Directory

Martin Starzewski's directory photo.

Martin Starzewski

(he/him/his)

Professor

Primary Affiliation

Computational Imaging

Affiliations

Status Affiliate Faculty

Home Department of Mechanical Science and Engineering

Phone 265-0900

Email martinos@illinois.edu

Address

  • Biography

    Martin Ostoja-Starzewski completed his undergraduate studies (1977) at the Cracow University of Technology, Poland, followed by master's (1980) and Ph.D. (1983, Dean's Honour List) degrees at McGill University, all in mechanical engineering. 

    His research interests and expertise are in engineering science, primarily in stochastic mechanics, random and fractal media, advanced continuum theories, wave motion, non-equilibrium thermodynamics, and biomedical engineeering.  

    He (co-)authored over 230 journal papers and four books: "Microstructural Randomness and Scaling in Mechanics of Materials," CRC Press (2008); "Thermoelasticity with Finite Wave Speeds," Oxford University Press (2009); "Tensor-Valued Random Fields for Continuum Physics," Cambridge University Press (2019); and "Random Fields of Piezoelectricity and Piezomagnetism," Springer (2020).

    He serves as editor of Acta Mechanica, editor-in-chief of the Journal of Thermal Stresses, and chair managing editor of Mathematics and Mechanics of Complex Systems.  He is/was on the editorial boards of many other journals, including ASME Journal of Applied Mechanics, Computer Methods in Applied Mechanics and Engineering, Fractal & Fractional, International Journal of Damage Mechanics, Mechanics Research Communications, and Probabilistic Engineering Mechanics.  He also (co-)edited 16 books/journal special issues and (co-)organized many meetings.

    From 2014 to 2021, he served as a site co-director of the NSF Industry/University Cooperative Research Center for Novel High Voltage/Temperature Materials and Structures.

  • Honors
    • Fellow of ASME (2001)
    • Canada Research Chair in Mechanics of Materials (Tier I), 2001-2005
    • Fellow of World Innovation Foundation (2001)
    • Listed in "The Roll of Honour of the Polish Science," 2001
    • Member of ISIMM (The Intl. Society for the Interaction of Mechanics and Mathematics) 2004; on Executive Committee (2013-)
    • Associate Fellow of AIAA (2005)
    • Fellow of American Academy of Mechanics (2007)
    • The paper "Material spatial randomness: From statistical to representative volume element" (Probabilistic Eng. Mech. 21[2]: 112-32, 2006) was selected by Essential Science Indica-torsSM of Thomson Reuters as one of the most-cited papers in New Research Areas of En-gineering; interviewed Dec. 2010.
    • Honorary Fellow of Australian Institute of High Energetic Materials (2011)
    • Timoshenko Distinguished Visitor, Division of Mechanics and Computation, Stanford University (2012)
    • Interviewed by Research Media-International Innovation (2013)
    • Associate of Center for Advanced Study at UIUC (2013-14)  
    • IACAT/NCSA Fellow (2013-14)
    • Fellow of Society of Engineering Society (2016)
    • Worcester Reed Warner Medal of ASME (2018)
    • Member of European Academy of Sciences and Arts (2022)
  • Research

    Martin's work straddles mechanics and transport phenomena in random/multiscale/fractal media, stochastic wave propagation, continuum mechanics and thermodynamics, and computational mechanics.

    His research at the Beckman Institute is focused on MRI/MRE-based studies of head trauma. This involves challenges in image analysis, rheology of brain tissues, mechanics without separation of scales, wavefront evolutions, and microstructure-based finite elements. Ongoing research includes electrosurgery, apparent violations of the second law of thermodynamics, and tensor random fields. Related topics in other composite materials involved polymers, bone, polycrystals, granular and porous media, as well as helices.

  • 2022

    • A. Amiri-Hezaveh and M. Ostoja-Starzewski, “A convolutional iterative solver for nonlinear dynamical systems,” Applied Mathematics Letters 30, 2022.
    • J. Li and M. Ostoja-Starzewski, “Micropolar mechanics of product fractal media,” Proceedings of the Royal Society A, online, 2022.
    • Y.S. Jetti and M. Ostoja-Starzewski, “Equipartition of energy in a helix,” Mathematics and Mechanics of Solids, online, 2022.

