Martin Ostoja-Starzewski

For More Information

• Research website
• ResearchGate
• ScholarGPS
• Wikipedia
• Find me on LinkedIn
• Academia Europaea

Education

• Ph.D. (Dean's Honour List), Mechanical Engineering, McGill University, Canada 1983
• M. Eng. (Thesis option), Mechanical Engineering, McGill University, Canada 1980
• Engineer, Mechanical Engineering, Cracow University of Technology, Cracow, Poland 1977

Biography

Martin Ostoja-Starzewski is a Professor of Mechanical Science and Engineering, with an affiliate appointment at Beckman Institute. His research interests are primarily in (thermo)mechanics and transport phenomena in random and fractal media, advanced continuum theories, and stochastic wave propagation. His work established quantitative estimates of the size of representative volume element (RVE) of continuum models for many linear and nonlinear (in)elastic materials. On this basis, Martin has played a central role in introducing a statistical volume element (SVE) to formulate micromechanics-based, tensor random field models for stochastic PDEs and finite elements. In recent years, Martin has (i) led mechanics of fractal materials, and (ii) pioneered continuum physics with spontaneous violations of the second law of thermodynamics. He wrote 250+ journal papers, including 20+ in Proceedings/Philosophical Transactions of Royal Society, London A; 10+ in PRB, PRE, and PRL. Martin also wrote four books: 1. Microstructural Randomness and Scaling in Mechanics of Materials, CRC Press (2007); 2. Thermoelasticity with Finite Wave Speeds (with J. Ignaczak), Oxford Mathematical Monographs (2009); 3. Tensor-Valued Random Fields for Continuum Physics (with A. Malyarenko), Cambridge Monographs on Mathematical Physics (2019); 4. Random Fields of Piezoelectricity and Piezomagnetism (with A. Malyarenko and A. Amiri-Hezaveh), SpringerBriefs (2020). Martin is very active in the editorial sphere having (co-)edited 16 books/journal special issues and co-organized various meetings. Also, Editor of Acta Mechanica (2017-2024), Chair Managing Editor of Mathematics and Mechanics of Complex Systems (MEMOCS, 2012-2023), Editor-in-Chief of Journal of Thermal Stresses (2017-); Assoc. Editor of Mechanics Research Communications (2015-) and ASME Journal of Applied Mechanics (2006-2012); co-Editor of CRC Modern Mechanics and Mathematics Series (2012-). He is on the editorial boards of 10+ other journals. He is a Fellow of ASME, AAM (American Academy of Mechanics), WIF (World Innovation Foundation), SES, and Associate Fellow of AIAA. He was on the Executive Committee of The International Society for the Interaction of Mechanics and Mathematics (ISIMM), 2013-2016. Worcester Reed Warner Medal of ASME (2018). Rothschild Distinguished Visiting Fellow at the Isaac Newton Institute for Mathematical Sciences, University of Cambridge (2023). He is also a member of European Academy of Sciences and Arts (2022), and Academia Europaea (2024).

Academic Positions

• Rothschild Distinguished Visiting Fellow, “Uncertainty quantification and stochastic modelling of materials” at Isaac Newton Institute for Mathematical Sciences, University of Cambridge (2023)
• Associate of Center for Advanced Study, 2013/14
• Timoshenko Distinguished Visitor, Mechanics and Computation, Stanford University, Jan.-Feb. 2012
• Visiting Scientist, Institute for Materials Testing, University of Stuttgart, Germany, Dec. 2004
• Visiting Scientist, GKSS Research Centre, Geesthacht, Germany, Oct. 2001
• Visiting Scientist, Center for Mathematical Morphology, Ecole des Mines de Paris, France, Mar. 1999 and Mar. 2000
• Visiting Scientist, Laboratory of Solid Mechanics, Ecole Polytechnique, France, Sept. 1995
• Visiting Scientist, Institute for Mechanics and Materials, University of California, San Diego, Jun. - Aug. 1994, Jul. – Oct. 1995
• Visiting Scientist, Swiss Federal Institute of Technology, Switzerland, Oct. 1994
• Visiting Scientist, Department of Theoretical and Applied Mechanics, Cornell University, Aug. 1989 and Mar. 1990
• Professor, Department of Mechanical Science and Engineering, UIUC, Jan. 2006-date
• Canada Research Chair in Mechanics of Materials (Tier I), Department of Mechanical Engineering, McGill University, Sept 2001 - Dec. 2005
• Professor, Department of Mechanical Engineering, McGill University, Sept. 2001 - Dec. 2005
• Adjunct Faculty, School of Materials Science and Engineering, Georgia Institute of Technology, 1997-2000
• Professor of Materials Engineering, Institute of Paper Science & Technology, Oct. 1995 - Aug 2001
• Associate Professor, Department of Materials Science and Mechanics, Michigan State University, Sept. 1990 - Oct. 1995
• Assistant Professor, Department of Aeronautics and Astronautics, Purdue University, Aug. 1985 - Aug. 1990

Other Professional Employment

• Founder and President, Quadra Dynamics, Inc., Montreal, Canada, Apr. 1984 - Aug. 1985
• Postdoctoral Research Associate, Mechanical and Electrical Engineering, McGill University, May 1983 - April 1984
• Design Engineer, Angelis Co., Vienna, Austria, 1978
• Design Engineer, Muller Manufacturing Co., Montreal, Canada, 1978

Major Consulting Activities

• LytEn, Inc.
• Army Institute for Multi Scale Reactive Modeling
• Aerospace, Automotive, Mining, Polymer and Paper Industries in USA, Canada, Sweden
• COREM Consortium, Quebec City, Canada
• Consultant for e-Xstream Engineering, Louvain-la-Neuve, Belgium

Other Professional Activities

• May 2014 - present, Site co-Director of NSF Industry/University Cooperative Research Center for Novel High Voltage/Temperature Materials and Structures
• Feb. 2008 - present, Part-Time Faculty at Beckman Instittute, Bioimaging Science and Technology
• Oct. 2007- present, Member of The Institute for Condensed Matter Theory

Graduate Research Opportunities

I have numerous problems and topics of potential interest to a broad range of students.

Research Interests

• Helices, Helically-Wound Cables
• Bioenegineering: Traumatic brain injury modeling, electrosurgery modeling
• Mechanical and electromagnetic waves: stochastic propagation, scattering, tunneling effects, shielding
• Spontaneous violations of entropy inequality
• Continuum mechanics and thermodynamics (generalized, stochastic, fractional...)
• Random, fractal, and multiscale media

Books Authored or Co-Authored (Original Editions)

• A. Malyarenko, M. Ostoja-Starzewski and A. Amiri-Hezaveh, Random Fields in Piezoelectricity and Piezomagnetism: Correlation Structures, SpringerBriefs in Applied Sciences and Technology and SpringerBriefs in Mathematical Methods, 2020.
• Malyarenko, A. and Ostoja-Starzewski, M., Tensor-Valued Random Fields for Continuum Physics, Cambridge Monographs on Mathematical Physics, Cambridge University Press, 2019.
• Ignaczak, J. and M. Ostoja-Starzewski, Thermoelasticity with Finite Wave Speeds, Oxford Mathematical Monographs, Oxford University Press, ISBN 978-0-19-954164-5, 2009.
• Ostoja-Starzewski, M., Microstructural Randomness and Scaling in Mechanics of Materials, The Chapman & Hall/CRC Modern Mechanics and Mathematics Series, ISBN 9781584884170, 2008.