    2021

    • A. Amiri-Hezaveh, A. Masud and M. Ostoja-Starzewski, “Convolution finite element method: An alternative approach for time integration and time-marching algorithms,” Tomasz Lodygowski SI of Computational Mechanics 68, 667–696, 2021.
    • J. Ran, M. Ostoja-Starzewski, Y. Povstenko, “Mach fronts in random media with fractal and Hurst effects,” Fractal and Fractional, Special Issue “Fractal Media and Fractional Viscoelasticity,” 5(4), 229, 2021.
    • M. Ostoja-Starzewski and R. Quintanilla, “Spatial behavior of solutions of the Moore-Gibson-Thompson equation,” Journal of Mathematical Fluid Mechanics 23: 105, 2021.
    • M. Ostoja-Starzewski, “Averaging of turbulent micropolar media: Turbulent couple-stress, heat flux, and energy,” ZAMP 72:106, 2021.
    • M. Ostoja-Starzewski, “Virial theorems and virial stresses of micropolar media,” Special Issue “Professor Eringen's Centennial Anniversary,” Journal of Micromechanics and Molecular Physics 6(2), 1-4, 2022. arXiv: 2112.09063
    • R. Laudani and M. Ostoja-Starzewski, “Spontaneous negative entropy increments in granular flows,” in McMeeking Special Issue of ASME Journal of Applied Mechanics (Eds. N. Cohen, A. Ruimi) 88(3), 031010 (7 pages), 2021.
    • R. Laudani, D. Zhang, T. Faouzi, E. Porcu, M. Ostoja-Starzewski and L.P. Chamorro, “On streamwise velocity spectra model accounting for the fractal and long-memory effects,” Physics of Fluids 33, 035116, 2021.
    • X. Zhang, A. Malyarenko, E. Porcu and M. Ostoja-Starzewski, “Elastodynamic problem on tensor random fields with fractal and Hurst effects,” Meccanica, online, 2021.
    • Y. Povstenko and M. Ostoja-Starzewski, “Doppler effect described by the solutions of the Cattaneo telegraph equation,” Acta Mechanica 232, 725-740, 2021.
    • Y. Povstenko and M. Ostoja-Starzewski, “Fractional telegraph equation under moving time-harmonic impact,” International Journal of Heat and Mass Transfer 182, 121958, 2021.
    • Y.S. Jetti and M. Ostoja-Starzewski, “Scaling in anti-plane elasticity on random shear modulus fields with fractal and Hurst effects,” Fractal and Fractional, Special Issue “2021 Feature Papers by Fractal & Fractional’s Editorial Board Members,” 5(4), 255, 2021.
    • Y.S. Jetti and M. Ostoja-Starzewski, “Scaling in anti-plane elasticity on random shear modulus fields with fractal and Hurst effects,” Fractal and Fractional, Special Issue “2021 Feature Papers by Fractal & Fractional’s Editorial Board Members,” 5(4), 255, 2021.

    2020

    • A. Madhukar and M. Ostoja-Starzewski, “Modelling and Simulation of Head Trauma Utilizing White Matter Properties from Magnetic Resonance Elastography,” Modelling 1, 225-241, 2020. Supplementary Material: simulation movie.
    • J. Li and M. Ostoja-Starzewski, “Thermo-poromechanics of fractal porous media,” in special issue "Advanced materials modelling via fractional calculus: challenges and perspectives," Philosophical Transactions of the Royal Society A 378(2172), 20190288, 2020.
    • M. Ostoja-Starzewski and R. Laudani, “Violations of the Clausius-Duhem inequality in Couette flows of granular media,” Proceedings of the Royal Society A 476: 20200207, 2020.
    • P. Karimi, A. Malyarenko, M. Ostoja-Starzewski and X. Zhang, “RVE problem, random fields, and stochastic mechanics,” International Journal of Engineering Science 146, 2020.
    • X. Zhang and M. Ostoja-Starzewski, “Impact force and moment problems on random mass density fields with fractal and Hurst effects,” in special issue "Advanced materials modelling via fractional calculus: challenges and perspectives," Philosophical Transactions of the Royal Society A 378(2172), 20190591, 2020.