Books Edited or Co-Edited (Original Editions)

• Guest Editor, “Mykhailo Yadrenko 90th Anniversary” of Theory of Probability and Mathematical Statistics on "Theory and Applications of Random Fields," 2021.
• Editor of Section "Mechanics of Random and Fractal Media" of Encyclopedia of Continuum Mechanics, Springer, 2020.
• Ostoja-Starzewski, M. and V. Zampoli, Guest Editors, Special Issue “Bruno Boley 90th Anniversary Issue,” of Mechanics Research Communications 68, 1-108, 2015.
• Ostoja-Starzewski, M., Associate Editor, Handbook of Damage Mechanics, Springer, 2014.
• Trovalusci, P. and M. Ostoja-Starzewski, Guest Editors, Special Issue of International Journal for Multiscale Computational Engineering 9(5), 2011.
• Ostoja-Starzewski, M., Editor, Proceedings 8th Int. Congress Thermal Stresses, 2009.
• Ostoja-Starzewski, M. and V. F. Nesterenko, Guest Editors, J.D. Goddard Special Issue of Acta Mechanica, 205:1-4, 2009.
• Ostoja-Starzewski, M., Ed., Proceedings of 20th Canadian Congress of Applied Mechanics - CANCAM, ISBN: 0-77170628-6, 2005.
• Bravo-Castillero, J., R. E. Khayat, M. Ostoja-Starzewski, R. Rodriguez-Ramos, and A. Rubinstein, Guest Editors, Mechanics Pan America - Special Issue of International Journal of Solids and Structures, Vol. 42:21-22, 2005.
• Bravo-Castillero, J., R. Rodriguez-Ramos, and M. Ostoja-Starzewski, Eds., Applied Mechanics in the Americas, Vol. 10, 2004.
• Jeulin, D. and M. Ostoja-Starzewski, Eds., Mechanics of Random and Multiscale Microstructures, CISM Courses and Lectures Vol. 430, Springer, Wien-New York, 2001.
• Ostoja-Starzewski, M., Guest Editor, Scale Effects in Heterogeneous Materials - Special Issue of Mechanics of Materials, Vol. 31:12, 1999.
• Olson, L., M. R. Baccouche, K. T. Ramesh, T. Kundu, H. V. Tippur, M. Ostoja-Starzewski, A. J. Golnaraghi, W. Chen and A. M. Sastry, Eds., Applied Mechanics Division Book of Abstracts, ASME Press, 1998.
• Jasiuk, I. and M. Ostoja-Starzewski, Guest Editors, Micromechanics of Random Media II - Special Issue of International Journal of Solids and Structures, Vol. 35:19, 1998.
• Ostoja-Starzewski, M., Guest Editor, Statistical Fracture Mechanics - Special Issues of Engineering Fracture Mechanics, Vol. 57:2-3, Vol. 58:5-6, 1997.
• Ghosh, S. and M. Ostoja-Starzewski, Eds., Computational Methods in Micromechanics, AMD-Vol. 212 and MD-Vol. 62, ASME Press, 1995.
• Ostoja-Starzewski, M. and I. Jasiuk, Eds., Micromechanics of Random Media - Special Issue of Applied Mechanics Reviews, Vol. 47(1, Part 2), 1994.

Chapters in Books

• M. Ostoja-Starzewski, “Spontaneous violations of the second law of thermodynamics on microscales” in Continuum Thermodynamics section in Encyclopedia of Continuum Mechanics, Springer, 2020.
• Ostoja-Starzewski, M., S. Kale, A. Malyarenko, B. Raghavan, S.I. Ranganathan, and J. Zhang, "Scaling to RVE in random media," Advances in Applied Mechanics 49, 111-211, 2016.
• Kale, S. and M. Ostoja-Starzewski, “Lattice and Particle Modeling of Damage Phenomena,” Damage Mechanics Handbook, Springer, 203-238, 2014.
• Ranganathan, S. I. and M. Ostoja-Starzewski, "Scaling and Homogenization in Spatially Random Composites," Chapter 2 in Mathematical Methods and Models in Composites, World Scientific, 61-102, 2013.
• Li, J. and M. Ostoja-Starzewski, “Fractal Solids, Product Measures and Continuum Mechanics,” Chapter 33 in Mechanics of Generalized Continua: One Hundred Years after the Cosserats, 315-323, Springer, 2010.
• Jasiuk, I. and M. Ostoja-Starzewski, “From Lattices and Composites to Micropolar Continua,” in Micromechanics and Nanoscale Effects: MEMS, Multi-Scale Materials and Micro-Flows, V. M. Harik and L.-S. Luo, eds., Kluwer Academic Publishers, Amsterdam, Chapter 7, 175-212, 2004.
• Ostoja-Starzewski, M., “Selected Topics in Stochastic Wave Propagation,” in Advances in Mechanics and Mathematics - II, D. Y. Gao and R. W. Ogden, eds., Kluwer Academic Publishers, Amsterdam, Chapter 3, 145–206, 2003.

Selected Articles in Journals

• A. Madhukar, Y. Park, W. Kim, H.J., R. Berlin, L.P. Chamorro, J. Bentsman, and M. Ostoja-Starzewski, “Heat conduction in porcine muscle and blood: Experiments and time-fractional telegraph equation model,” Journal of the Royal Society Interface 16, 20190726, 2019.
• B.V. Raghavan and M. Ostoja-Starzewski, “On the hydrodynamic stability of a Lennard-Jones molecular fluid,” Journal of Statistical Physics, 177(1), 61-77, 2019.
• A. Amiri-Hezaveh, P. Karimi and M. Ostoja-Starzewski, “Stress field formulation of electro-magneto-elastic materials,” Math. Mech. Solids 24(12), 3806-3822, 2019.
• A. Malyarenko and M. Ostoja-Starzewski, “Towards stochastic continuum damage mechanics,” International Journal of Solids and Structures 184, 202-210, 2019.
• P. Karimi, A. Amiri-Hezaveh, H. Moghaddasi, F. A Sabet and M. Ostoja-Starzewski, “Elastodynamics of a multilayered transversely isotropic half-space due to rigid motion of foundation,” Wave Motion 88, 106-128, 2019.
• D. Zhang, M. Ostoja-Starzewski and L. Le Marrec, “Mechanical and thermal couplings in helical strands,” Journal of Thermal Stresses 42(1), 185-212, 2018.
• P. Karimi, X. Zhang, S. Yan, M. Ostoja-Starzewski and J.-J. Jin, “Electrostatic and magnetostatic properties of random materials,” Physical Review E 99(2), 022120-1-9, 2019. DOI: 10.1103/PhysRevE.99.022120
• A. Madhukar and M. Ostoja-Starzewski, “Finite element methods in head impact simulations: A review,” Annals of Biomedical Engineering 47(9), 1832–1854, 2019.
• D. Zhang and M. Ostoja-Starzewski, “Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element,” Acta Mechanica, 230, 1725-1743, 2019.
• X. Zhang, V. Nishawala and M. Ostoja-Starzewski, “Anti-plane shear Lamb’s problem on random mass density fields with fractal and Hurst effects,” Evolution Equations & Control Theory, special issue "Nonlinear Wave Phenomena in Continuum Physics: Some Recent Findings," 8(1), 231-246, 2019.
• D.W. Abueidda, P. Karimi, J.-J. Jin, N.A. Sobh, I.M. Jasiuk and M. Ostoja-Starzewski, “Shielding effectiveness and bandgaps of interpenetrating phase composites based on the Schwarz Primitive surface,” Journal of Applied Physics 124, 175102, 2018.
• J. Zhang and M. Ostoja-Starzewski, “Does a fractal microstructure require a fractional viscoelastic model?” Fractal and Fractional 2(1), 12, 2018.
• S. Kale, P. Karimi, F. Sabet, I. Jasiuk, M. Ostoja-Starzewski, “Tunneling-percolation model of multicomponent nanocomposites,” Journal of Applied Physics, 123, 085104, 2018. selected for journal cover
• M. Ostoja-Starzewski, “Ignaczak equation of elastodynamics,” Mathematics and Mechanics of Solids 24(11), 3674-3713, 2018.
• B.V. Raghavan, P. Karimi and M. Ostoja-Starzewski, “Stochastic characteristics and Second Law violations of atomic fluids in Couette flow," Physica A 496, 90-107, 2018.
• P. Karimi, A. Amiri-Hezaveh, M. Ostoja-Starzewski and J.-M. Jin, “Electromagnetic characteristics of systems of prolate and oblate ellipsoids,” Journal of Applied Physics 122, 185101-1-10, 2017.
• M. Ostoja-Starzewski and R.E. Khayat, “Oldroyd fluids with hyperbolic heat conduction,” Mechanics Research Communications – special issue "Mechanics from the 20th to the 21st Century: The Legacy of Gérard A. Maugin" 93, 108-113, 2018.
• V. Nishawala and M. Ostoja-Starzewski, “Acceleration waves on random fields with fractal and Hurst effects,” Wave Motion 74, 134-150, 2017.
• A. Malyarenko and M. Ostoja-Starzewski, “Fractal planetary rings: Energy inequalities and random field model,” International Journal of Modern Physics B 31(30), 1750236 (14 pages), 2017.
• L. Le Marrec, D. Zhang and M. Ostoja-Starzewski, “Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod,” Acta Mechanica (“Franz Ziegler memorial issue”), on line, 2017.
• A. Amiri-Hezaveh, H. Moghaddasi, P. Karimi and M. Ostoja-Starzewski, “Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack,” ZAMM, on line, 2017.
• A. Madhukar, Y. Chen and M. Ostoja-Starzewski, “Effect of cerebrospinal fluid modeling on spherically convergent shear waves during blunt head trauma,” International Journal for Numerical Methods in Biomedical Engineering, on line, 2017.
• Ostoja-Starzewski, M., "Admitting spontaneous violations of the second law in continuum thermomechanics," invited to Special Issue "Limits to the Second Law of Thermodynamics: Experiment and Theory," Entropy 19(78), 10 pages, 2017.
• Raghavan, B. and M. Ostoja-Starzewski, "Shear-thinning characteristics of molecular fluids undergoing planar Couette flow," Physics of Fluids 29, 023103-1-7, 2017.
• Zhang, D., K.A. Dahmen, and M. Ostoja-Starzewski, “Scaling of slip avalanches in sheared amorphous materials based on large-scale atomistic simulations,” Physical Review E95, 032902-1-12, 2017.
• Karimi, P., M. Ostoja-Starzewski, and I. Jasiuk, “Experimental and computational study of shielding effectiveness of polycarbonate carbon nanocomposites,” Journal of Applied Physics 120, 145103-1-11, 2016.
• Malyarenko, A. and M. Ostoja-Starzewski, “A random field formulation of Hooke's law in all elasticity classes,” Journal of Elasticity, online, pp. 1-34, 2016.
• Nishawala, V., M. Ostoja-Starzewski, M. Leamy, and E. Porcu, “Lamb's problem on random mass density fields with fractal and Hurst effects,” Proceedings of the Royal Society A, online, 2016.
• Kale, S., F. Sabet, I. Jasiuk and M. Ostoja-Starzewski, “Effect of filler alignment on percolation in polymer nanocomposites using tunneling-percolation model,” Journal of Applied Physics 120, 045105-1-10, 2016.
• Kale, S. and M. Ostoja-Starzewski, “Representing stochastic damage evolution as a jump Markov process,” International Journal of Damage Mechanics, online, 2016.
• Joumaa, H. and M. Ostoja-Starzewski, "On the dilatational wave motion in anisotropic fractal solids," Mathematics and Computers in Simulation (C. Christov issue) 127, 114-130, 2016.
• Malyarenko, A. and M. Ostoja-Starzewski, "Spectral expansions of homogeneous and isotropic tensor-valued random fields," arXiv:1402.1648, Journal of Applied Mathematics and Physics (ZAMP) 67(3), paper 59, 2016.
• Zhang, J. and M. Ostoja-Starzewski, "Frequency-dependent scaling from mesoscale to mac-roscale in viscoelastic random composites," Proceedings of the Royal Society A 472, 20150801, 2016.
• Zhang, D. and M. Ostoja-Starzewski, "Finite element solutions to the bending stiffness of a single-layered helically wound cable with internal friction," ASME Journal of Applied Mechanics 83, 031003-1-8, 2016.
• Nishawala, V., M. Ostoja-Starzewski, M. Leamy, and P.N. Demmie, “Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments,” Wave Motion 60, 73-83, 2016.
• Ostoja-Starzewski, M., "Second law violations, continuum mechanics, and permeability," Continuum Mechanics and Thermodynamics 28, 489-501, 2016.
• Demmie, P.N. and M. Ostoja-Starzewski, "Local and nonlocal material models, spatial randomness, and impact loading," Archive of Applied Mechanics 86(1), 39-58, 85th Anniversary Special Issue, 2016.
• Ostoja-Starzewski, M., "Pirouette launch and energy storage system," Journal of the British Interplanetary Society 68, 406-407, 2015.
• Kale, S., F. Sabet, I. Jasiuk, and M. Ostoja-Starzewski, "Tunneling-percolation behavior of polydisperse prolate and oblate ellipsoids," Journal of Applied Physics 118(15), 154306, 2015. (on journal cover).
• Shen, L., M. Ostoja-Starzewski, and E. Porcu, "Harmonic oscillator driven by random processes having fractal and Hurst effects," Acta Mechanica 226(11), 3653-3672, 2015.