    2019

    • A. Amiri-Hezaveh, P. Karimi and M. Ostoja-Starzewski, “Stress field formulation of linear electro-magneto-elastic materials,” Mathematics and Mechanics of Solids 24(12), 3806-3822, 2019.
    • A. Madhukar and M. Ostoja-Starzewski, “Finite element methods in head impact simulations: A review,” Annals of Biomedical Engineering, 47(9), 1832–1854, 2019.
    • 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.
    • A. Malyarenko and M. Ostoja-Starzewski, “Towards stochastic continuum damage mechanics,” SI in honor of Dominique Jeulin - International Journal of Solids and Structures 184, 202-210, 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.
    • 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.
    • D. Zhang and M. Ostoja-Starzewski, “Thermoelastic waves in helical strands with Maxwell-Cattaneo heat conduction,” Theoretical and Applied Mechanics Letters 9(5), 302-307, 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, 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.
    • 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.
    • R. Laudani and M. Ostoja-Starzewski, “Fracture of brittle beams with fractal and Hurst effects,” International Journal of Solids and Structures 191-192, 243-253, 2020. A. Amiri-Hezaveh, P. Karimi and M. Ostoja-Starzewski, “IBVP for electro-magneto-elastic materials: variational approach,” Mathematics and Mechanics of Complex Systems (MEMOCS) 8(1), 47-67, 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.

    2018

    • 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 97(11), 1338-1357, 2017. Editor’s Choice
    • 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.
    • 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. 10.1063/1.5046105
    • J. Zhang and M. Ostoja-Starzewski, “Does a fractal microstructure require a fractional viscoelastic model?” Fractal and Fractional 2(1), 12, 2018. DOI: 10.3390/fractalfract2010012
    • 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”) 229(2), 677-695, 2018.
    • 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.
    • M. Ostoja-Starzewski, “Ignaczak equation of elastodynamics,” Mathematics and Mechanics of Solids 24(11), 3674-3713, 2018.
    • S. Kale, P. Karimi, F.A. Sabet, I. Jasiuk and M. Ostoja-Starzewski, “Tunneling-percolation model of multicomponent nanocomposites,” Journal of Applied Physics 123, 085104, 2018. Cover.

    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 33(12), online, 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. [“Saturn rings: fractal structure and random field model,” 2016 arXiv preprint]
    • B.V. Raghavan and M. Ostoja-Starzewski, “Shear-thinning characteristics of molecular fluids undergoing planar Couette flow,” Physics of Fluids 29, 023103-1-7, 2017.
    • D. Zhang, K.A. Dahmen and M. Ostoja-Starzewski, “Scaling of slip avalanches in sheared amorphous materials based on large-scale atomistic simulations,” Physical Review E 95, 032902-1-12, 2017.
    • 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.
    • V.V. Nishawala and M. Ostoja-Starzewski, “Acceleration waves on random fields with fractal and Hurst effects,” Wave Motion 74, 134-150, 2017.