• Kale, S., A. Saharan, S. Koric, and M. Ostoja-Starzewski, “Scaling and bounds in thermal conductivity of planar Gaussian correlated microstructures,” Journal of Applied Physics 117, 104301, 2015.
• Ostoja-Starzewski, M., L. Costa, and S. I. Ranganathan, "Scale-dependent homogenization of random hyperbolic thermoelastic solids," Journal of Elasticity 118, 243-250, 2015.
• Shen, L., M. Ostoja-Starzewski, and E. Porcu, “Elastic rods and shear beams with random field properties under random field loads: fractal and Hurst effects,” ASCE Journal of Engineering Mechanics 141(7), 04015002-1-8, 2015. doi: 10.1061/(ASCE)EM.1943-7889.0000906.
• Shen, L., M. Ostoja-Starzewski, and E. Porcu, "Responses of first-order dynamical systems to Matern, Cauchy, or Dagum excitations," Mathematics and Mechanics of Complex Systems (MEMOCS) 3(1), 27-41, 2014.
• Raghavan, B., S. Ranganathan, and M. Ostoja-Starzewski, "Electrical properties of random checkerboards at finite scales," AIP Advances 5, 017131-1-12, 2015.
• Ostoja-Starzewski, M., L. Shen, and A. Malyarenko, "Tensor random fields in conductivity and classical or micropolar elasticity," Mathematics and Mechanics of Solids, online, 2013.
• Zubelewicz, A., E. Rougier, M. Ostoja-Starzewski, E. E. Knight, C. Bradley, and H. S. Viswanathan, “A mechanism based model for dynamic behavior and fracture of geomaterials,” Int. J. Rock Mech. & Mining Sci. 72, 277-282, 2014.
• Kale, S. and M. Ostoja-Starzewski, “Morphological study of elastic-plastic-brittle transitions in disordered media,” Physical Review E 90, 042405-1-15, 2014.
• Ostoja-Starzewski, M. and A. Malyarenko, “Continuum mechanics beyond the second law of thermodynamics,” Proceedings of the Royal Society A 470, 20140531, 2014.
• Trovalusci, P., M. Ostoja-Starzewski, M. L. de Bellis, and A. Muralli, “Homogenization of random composites as micropolar continua,” European Journal of Mechanics/A: Solids 49, 396-407, 2014.
• Trovalusci, P., M. L. de Bellis, M. Ostoja-Starzewski, and A. Muralli, “Particulate random composites homogenized as micropolar materials,” Meccanica 49, 2719-2727, 2014.
• Shen, L., M. Ostoja-Starzewski, and E. Porcu, “Bernoulli-Euler beams with random field properties under random field forcings: fractal and Hurst effects,” Arch. Appl. Mech. 84, 1595-1626, 2014.
• Kale, S. and M. Ostoja-Starzewski, "Elastic-plastic-brittle transitions in disordered media," Physical Review Letters 112, 045503-1-5, 2014.
• Malyarenko, A. and M. Ostoja-Starzewski, “Statistically isotropic tensor random fields: Correlation structures,” Mathematics and Mechanics of Complex Systems (MEMOCS) 2(1), 2014.
• Ostoja-Starzewski, M., "Viscothermoelasticity with finite wave speeds: Thermomechanical laws," Acta Mechanica 225(4-5), 1277-1285, 2013.
• Li, J. and M. Ostoja-Starzewski, "Fractal shear bands at elastic-plastic transitions in random Mohr-Coulomb materials," ASCE Journal of Engineering Mechanics 140(9), 04014072-1-12, 2013.
• Ostoja-Starzewski, M., J. Li, H. Joumaa and P. N. Demmie, "From fractal media to continuum mechanics," Zeit. Angew. Math. Mech. (ZAMM) 93, 1-29, 2014. DOI 10.1002/zamm.201200164
• Joumaa, H., M. Ostoja-Starzewski, and P. N. Demmie, "Elastodynamics in micropolar fractal solids," Mathematics and Mechanics of Solids 19(2), 117-134, 2014.
• Li, J. and M. Ostoja-Starzewski, "Comment on "Hydrodynamics of fractal continuum flow" and "Map of fluid flow in fractal porous medium into fractal continuum flow," Physical Review E, 88(5), 057001, 2013.
• Sena, M. P., M. Ostoja-Starzewski, and L. Costa, "Stiffness tensor random fields through upscaling of planar random materials," Probabilistic Eng. Mech. 34, 131-156, 2013.
• Joumaa, H. and M. Ostoja-Starzewski, "Acoustic-elastodynamic interaction in isotropic fractal media," European Physical Journal 222, 1949-1958, 2013.
• Dalaq, A.S., S. I. Ranganathan, and M. Ostoja-Starzewski, “Scaling function in conductivity of planar random checkerboards,” Computational Materials Science, 79, 252-261, 2013.
• Saharan, S., M. Ostoja-Starzewski, and S. Koric, “Fractal Geometric Characterization of Functionally Graded Materials,” ASCE Journal of Nanomechanics and Micromechanics 3(4), 04013001-1-13, 2013.
• Zubelewicz, A., A. Ionita, M. Ostoja-Starzewski, D. Thompson, D. Shunk, M. W. Lewis, J. Lawson, S. Kale, and S. Koric, “Fracture model for cemented aggregates,” AIP Advances 3, 012119-1-10, 2013.
• Ostoja-Starzewski, M., P. N. Demmie, and A. Zubelewicz, "On Thermodynamic Restrictions in Peridynamics," ASME J. Appl. Mech. 80, 014502, 2013.
• Ostoja-Starzewski, M., "Electromagnetism on anisotropic fractal media," ZAMP, 64(2), 381-390, 2013.
• Li, J. and M. Ostoja-Starzewski, "Edges of Saturn's rings are fractal," on Arxiv, 2012. SpringerPlus 4, 158, 2015.
• Li, J., A. Saharan, S. Koric, and M. Ostoja-Starzewski, �Elastic-plastic Transition in 3D Random Materials: Massively Parallel Simulations, Fractal Morphogenesis and Scaling Function,� Philosophical Magazine, 92(22), 2733-2758, 2012.
• Porcu, E., P. Gregori, J. Mateu, and M. Ostoja-Starzewski, “New Classes of Spectral Densities for Lattice Processes and Random Fields Built from Simple Univariate Margins,” Stochastic Environmental Research and Risk Assessment, 26(4), 479-490, 2012.
• Ostoja-Starzewski, M., L. Costa, and A. Dawson, “Shock Waves in Random Viscoelastic Media,” Acta Mechanica 223, 1777-1788, 2012.
• Chen, Y., B. Sutton, C. Conway, S. P. Broglio, and M. Ostoja-Starzewski, “Brain Deformation under Mild Impact: Magnetic Resonance Imaging-based Assessment and Finite Element Study,” invited to special issue "Brain Neuro-Mechanics" of International Journal of Numerical Analysis and Modeling Series B, 3(1), 20-35, 2012.
• Ostoja-Starzewski, M. "Stochastic Finite Elements: Where is the Physics?" Theoretical and Applied Mechanics 38(4), 379-396, 2011.
• Li, J. and M. Ostoja-Starzewski, “Fractal Solids, Product Measures and Fractional Wave Equations,” (invited and revised reprint of 1.120) Formamente VI, 93-113, 2011.
• Ostoja-Starzewski, M. and A. Zubelewicz, “Powerless Fluxes and Forces, and Change of Scale in Irreversible Thermodynamics,” Journal of Physics A: Mathematical and Theoretical 44, 335002, 2011.
• Joumaa, H. and M. Ostoja-Starzewski, "Stress and Couple-stress Invariance in Non-centrosymetric Micropolar Planar Elasticity," Proceedings of the Royal Society, London A 467(2134), 2896-2911, 2011. doi: 101098/rspa2010.0660.
• Li, J. and M. Ostoja-Starzewski, "Micropolar Continuum Mechanics of Fractal Media," Int. Journal of Engineering Science (invited to A.C. Eringen special issue), 49, 1302-1310, 2011.
• Joumaa, H. and M. Ostoja-Starzewski, "On the Wave Propagation in Isotropic Fractal Media," Journal of Applied Mathematics and Physics (ZAMP), 62, 1117-1129, 2011.
• Demmie, P. N. and M. Ostoja-Starzewski, "Waves in Fractal Media," Journal of Elasticity (D.E. Carlson special issue), 104, 187-204, 2011.
• Ranganathan, S. I., M. Ostoja-Starzewski, and M. Ferrari, "Quantifying the Anisotropy in Biological Materials," ASME J. Applied Mechanics, 78, 064501-1-4, 2011.
• Khayat, R. E. and M. Ostoja-Starzewski, "On the Objective Rate of Change of Heat and Stress Fluxes. Connection with Micro/nano-scale Convection," Discrete and Continuous Dynamical Systems - Series B (DCDS-B), 15(4), 991-998, 2011.
• Li, J. and M. Ostoja-Starzewski, "Fractals in Thermo-Elasto-Plastic Materials," J. Mech. Mater. Struct. (Charles and Marie-Louise Steele commemorative issue) 6(1-4), 351-359, 2011.
• Ostoja-Starzewski, M., "Macrohomogeneity Condition in Dynamics of Micropolar Media," Arch. Appl. Mech., 81(7), 899-906, 2011.
• Ostoja-Starzewski, M., "Dissipation Function in Hyperbolic Thermoelasticity," J. Thermal Stresses, 34(1), 68–74, 2011.