    2016

    • A. Malyarenko and M. Ostoja-Starzewski, “A random field formulation of Hooke's law in all elasticity classes,” Journal of Elasticity, 2016. arXiv:1602.09066
    • A. Malyarenko 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. DOI 10.1007/s00033-016-0657-8
    • D. Zhang 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. DOI:10.1115/1.4032023
    • H. Joumaa and M. Ostoja-Starzewski, “On the dilatational wave motion in anisotropic fractal solids,” Mathematics and Computers in Simulation 127, 114-130, 2016. DOI: 10.1016/j.matcom.2013.03.012
    • J. Zhang and M. Ostoja-Starzewski, “Frequency-dependent scaling from mesoscale to macroscale in viscoelastic random composites,” Proceedings of the Royal Society A 472, 20150801, 2016. DOI: 10.1098/rspa.2015.0801
    • M. Ostoja-Starzewski and B. Raghavan, “Continuum mechanics versus violations of the second law of thermodynamics,” (invited) J. Thermal Stresses 39:6, 734-749, 2016. http://www.tandfonline.com/doi/full/10.1080/01495739.2016.1169140
    • M. Ostoja-Starzewski, “Second law violations, continuum mechanics, and permeability,” Continuum Mechanics and Thermodynamics 28, 489-501, 2016. DOI: 10.1007/s00161-015-0451-4
    • P. Karimi, 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. Doi: 10.1063/1.4964691
    • P.N. Demmie 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. DOI 10.1007/s00419-015-1095-3
    • S. Kale and M. Ostoja-Starzewski, “Representing stochastic damage evolution as a jump Markov process,” International Journal of Damage Mechanics, 2016. DOI: 10.1177/1056789516650249
    • S. Kale, 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.
    • V. Nishawala and M. Ostoja-Starzewski, “Peristatic solutions for finite one and two dimensional systems,” Mathematics and Mechanics of Solids, in press, 2016. DOI: 10.1177/1081286516641180
    • V. Nishawala, 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, in press, 2016.
    • V. Nishawala, 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. 10.1016/j.wavemoti.2015.08.005

    2015

    • B. Raghavan, S.I. Ranganathan and M. Ostoja-Starzewski, “Electrical properties of random checkerboards at finite scales,” AIP Advances 5, 017131-1-12, 2015.
    • J. Zhang and M. Ostoja-Starzewski, “Mesoscale bounds in viscoelasticity of random composites,” Mechanics Research Communications 68, 98-104, 2015. doi:10.1016/j.mechrescom.2015.05.005
    • L. Shen, 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.
    • L. Shen, M. Ostoja-Starzewski and E. Porcu, “Harmonic oscillator driven by random processes having fractal and Hurst effects,” Acta Mechanica 226(11), 3653-3672, 2015. DOI 10.1007/s00707-015-1385-4
    • L. Shen, M. Ostoja-Starzewski and E. Porcu, “Responses of first-order dynamical systems to Matérn, Cauchy, or Dagum excitations,” Mathematics and Mechanics of Complex Systems (MEMOCS) 3(1), 27-41, 2015. dx.doi.org/10.2140/memocs.2015.3.27
    • Li, J.; Ostoja-Starzewski, M., Edges of Saturn's Rings Are Fractal. Springerplus 2015, 4, DOI:ARTN 158 10.1186/s40064-015-0926-6.
    • M. Ostoja-Starzewski, “Pirouette launch and energy storage system,” Journal of the British Interplanetary Society 68, 406-407, 2015.
    • M. Ostoja-Starzewski, L. Costa and S.I. Ranganathan, “Scale-dependent homogenization of random hyperbolic thermoelastic solids,” Journal of Elasticity 118, 243-250, 2015. DOI 10.1007/s10659-014-9483-4
    • M. Ostoja-Starzewski, L. Shen and A. Malyarenko, “Tensor random fields in conductivity and classical or microcontinuum theories,” Mathematics and Mechanics of Solids 20(4), 418-432, 2015.
    • Ostoja-Starzewski, M.; Zampoli, V., Special Issue: Bruno Boley 90th Anniversary Issue Introduction. Mechanics Research Communications 2015, 68, 1-1, DOI:10.1016/j.mechrescom.2015.06.006.
    • S. Kale, 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. http://dx.doi.org/10.1063/1.4914128
    • S. Kale, F. Sabet, I. Jasiuk, M. Ostoja-Starzewski, “Tunneling-percolation behavior of polydisperse prolate and oblate ellipsoids,” Journal of Applied Physics 118(15), 154306, 2015. DOI: 10.1063/1.4933100 cover
    • T. Bliss, J. Castro and M. Ostoja-Starzewski, “A three-dimensional model of fine particle retention during percolation through a fiber mat,” TAPPI Journal 14(8), 546-554, 2015.
    • Trovalusci, P.; Ostoja-Starzewski, M.; De Bellis, M. L.; Murrali, A., Scale-Dependent Homogenization of Random Composites as Micropolar Continua. European Journal of Mechanics a-Solids 2015, 49, 396-407, DOI:10.1016/j.euromechsol.2014.08.010.