• Wang, G., A. H.-D. Cheng, M. Ostoja-Starzewski, A. Al-Ostaz, and P. Radziszewski, "Hybrid Lattice Particle Modelling Approach for Polymeric Materials Subject to High Strain Rate Loads," Polymers 2010, 2, 3-30, 2010.
• Y. Chen and M. Ostoja-Starzewski, "MRI-based Finite Element Modeling of Mild Head Trauma: Mesh Smoothing and Simulation Results," Acta Mechanica, 213(1-2), 155-167, 2010.
• Li, J. and M. Ostoja-Starzewski, "Fractals in Elastic-hardening Plastic Materials," Proceedings of the Royal Society, London A 466, 603-621, 2010.
• Li, J. and M. Ostoja-Starzewski, "Fractal Pattern Formation at Elastic-plastic Transition in Heterogeneous Materials," ASME Journal of Applied Mechanics 77, 021005-1-7, 2010.
• Li, J. and M. Ostoja-Starzewski, "Fractal Solids, Product Measures and Fractional Wave Equations," Proceedings of the Royal Society, London A, 465, 2521-2536, 2009. Errata (2010).
• Ranganathan, S. I. and M. Ostoja-Starzewski, "Towards Scaling Laws in Random Polycrystals," International Journal of Engineering Science (A.J.M. Spencer special issue), 47, 1322–1330, 2009.
• Ostoja-Starzewski, M., "A Derivation of the Maxwell-Cattaneo Equation from the Free Energy and Dissipation Potentials," Intl. J. Engineering Science, 47, 807-810, 2009. DOI: 10.1016/j.ijengsci.2009.03.002
• Ostoja-Starzewski, M. and J. Li, “Fractal Materials, Beams and Fracture Mechanics,” J. Appl. Math. Phys. (ZAMP) 60(6), 1194-1205, 2009. DOI:10.1007/s00033-009-8120-8
• Ostoja-Starzewski, M., “Extremum and Variational Principles for Elastic and Inelastic Media with Fractal Geometries,” Acta Mechanica, 205:1-4, 161-170, 2009. DOI:10.1007/s00707-009-0169-0
• Ostoja-Starzewski, M., “Continuum Mechanics Models of Fractal Porous Media: Integral Relations and Extremum Principles,” Journal of Mechanics of Materials and Structures, 4(5), 901-912, 2009.
• Ranganathan, S. I. and M. Ostoja-Starzewski, “Universal Elastic Anisotropy Index,” Physical Review Letters 101, 055504-1-4, 2008.
• Ranganathan, S. I. and M. Ostoja-Starzewski, “Mesoscale Anisotropic Heat Conductivity in Aggregates of Cubic, Trigonal, Hexagonal and Tetragonal Crystals,” Physical Review B 77, 214308-1-10, 2008.
• Ranganathan, S. I. and M. Ostoja-Starzewski, “Scaling Function, Anisotropy and the Size of RVE in Elastic Random Polycrystals,” Journal of the Mechanics and Physics of Solids 56, 2773-2791, 2008.
• Jeulin, D., W. Li, and M. Ostoja-Starzewski, “On the Geodesic Property of Strain Field Patterns in Elasto-Plastic Composites,” Proceedings of the Royal Society, London A, 464, 1217-1227, 2008.
• Hill, R. J. and M. Ostoja-Starzewski, “The Electric-field-induced Displacement of a Charged Spherical Colloid Embedded in an Elastic Brinkman Medium,” Physical Review E, 77, 011404, 1-12, 2008.
• Ranganathan, S. I. and M. Ostoja-Starzewski, “Scale-dependent Homogenization of Inelastic Random Polycrystals,” ASME Journal of Applied Mechanics 75, 051008-1-9, 2008.
• Ostoja-Starzewski, M., “On Turbulence in Fractal Porous Media,” Journal of Applied Mathematics and Physics (ZAMP), 59:6, 1111-1117, 2008.
• Pèrez-Vivar, J. M., J. Bravo-Castillero, R. Rodriguez-Ramos, and M. Ostoja-Starzewski, “The Effect of Imperfect Contact on the Homogenization of a Micro-periodic Helix,” Mathematics and Mechanics of Solids, 13, 431-446, 2008.
• Ostoja-Starzewski, M. and H. Shahsavari, “On a Helix Made of a Fractional Viscoelastic Material,” ASME Journal of Applied Mechanics, 75, 011012-1-4, 2007.
• Ostoja-Starzewski, M., X. Du, Z. Khisaeva, and W. Li, “Comparisons of the Size of Representative Volume Element in Elastic, Plastic, Thermoelastic, and Permeable Random Microstructures,” International Journal for Multiscale Computational Engineering, 5:2, 73-82, 2007.
• Ostoja-Starzewski, M., “Towards Thermoelasticity of Fractal Media,” Journal of Thermal Stresses 30:9-10, 889-896, 2007.
• Ostoja-Starzewski, M., “Towards Thermomechanics of Fractal Media,” Journal of Applied Mathematics and Physics (ZAMP) 58:6, 1085-1096, 2007.
• Khisaeva, Z. F. and M. Ostoja-Starzewski, “Scale Effects in Infinitesimal and Finite Thermoelasticity of Random Composites,” Journal of Thermal Stresses, 30, 587-603 , 2007.
• Wang, G. and M. Ostoja-Starzewski, “Large Eddy Simulation of Sheet/cloud Cavitation on a NACA0015 Hydrofoil,” Applied Mathematical Modelling, 31:3, 417-447, 2007.
• Lerner, H., X. Du, A. Costopoulos, and M. Ostoja-Starzewski, “Lithic Raw Material Physical Properties and Use Wear Accrual,” Journal of Archaeological Sciences, 34:5, 711-722, 2007.
• Li, W. and M. Ostoja-Starzewski, “Yield of Random Elasto-Plastic Materials,” Journal of Mechanics of Materials and Structures, 1, 1055-1073, 2006.
• Khisaeva, Z. F. and M. Ostoja-Starzewski, “On the Size of RVE in Finite Elasticity of Random Composites,” Journal of Elasticity, 85, 153-173, 2006.
• Wang, G. and M. Ostoja-Starzewski, “Mesoscale Simulations of Atmospheric Flow and Tracer Transport in Phoenix, Arizona,” Meteorological Applications, 13, 235-241, 2006.
• Ostoja-Starzewski, M. and G. Wang, “Particle Modeling of Random Crack Patterns in Epoxy Plates,” Probabilistic Engineering Mechanics, 21:3, 267-275, 2006.
• Du, X. and M. Ostoja-Starzewski, “On the Size of Representative Volume Element for Darcy Law in Random Media,” Proceedings of the Royal Society, London A, Vol. 462, 2949-2963, 2006.
• Du, X. and M. Ostoja-Starzewski, “On the Scaling from Statistical to Representative Volume Element in Thermoelasticity of Random Materials,” Networks and Heterogeneous Media, 1:2, 259-274, 2006.
• Ostoja-Starzewski, M. and J. Trebicki, “Stochastic Dynamics of Acceleration Wavefronts in Random Media,” S. Torquato special issue of Mechanics of Materials, 38, 840-848, 2006.
• Ostoja-Starzewski, M., “Material Spatial Randomness - from Statistical to Representative Volume Element,” Probabilistic Engineering Mechanics, 21:2, 112-132, 2006.
• Pèrez-Vivar, J. M., J. Bravo-Castillero, R. Rodriguez-Ramos, and M. Ostoja-Starzewski, “Homogenization of a Micro-periodic Helix with Parabolic or Hyperbolic Heat Conduction,” Journal of Thermal Stresses, 29, 467-483, 2006.
• Khisaeva, Z. and M. Ostoja-Starzewski, “Mesoscale Bounds in Finite Elasticity and Thermoelasticity of Random Composites,” Proceedings of the Royal Society, London A, 462, 1167-1180, 2006.
• Wang, G., M. Ostoja-Starzewski, P. Radziszewski, and M. Ourriban, “Particle Modeling of Dynamic Fragmentation - II: Fracture in Single- and Multi-phase Materials,” Computational Materials Science, 35:2, 116-133, 2006.
• Shahsavari, H. and M. Ostoja-Starzewski, “On elastic and Viscoelastic Helices,” in honour of G. A. Maugin - Special Issue "Advances in Theoretical Mechanics" of Philosophical Magazine, 85:33-35, 4213-4230, 2005.
• Pèrez-Vivar, J. M., J. Bravo-Castillero, R. Rodriguez-Ramos, and M. Ostoja-Starzewski, “Homogenization of a Micro-Periodic Helix,” in honour of G. A. Maugin - Special Issue "Advances in Theoretical Mechanics” of Philosophical Magazine, 85:33-35, 4201-4212, 2005.
• Ostoja-Starzewski, M., "On the Admissibility of an Isotropic, Smooth Elastic Continuum," Archives of Mechanics, 57:4, 345-355, 2005.
• Khisaeva, Z. and M. Ostoja-Starzewski, “Thermoelastic Damping in Nanomechanical Resonators with Finite Wave Speeds,” Journal of Thermal Stresses, 29, 201-216, 2005.
• Wang, G. and M. Ostoja-Starzewski, “Particle Modeling of Dynamic Fragmentation - I: Theoretical considerations,” Computational Materials Science, 33:4, 429-442, 2005.
• Ostoja-Starzewski, M., “Scale Effects in Plasticity of Random Media: Status and Challenges,” International Journal of Plasticity, 21, 1119-1160, 2005.