    2014

    • A. Zubelewicz, 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,” International Journal of Rock Mechanics & Mining Sciences 72, 277-282, 2014. DOI: 10.1016/j.ijrmms.2014.09.015
    • Joumaa, H.; Ostoja-Starzewski, M.; Demmie, P., Elastodynamics in Micropolar Fractal Solids. Mathematics and Mechanics of Solids 2014, 19, (2), 117-134, DOI: 10.1177/1081286512454557.
    • Kale, S.; Ostoja-Starzewski, M., Elastic-Plastic-Brittle Transitions and Avalanches in Disordered Media. Physical Review Letters 2014, 112, (4), 1-5, DOI: 10.1103/PhysRevLett.112.045503.
    • Malyarenko, A.; Ostoja-Starzewski, M., Statistically Isotropic Tensor Random Fields: Correlation Structures. Mathematics and Mechanics of Complex Systems (MEMOCS) 2014, 2, (2), 209-231.
    • Ostoja-Starzewski, M., Viscothermoelasticity with Finite Wave Speeds: Thermomechanical Laws. Acta Mechanica 2014, 225, (4-5), 1277-1285, DOI: 10.1007/s00707-013-1075-z.
    • Ostoja-Starzewski, M.; Li, J.; Joumaa, H.; Demmie, P. N., From Fractal Media to Continuum Mechanics. Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik 2014, 94, (5), 373-401, DOI: 10.1002/zamm.201200164.
    • Ostoja-Starzewski, M.; Malyarenko, A., Continuum Mechanics Beyond the Second Law of Thermodynamics. Proceedings of the Royal Society A 2014 20140531, DOI:10.1098/rspa.2014.0531.
    • S. Kale and M. Ostoja-Starzewski, “Morphological study of elastic-plastic-brittle transitions in disordered media,” Physical Review E 90, 042405-1-15, 2014. DOI: 10.1103/PhysRevE.90.042405
    • Trovalusci, P.; de Bellis, M. L.; Ostoja-Starzewski, M.; Muralli, A., Particulate Random Composites Homogenized as Micropolar Materials. Meccanica 2014, 49, 2719-2727, DOI:10.1007/s11012-014-0031-x.
    • Trovalusci, P.; Ostoja-Starzewski, M.; de Bellis, M. L.; Muralli, A., Scale-Dependent Homogenization of Random Composites as Micropolar Continua. European Journal of Mechanics/A: Solids 2014, 49, 396-407, DOI:10.1016/j.euromechsol.2014.08.010.
    • Zubelewicz, A.; Rougier, E.; Ostoja-Starzewski, M.; Knight, E. E.; Bradley, C.; Viswanathan, H. S., A Mechanism Based Model for Dynamic Behavior and Fracture of Geomaterials. International Journal of Rock Mechanics & Mining Sciences 2014, 72, 277-282, DOI:10.1016/j.ijrmms.2014.09.015.

    2013

    • Bridge, J.; Lew, A.; Ostoja-Starzewski, M., Pan American Congress of Applied Mechanics (Pacam Xii). Journal of Applied Mechanics-Transactions of the ASME 2013, 80, (5).
    • Dalaq, A. S.; Ranganathan, S. I.; Ostoja-Starzewski, M., Scaling Function in Conductivity of Planar Random Checkerboards. Computational Materials Science 2013, 79, 252-261, DOI: 10.1016/j.commatsci.2013.05.006.
    • Joumaa, H.; Ostoja-Starzewski, M., Acoustic-Elastodynamic Interaction in Isotropic Fractal Media. European Physical Journal-Special Topics 2013, 222, (8), 1951-1960, DOI: 10.1140/epjst/e2013-01976-x.
    • Li, J.; Ostoja-Starzewski, M., Comment on "Hydrodynamics of Fractal Continuum Flow" and "Map of Fluid Flow in Fractal Porous Medium into Fractal Continuum Flow". Physical Review E 2013, 88, (5), DOI: 10.1103/PhysRevE.88.057001.
    • Li, J.; Ostoja-Starzewski, M., Fractal Shear Bands at Elastic-Plastic Transitions in Random Mohr-Coulomb Materials. ASCE Journal of Engineering Mechanics 2013, 04014072, 1-12.
    • Ostoja-Starzewski, M., Electromagnetism on Anisotropic Fractal Media. Zeitschrift Fur Angewandte Mathematik Und Physik 2013, 64, (2), 381-390.
    • Ostoja-Starzewski, M., From Random Fields to Classical or Generalized Continuum Models, In Iutam Symposium on Multiscale Problems in Stochastic Mechanics. Proppe, C., Bourinet, J. M., Eds.; Elsevier Science Bv, Amsterdam, 2013; Vol. 6, 31-34.
    • Ostoja-Starzewski, M.; Demmie, P. N.; Zubelewicz, A., On Thermodynamic Restrictions in Peridynamics. Journal of Applied Mechanics-Transactions of the ASME 2013, 80, (1).
    • Sena, M. P.; Ostoja-Starzewski, M.; Costa, L., Stiffness Tensor Random Fields through Upscaling of Planar Random Materials. Probabilistic Engineering Mechanics 2013, 34, 131-156, DOI: 10.1016/j.probengmech.2013.08.008.
    • Zubelewicz, A.; Thompson, D. G.; Ostoja-Starzewski, M.; Ionita, A.; Shunk, D.; Lewis, M. W.; Lawson, J. C.; Kale, S.; Koric, S., Fracture Model for Cemented Aggregates. AIP Advances 2013, 3, (1).

    2012

    • Chen, Y.; Sutton, B.; Conway, C.; Broglio, S. P.; Ostoja-Starzewski, M., Brain Deformation under Mild Impact: Magnetic Resonance Imaging-Based Assessment and Finite Element Study. International Journal of Numerical Analysis and Modeling Series B 2012, 3, (1), 20-35.
    • Joumaa, H.; Ostoja-Starzewski, M.; Demmie, P. N., Elastodynamics in Micropolar Fractal Solids. Mathematics and Mechanics of Solids 2012, DOI: 10.1177/1081286512454557.
    • Li, J.; Saharan, A.; Koric, S.; Ostoja-Starzewski, M., Elastic-Plastic Transition in Three-Dimensional Random Materials: Massively Parallel Simulations, Fractal Morphogenesis and Scaling Functions. Philosophical Magazine 2012, 92, (22), 2733-2758.
    • Ostoja-Starzewski, M.; Costa, L., Shock Waves in Random Viscoelastic Media. Acta Mechanica 2012, 223, (8), 1777-1788.
    • Porcu, E.; Gregori, P.; Mateu, J.; Ostoja-Starzewski, M., New Classes of Spectral Densities for Lattice Processes and Random Fields Built from Simple Univariate Margins. Stochastic Environmental Research and Risk Assessment 2012, 26, (4), 479-490.