• Shahsavari, H. and M. Ostoja-Starzewski, “Spectral Finite Element of a Helix,” Mechanics Research Communications, 32, 147-152, 2005.
• Jasiuk, I. and M. Ostoja-Starzewski, “Modeling of Bone at a Single Lamella Level,” Biomechanics and Modeling in Mechanobiology, 3, 67-74, 2004.
• Wang, G. and M. Ostoja-Starzewski, “Influence of Topography on the Phoenix CO2 Dome: a Computational Study,” Atmospheric Science Letters, 5, 103-107, 2004.
• Wang, G. and M. Ostoja-Starzewski, “A Numerical Study of Plume Dispersion Motivated by a Mesoscale Atmospheric Flow over a Complex Terrain,” Applied Mathematical Modelling, 28, 957-981, 2004.
• Ostoja-Starzewski, M., “Fracture of Brittle Micro-beams,” ASME Journal of Applied Mechanics, 71, 424-427, 2004.
• Jaklewicz, M., A. Litak, and M. Ostoja-Starzewski, “Friction and Scratch Resistance of Polyamide 6 Modified with Ionomeric Ethylene/Methacrylic Acid Copolymer,” Journal of Applied Polymer Science, 91:6, 3866-3870, 2004.
• Liszka, T. and M. Ostoja-Starzewski, “Effects of Microscale Material Randomness on the Attainment of Optimal Structural Shapes,” Structural and Multidisciplinary Optimization, 26:1-2, 67-76, 2004.
• Jasiuk, I. and M. Ostoja-Starzewski, “On the Reduction of Constants in Planar Cosserat Elasticity with Eigenstrains and Eigencurvatures,” Journal of Thermal Stresses, in honour of R. B. Hetnarski, 26, 1221-1228, 2003.
• Ostoja-Starzewski, M., “Thermoelastic Waves in a Helix with Parabolic or Hyperbolic Heat Conduction,” Journal of Thermal Stresses, in honour of R. B. Hetnarski, 26, 1205-1219, 2003.
• Ostoja-Starzewski, M. and A. N. Woods, “Spectral Finite Elements for Vibrating Rods and Beams with Random Field Properties,” Journal of Sound and Vibration, 268, 779-797, 2003.
• Castro, J. and M. Ostoja-Starzewski, “Elasto-Plasticity of Paper,” International Journal of Plasticity, in honour of Z. Mróz, 19:12, 2083-2098, 2003.
• Ostoja-Starzewski, M. and J. Castro, “Random Formation, Inelastic Response, and Scale Effects in Paper,” Philosophical Transactions of the Royal Society, London A, Special Issue: Micromechanics of Fluid Suspensions and Solid Composites, 361:1806, 965-986, 2003.
• Ostoja-Starzewski, M. and J. Trebicki, “On the Distance to Blow-up of Acceleration Waves in Random Media,” Continuum Mechanics and Thermodynamics, in honor of I. Müller, 15, 21-32, 2003.
• Ostoja-Starzewski, M., “Towards Stochastic Continuum Thermodynamics,” Journal of Non-Equilibrium Thermodynamics, 27:4, 335-348, 2002.
• Castro, J. and M. Ostoja-Starzewski, “Bounds on Mechanical Response of Multiphase Composite Materials with Random Structure,” ASME Southeastern Region XI Technical Journal, Special Inaugural Issue, 1:1, 5.1-5.8, 2002.
• Jiang, M., I. Jasiuk, and M. Ostoja-Starzewski, “Apparent Thermal Conductivity of Periodic Two-Dimensional Composites,” Computational Materials Science, 25:3, 329-338, 2002.
• Bouyge, F., I. Jasiuk, S. Boccara, and M. Ostoja-Starzewski, “A Micromechanically Based Couple-Stress Model of an Elastic Orthotropic Two-Phase Composite,” European Journal of Mechanics/A: Solids, 21:3, 465-481, 2002.
• Jiang, M., I. Jasiuk, and M. Ostoja-Starzewski, “Apparent Elastic and Elastoplastic Behavior of Periodic Composites,” International Journal of Solids and Structures, 39:1, 199-212, 2002.
• Ostoja-Starzewski, M., “Microstructural Randomness Versus Representative Volume Element in Thermomechanics,” ASME Journal of Applied Mechanics, 69, 25-35, 2002.
• Ostoja-Starzewski, M., “Lattice Models in Micromechanics,” Applied Mechanics Reviews, 55:1, 35-60, 2002.
• Ostoja-Starzewski, M., “On Geometric Acoustics in Random, Locally Anisotropic Media,” Continuum Mechanics and Thermodynamics, 13, 131-134, 2001.
• Ostoja-Starzewski, M., “Crack Patterns in Plates with Randomly Placed Holes: A Maximum Entropy Approach,” Mechanics Research Communications, 28:2, 193-198, 2001.
• Ostoja-Starzewski, M., “Michell Trusses in the Presence of Microscale Material Randomness: Limitation of Optimality,” Proceedings of the Royal Society, London A, 457, 1787-1797, 2001.
• Jiang, M., M. Ostoja-Starzewski, and I. Jasiuk, "Scale-Dependent Bounds on Effective Elastoplastic Response of Random Composites,” Journal of the Mechanics and Physics of Solids, 49:3, 655-673, 2001.
• Jiang, M., K. Alzebdeh, I. Jasiuk, and M. Ostoja-Starzewski, “Scale and Boundary Conditions Effects in Elastic Properties of Random Composites,” Acta Mechanica, 148:1-4, 63-78, 2001.
• Bouyge, F., I. Jasiuk, and M. Ostoja-Starzewski, “A Micromechanically Based Couple-Stress Model of an Elastic Two-Phase Composite,” invited paper, Special Issue: Mechanics Pan-America 2000, International Journal of Solids and Structures, 38:10-13, 1721-1735, 2001.
• Ostoja-Starzewski, M. and D. C. Stahl, “Random Fiber Networks and Special Elastic Orthotropy of Paper,” Journal of Elasticity, 60:2, 131-149, 2000.
• Ostoja-Starzewski, M., “Universal Material Property in Conductivity of Planar Random Microstructures,” Physical Review B, 62:5, 2980-2983, 2000.
• Castro, J. and M. Ostoja-Starzewski, “Particle Sieving by Percolation Through a Random Fiber Network,” Applied Mathematical Modelling, 24:8-9, 523-534, 2000.
• Ostoja-Starzewski, M., “A Discussion of ‘Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation’ by R. Ghanem,” ASME Journal of Applied Mechanics, 66, 824-825, 1999.
• Ostoja-Starzewski, M., S. Boccara, and I. Jasiuk, “Couple-stress Moduli and Characteristic Length of Composite Materials,” Mechanics Research Communications, 26:4, 387-396, 1999.
• Ostoja-Starzewski, M., M. B. Quadrelli, and D. C. Stahl, “Kinematics and Stress Transfer in Quasi-Planar Random Fiber Networks,” Comptes Rendus de l’Académie des Sciences Paris – Série IIb, 327, 1223-1229, 1999.
• Ostoja-Starzewski, M., “Microstructural Disorder, Mesoscale Finite Elements, and Macroscopic Response,” Proceedings of the Royal Society, London A, 455, 3189-3199, 1999.
• Ostoja-Starzewski, M., “Scale Effects in Materials with Random Distributions of Needles and Cracks,” Mechanics of Materials, 31:12, 883-893, 1999.
• Ostoja-Starzewski, M. and J. Trebicki, “On the Growth and Decay of Acceleration Waves in Random Media,” Proceedings of the Royal Society, London A, 455, 2577-2614, 1999.
• Alzebdeh, K. and M. Ostoja-Starzewski, “On a Spring Network Model and Effective Elastic Moduli of Granular Materials,” ASME Journal of Applied Mechanics, 66, 172-180, 1999.
• Ostoja-Starzewski, M. and X. Wang, “Stochastic Finite Elements as a Bridge Between Random Material Microstructure and Global Response,” invited paper, Computer Methods in Applied Mechanics and Engineering, Special issue: Computational Stochastic Mechanics, 168:1-4, 35-49, 1999.
• DiMillo, M. and M. Ostoja-Starzewski, “Paper Strength: Statistics and Correlation Structure,” International Journal of Fracture (Letters in Fracture and Micromechanics), 90, L33-L38, 1998.
• Ostoja-Starzewski, M., “Random Field Models and Scaling Laws of Heterogeneous Media,” Archives of Mechanics, special issue honoring H. Zorski, 50:3, 549-558, 1998.
• Alzebdeh, K., A. Al-Ostaz, I. Jasiuk, and M. Ostoja-Starzewski, “Fracture of Random Matrixinclusion Composites: Scale Effects and Statistics,” International Journal of Solids and Structures, 35:19, 2537-2566, 1998.
• Ostoja-Starzewski, M., “Random Field Models of Heterogeneous Materials,” International Journal of Solids and Structures, 35:19, 2429-2455, 1998.
• Ostoja-Starzewski, M., P. Y. Sheng, and I. Jasiuk, “Damage Patterns and Constitutive Response of Random Matrix-Inclusion Composites,” Engineering Fracture Mechanics, 58:5-6, 581-606, 1997.