    2011

    • Demmie, P. N.; Ostoja-Starzewski, M., Waves in fractal media. Journal of Elasticity, D.E. Carlson Special Issue 2011, DOI 10.1007/s10659-011-9333-6.
    • Joumaa, H.; Ostoja-Starzewski, M., On the wafe propagation in isotropic fractal media. Journal of Applied Mathematics and Physics 2011, DOI: 10.1007/s00033-011-0135.
    • Joumaa, H.; Ostoja-Starzewski, M., Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Proceedings of Royal Society A 2011, doi: 101098/rspa2010.0660.
    • Joumaa, H.; Ostoja-Starzewski, M., On the Wave Propagation in Isotropic Fractal Media. Zeitschrift Fur Angewandte Mathematik Und Physik 2011, 62, (6), 1117-1129.
    • Joumaa, H.; Ostoja-Starzewski, M., Stress and Couple-Stress Invariance in Non-Centrosymmetric Micropolar Planar Elasticity. Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences 2011, 467, (2134), 2896-2911.
    • Khayat, R. E.; Ostoja-Starzewski, M., On the Objective Rate of Heat and Stress Fluxes. Connection with Micro/Nano-Scale Heat Convection. Discrete and Continuous Dynamical Systems-Series B 2011, 15, (4), 991-998.
    • Li, J.; Ostoja-Starzewski, M., Micropolar continuum mechanics of fractal media. International Journal of Engineering Science. 2011,  doi: 10.1016/jijengsci.2011.03.010.
    • Li, J.; Ostoja-Starzewski, M., Fractal Solids, Product Measures and Fractional Wave Equations. Formamente 2011, VI, 93-113.
    • Ostoja-Starzewski, M., Dissipation Function in Hyperbolic Thermoelasticity. Journal of Thermal Stresses 2011, 34, (1), 68-74.
    • Ostoja-Starzewski, M., Macrohomogeneity condition in dynamics of micropolar media. Archive of Applied Mechanics 2011, 81, (7), 899-906.
    • Ostoja-Starzewski, M., Stochastic Finite Elements: Where Is the Physics? Theoretical and Applied Mechanics 2011, 38, (4), 379-396.
    • Ostoja-Starzewski, M.; Zubelewicz, A., Powerless Fluxes and Forces, and Change of Scale in Irreversible Thermodynamics. Journal of Physics a-Mathematical and Theoretical 2011, 44, DOI: 10.1088/1751-8113/44/33/335002.
    • Ranganathan, S. I.; Ostoja-Starzewski, M.; Ferrari, M., Quantifying the Anisotropy in Biological Materials. Journal of Applied Mechanics-Transactions of the ASME 2011, 78, DOI: 10.1115/1.4004553.
    • Trovalusci, P.; Ostoja-Starzewski, M., Multiscale Mechanical Modeling of Complex Materials and Engineering Applications 2 Preface. International Journal for Multiscale Computational Engineering 2011, 9, (5), VII-IX.

    2010

    • Li, J.; Ostoja-Starzewski, M., Fractal Pattern Formation at Elastic-Plastic Transition in Heterogeneous Materials. Journal of Applied Mechanics-Transactions of the ASME 2010, 77, (2).
    • Li, J.; Ostoja-Starzewski, M., Fractal solids, product measures and continuum mechanics. In Mechanics of Generalized Continua: One Hundred Years after the Cosserats, Springer: 2010; Vol. Chapter 33 pp 315-323.
    • Li, J.; Ostoja-Starzewski, M., Fractals in elastic-hardening plastic materials. Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 2010, 466, (2114), 603-621.
    • Ostoja-Starzewski, M., Towards Poroelasticity of Fractal Materials. In K. Wilmanski 70th Birthday Book "Continuous Media with Microstructure", Springer-Verlag: 2010; pp 153-160.
    • Wang, G.; Cheng, A. H.-D.; Ostoja-Starzewski, M.; Al-Ostaz, A.; Radziszewski, P., Hybrid lattice particle modeling approach for polymeric materials subject to high strain rate loads. Polymers 2010, 2, 3-30, 10.3390/polym2010003.
    • Chen, Y.; Ostoja-Starzewski, M., MRI-based finite element modeling of head trauma: spherically focusing shear waves. Acta Mechanica 2010, 213, (1-2), 155-167.

    2009

    • Ignaczak, J.; Ostoja-Starzewski, M., Thermoelasticity with Finite Wave Speeds. Oxford University Press: 2009.
    • Li, J.; Ostoja-Starzewski, M., Fractal solids, product measures and fractional wave equations. Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences 2009, 465, (2108), 2521-2536.
    • Ostoja-Starzewski, M., A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. International Journal of Engineering Science 2009, 47, (7-8), 807-810.
    • Ostoja-Starzewski, M., Continuum Mechanics Models of Fractal Porous Media: Integral Relations and Extremum Principles. Journal of Mechanics of Materials and Structures 2009, 4, (5), 901-912.
    • Ostoja-Starzewski, M., Extremum and variational principles for elastic and inelastic media with fractal geometries. Acta Mechanica 2009, 205, (1-4), 161-170.
    • Ostoja-Starzewski, M.; Li, J., Fractal materials, beams, and fracture mechanics. Zeitschrift Fur Angewandte Mathematik Und Physik 2009, 60, (6), 1194-1205.
    • Ostoja-Starzewski, M.; Nesterenko, V. F., Dedication. Acta Mechanica 2009, 205, (1-4), 1-1.
    • Ranganathan, S. I.; Ostoja-Starzewski, M., Towards scaling laws in random polycrystals. International Journal of Engineering Science 2009, 47, (11-12), 1322-1330.

    2008

    • Hill, R. J.; Ostoja-Starzewski, M., Electric-field-induced displacement of a charged spherical colloid embedded in an elastic Brinkman medium. Physical Review E 2008, 77, (1).
    • Jeulin, D.; Li, W.; Ostoja-Starzewski, M., On a geodesic property of strain field patterns in elastoplastic composites. Proceedings of the Royal Society , London A 2008, 464, 1217-1227.
    • Ostoja-Starzewski, M., Microstructural Randomness and Scaling in Mechanics of Materials. Chapman & Hall/CRC Modern Mechanics and Mathematics Series 2008.
    • Ostoja-Starzewski, M.; Shahsavari, F., Response of a helix made of a fractional viscoelastic material. Journal of Applied Mechanics-Transactions of the Asme 2008, 75, (1).
    • Ostoja-Starzewski, M.; Shahsavari, H., On a helix made of a fractional viscoelastic material. ASME Journal of Applied Mechanics 2008, 75, 011012-1-4.

    2007

    • Khisaeva, Z. F.; Ostoja-Starzewski, M., Scale effects in infinitesimal and finite thermoelasticity of random composites. Journal of Thermal Stresses 2007, 30, (6), 587-603.
    • Lerner, H.; Du, X.; Costopoulos, A.; Ostoja-Starzewski, M., Lithic raw material physical properties and use wear accrual. Journal of Archaeological Sciences 2007, 34, (5), 711-722.
    • Ostoja-Starzewski, M., Towards thermoelasticity of fractal media. Journal of Thermal Stresses 2007, 30, (9-10), 889-896.
    • Ostoja-Starzewski, M., Towards thermomechanics of fractal media. Zeitschrift Fur Angewandte Mathematik Und Physik 2007, 58, (6), 1085-1096.
    • Ostoja-Starzewski, M.; Du, X.; Khisaeva, Z. F.; Li, W., Comparisons of the size of the representative volume element in elastic, plastic, thermoelastic, and permeable random microstructures. International Journal for Multiscale Computational Engineering 2007, 5, (2), 73-82.
    • Ostoja-Starzewski, M.; Du, X.; Khisaeva, Z.; Li, W., On the size of representative volume element in elastic, plastic, thermoelastic, and permeable random microstructures. Materials Science Forum 2007, 539-543, 201-206.

    2006

    • Du; Ostoja-Starzewski, M., On the size of representative volume element for Darcy law in random media. In Proceedings of the Royal Society, London A 462, 2949-2963, 2006.
    • Khisaeva, Z.F.; Ostoja-Starzewski, M., On the size of RVE in finite elasticity of random composites. J. Elasticity 2006, 85, 153-173.
    • Ostoja-Starzewski, M., Material spatial randomness - from statistical to representative volume element. Probabilistic Engineering Mechanics 2006, 21, (2), 112-132.
    • Ostoja-Starzewski, M., Towards thermomechanics of fractal media. J. Appl. Math. Phys. (ZAMP) 2006, 58, (6), 1085-1096.
    • Ostoja-Starzewski, M.; Trebicki, J. Stochastic dynamics of acceleration wavefronts in random media. Mechanics of Materials 2006, 38, 840-848.
    • Pèrez-Vivar, J.M., Bravo-Castillero, J., Rodriguez-Ramos, R.; Ostoja-Starzewski, M., Homogenization of a micro-periodic helix with parabolic or hyperbolic heat conduction. Journal of Thermal Stresses 2006, 29, 467-483.