• Ostoja-Starzewski, M., P. Y. Sheng, and K. Alzebdeh, “Spring Network Models in Elasticity and Fracture of Composites and Polycrystals,” Computational Materials Science, 7:1&2, 82-93, 1996.
• Grah, M., K. Alzebdeh, P. Y. Sheng, M. D. Vaudin, K. J. Bowman, and M. Ostoja-Starzewski, “Brittle Intergranular Failure in 2D Microstructures: Experiments and Computer Simulations,” Acta Materialia, 44:10, 4003-4018, 1996.
• Alzebdeh, K. and M. Ostoja-Starzewski, “Micromechanically Based Stochastic Finite Elements: Length Scales and Anisotropy,” Probabilistic Engineering Mechanics, Special Issue: Stochastic Structural Dynamics, 11, 205-214, 1996.
• Ostoja-Starzewski, M. and J. Schulte, “Bounding of Effective Thermal Conductivities of Multiscale Materials by Essential and Natural Boundary Conditions,” Physical Review B, 54, 278-285, July 1996.
• Ostoja-Starzewski, M., I. Jasiuk, W. Wang, and K. Alzebdeh, “Composites with Functionally Graded Interfaces: Meso-Continuum Concept and Effective Properties,” Acta Materialia, 44:5, 2057-2066, 1996.
• Ostoja-Starzewski, M. and H. Ilies, “The Cauchy and Characteristic Boundary Value Problems for Weakly Random Rigid-Perfectly Plastic Media,” International Journal of Solids and Structures, 33:8, 1119-1136, 1996.
• Ostoja-Starzewski, M. and J. D. Lee, “Damage Maps of Disordered Composites: a Spring Network Approach,” International Journal of Fracture, 75, R51-R57, 1996.
• Jasiuk, I. and M. Ostoja-Starzewski, “Planar Cosserat Elasticity of Materials with Holes and Intrusions,” invited paper, Applied Mechanics Reviews, Special Issue: Mechanics Pan-America 1995, L. A. Godoy, S. R. Idelsohn, P. A. A. Laura, and D. T. Mook, eds., 48:11, Part 2, S11-S18, 1995.
• Ostoja-Starzewski, M. and I. Jasiuk, “Stress Invariance in Planar Cosserat Elasticity,” Proceedings of the Royal Society, London A, Vol. 451, 453-470; Vol. 452, 1503, 1995.
• Ostoja-Starzewski, M., “Wavefront Propagation in a Class of Random Microstructures - II: Nonlinear Elastic Grains,” International Journal of Non-Linear Mechanics, 30, 771-781, 1995.
• Ostoja-Starzewski, M., K. Alzebdeh, and I. Jasiuk, “Linear Elasticity of Planar Delaunay Networks - III: Self-Consistent Approximations,” Acta Mechanica, 110, 57-72, 1995.
• Ostoja-Starzewski, M., “Transition of Acceleration Waves into Shock Waves in Random Media,” Applied Mechanics Reviews, Special Issue: Nonlinear Waves in Solids, J. L. Wegner and F. R. Norwood, eds., 48:1, Part 2, 300-308, 1995.
• Ostoja-Starzewski, M., P. Y. Sheng, and I. Jasiuk, “Influence of Random Geometry on Effective Properties and Damage Formation in 2-D Composites,” ASME Journal of Engineering Materials and Technology, 116, 384-391, 1994.
• Ostoja-Starzewski, M., “Micromechanics as a Basis of Continuum Random Fields,” Applied Mechanics Reviews, Special Issue: Micromechanics of Random Media, 47:1, Part 2, S221-S230, 1994.
• Alzebdeh, K. and M. Ostoja-Starzewski, “Micromechanically Based Stochastic Finite Elements,” Finite Elements in Analysis and Design, 15, 35-41, 1993.
• Ostoja-Starzewski, M., “Micromechanics as a Basis of Stochastic Finite Elements and Differences - an overview,” invited paper, Applied Mechanics Reviews, Special Issue: Mechanics Pan-America 1993, M. R. M. Crespo da Silva and C. E. N. Mazzilli, eds., 46:11, Part 2, S136-S147, 1993.
• Ostoja-Starzewski, M., “On the Critical Amplitudes of Acceleration Wave to Shock Wave Transition in White-Noise Random Media,” Journal of Applied Mathematics and Physics (ZAMP), 44, 865-879, 1993.
• Ostoja-Starzewski, M., “Micromechanics as a Basis of Random Elastic Continuum Approximations,” Probabilistic Engineering Mechanics, 8:2, 107-114, 1993.
• Ostoja-Starzewski, M., “Random Fields and Processes in Mechanics of Granular Materials,” Mechanics of Materials, Special Issue: Mechanics of Granular Materials, 16:1-2, 55-64, 1993.
• Ostoja-Starzewski, M. and J. M. Longuski, “Stochastic Hill’s Equations for the Study of Errant Rocket Burns in Orbit,” Celestial Mechanics and Dynamical Astronomy, 54, 295-303, 1992.
• Grah, M., K. J. Bowman, and M. Ostoja-Starzewski, “Fabrication of Two-Dimensional Microstructures in Fe-3.25%Si Sheet,” Scripta Metallurgica et Materialia, 26:1, 429-434, 1992.
• Ostoja-Starzewski, M., “Plastic Flow of Random Media: Micromechanics, Markov Property and Slip-Lines,” invited paper, Applied Mechanics Reviews, Special Issue: Material Instabilities, H. M. Zbib, T. G. Shawki and R. C. Batra, eds., 45:3, Part 2, S75-S82, 1992.
• Ostoja-Starzewski, M., “Transient Waves in a Class of Random Heterogeneous Media,” invited paper, Applied Mechanics Reviews, Special Issue: Mechanics Pan-America 1991, P. A. Kittl and D. T. Mook, eds., 44:10, Part 2, S199-S209, 1991.
• Ostoja-Starzewski, M., “Wavefront Propagation in a Class of Random Microstructures - I: Bilinear Elastic Grains,” International Journal of Non-Linear Mechanics, 26, 655-669, 1991.
• Ostoja-Starzewski, M., “A Generalization of Thermodynamic Orthogonality to Random Media,” Journal of Applied Mathematics and Physics (ZAMP), 41, 701-712, 1990.
• Ostoja-Starzewski, M. and C. Wang, “Linear Elasticity of Planar Delaunay Networks. II: Voigt and Reuss Bounds, and Modification for Centroids,” Acta Mechanica, 84, 47-61, 1990.
• Ostoja-Starzewski, M., “Bounds on Constitutive Response for a Class of Random Material Microstructures,” Computers and Structures, 37, 163-167, 1990; also in Computational Technology for Flight Vehicles, A. K. Noor and S. L. Vennen, eds., Pergamon Press, 1990.
• Ostoja-Starzewski, M., “Micromechanics Model of Ice Fields - II: Monte Carlo Simulation,” Pure and Applied Geophysics, 133:2, 229-249, 1990.
• Ostoja-Starzewski, M. and R. G. Jessup, “Micromechanics Model of Ice Fields - I: Microscale Constitutive Laws,” Pure and Applied Geophysics, 132:4, 781-802, 1990.
• Ostoja-Starzewski, M., “Damage in a Random Microstructure: Size Effects, Fractals, and Entropy Maximization,” invited paper, Applied Mechanics Reviews, Special Issue: Mechanics Pan-America 1989, C. R. Steele, A. W. Leissa and M. R. M. Crespo da Silva, eds., 42:11, Part 2, S202-S212, 1989.
• Ostoja-Starzewski, M. and C. Wang, “Linear Elasticity of Planar Delaunay Networks: Random Field Characterization of Effective Moduli,” Acta Mechanica, 80, 61-80, 1989.
• Ostoja-Starzewski, M., “Mechanics of Damage in a Random Granular Microstructure: Percolation of Inelastic Phases,” International Journal of Engineering Science, Letters Applied Engineering Science, 27:3, 315-326, 1989.
• Ostoja-Starzewski, M., “Wavefront Propagation in Discrete Random Media via Stochastic Huygens’ Minor Principle," Journal of the Franklin Institute, 326:2, 281-293, 1989.
• Ostoja-Starzewski, M. and M. Skibniewski, “A Master-Slave Manipulator for Excavation and Construction Tasks,” Intl. J. Robotics and Autonomous Systems, 4, 333-337, 1988/89.
• Ostoja-Starzewski, M., “Graph Approach to the Constitutive Modelling of Heterogeneous Solids,” Mechanics Research Communications, 14:4, 225-262, 1987.
• Ostoja-Starzewski, M., “Propagation of Rayleigh, Scholte and Stoneley Waves Along Random Boundaries,” Probabilistic Engineering Mechanics, 2:2, 64-73, 1987.
• Ostoja-Starzewski, M., “Rayleigh Wave Scattering by a Wedge: A Boundary Method Approach,” Mechanics Research Communications, 13:1, 53-58, 1986.
• Axelrad, D. R. and M. Ostoja-Starzewski, “Probabilistic Approach to Wave Propagation in Structured Solids,” International Journal of Engineering Science, 22:8-10, 1123-1133, 1984.
• Païdoussis, M. P. and M. Ostoja-Starzewski, “Dynamics of a Flexible Cylinder in Subsonic Axial Flow,” AIAA Journal, 19:11, 1467-1475, 1981.

Journal Editorships

• Computer Methods in Applied Mechanics and Engineering (2022-)
• Modelling (2020-)
• Vietnam Journal of Mechanics (2020-)
• Encyclopedia of Continuum Mechanics, Section Editor: Mechanics of Random and Fractal Media, Springer, (2017-2020)
• Applied Sciences, Editorial Board, 2017-
• Journal of Applied and Computational Mechanics, Editorial Board, 2017-
• Fractal and Fractional, Editorial Board, 2017-
• Studia Geotechnica et Mechanica, 2015-
• Journal of Applied Mathematics (Hindawi), 2011-2016
• International Journal of Aeronautical and Space Sciences (IJASS), Korea Advanced Institute of Science & Technology (KAIST), March 2011-
• Co-Editor-in-Chief of a Book Series, Modern Mechanics and Mathematics, Chapman & Hall/CRC/Taylor & Francis, 2007-
• Actual Problems of Aviation and Aerospace Systems, Editorial Board, 2006-2014
• Archive of Applied Mechanics, Editorial Board, 2008-2016
• International Journal of Damage Mechanics, Editorial Board, 2006-
• Probabilistic Engineering Mechanics, Editorial Board, 2003-
• ASME Journal of Applied Mechanics, Associate Editor, 2006-2012
• Mechanics Research Communications, Editorial Board, 2020- (Associate Editor, 2015-2020)
• Mathematics and Mechanics of Complex Systems, Chair Managing Editor, 2012-
• Journal of Thermal Stresses, Editor-in-Chief, 2018- (Editorial Board: 2003-)
• Acta Mechanica, Editor, 2017-2024 (Editorial Board: 2009-)

Teaching Honors

• Outstanding Faculty Advisor in Senior Design (ME 470): Fall 2022
• UIUC Incomplete List of Teachers ranked as Excellent by their Students, Fall 2006

Research Honors

• Worcester Reed Warner Medal (ASME), 2018
• Timoshenko Distinguished Visitor, Division of Mechanics and Computation, Stanford University, 2012
• Academia Europaea, Foreign Member, 2024
• Rothschild Distinguished Visiting Fellow, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, 2023
• European Academy of Sciences and Arts, Member, 2022
• Fellow, Society of Engineering Science (SES), 2016
• Fellow, American Academy of Mechanics, 2007

Public Service Honors

• Associate Fellow, AIAA, 2005
• Fellow, ASME, 2001

Other Honors

• Listed in The Roll of Honour of the Polish Science, ISBN 83-916278-0-2, 2002