Edit Profile (opens in new tab) Ostoja-Starzewski, Martin Compute Distance To: Compute Author ID: ostoja-starzewski.martin Published as: Ostoja-Starzewski, Martin; Ostoja-Starzewski, M. Homepage: http://martinos.mechanical.illinois.edu/ External Links: ResearchGate Documents Indexed: 126 Publications since 1981, including 5 Books 4 Contributions as Editor Co-Authors: 52 Co-Authors with 85 Joint Publications 1,396 Co-Co-Authors all top 5 Co-Authors 38 single-authored 12 Malyarenko, Anatoliy A. 9 Jasiuk, Iwona 7 Li, Jun 6 Amiri-Hezaveh, Amirhossein 5 Joumaa, Hady 5 Karimi, Pouyan 5 Nishawala, Vinesh V. 4 Alzebdeh, Khalid I. 4 Demmie, Paul N. 4 Porcu, Emilio 4 Ranganathan, Shivakumar I. 4 Shen, Lihua 3 Castro, Jaime 2 Boccara, Stéphane D. 2 Bouyge, Frederic 2 Bravo-Castillero, Julián 2 Du, Xiangdong 2 Jeulin, Dominique 2 Khayat, Roger E. 2 Khisaeva, Z. F. 2 Leamy, Michael J. 2 Mishura, Yuliya Stepanivna 2 Olenko, Andriy Yakovych 2 Raghavan, Bharath Venkatesh 2 Rodríguez-Ramos, Reinaldo 2 Stahl, Douglas C. 2 Trȩbicki, Jerzy 2 Wang, Ge 2 Zhang, Dansong 1 Al-Ostaz, Ahmed 1 Axelrad, D. R. 1 Broglio, Steven P. 1 Conway, Charles 1 Ignaczak, Jozef 1 Ilies, Horea T. 1 Laudani, Rossella 1 Le Marrec, Loïc 1 Li, Wei 1 Longuski, James Michael 1 Moghaddasi, H. 1 Nesterenko, Vitali F. 1 Paidoussis, Michael P. 1 Povstenko, Yuriy Z. 1 Quadrelli, Marco B. 1 Quintanilla de Latorre, Ramón 1 Rubinstein, Asher A. 1 Sabet, F. A. 1 Sakhno, Lyudmyla Mykhaĭlivna 1 Sauttun, Brad 1 Shahsavari, Hossein 1 Vivar-Perez, J. M. 1 Zubelewicz, Aleksander all top 5 Serials 13 Acta Mechanica 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 International Journal of Solids and Structures 6 Mathematics and Mechanics of Solids 5 International Journal of Engineering Science 5 Mechanics Research Communications 5 Journal of Elasticity 4 Continuum Mechanics and Thermodynamics 3 Wave Motion 3 Applied Mathematical Modelling 3 Mathematics and Mechanics of Complex Systems 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Archives of Mechanics 2 International Journal of Non-Linear Mechanics 2 International Journal of Plasticity 2 Journal of Applied Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Archive of Applied Mechanics 2 Theory of Probability and Mathematical Statistics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 AIAA Journal 1 Computer Methods in Applied Mechanics and Engineering 1 Computers and Structures 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Physica A 1 Mathematics and Computers in Simulation 1 Finite Elements in Analysis and Design 1 Computational Mechanics 1 Applied Mathematics Letters 1 Journal of Non-Equilibrium Thermodynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Applied Mechanics Reviews 1 Celestial Mechanics and Dynamical Astronomy 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. A. Solids 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie 1 Discrete and Continuous Dynamical Systems. Series B 1 Theoretical and Applied Mechanics 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 International Journal of Numerical Analysis and Modeling. Series B 1 Evolution Equations and Control Theory 1 SpringerBriefs in Applied Sciences and Technology 1 Cambridge Monographs on Mathematical Physics 1 Oxford Mathematical Monographs all top 5 Fields 104 Mechanics of deformable solids (74-XX) 18 Probability theory and stochastic processes (60-XX) 18 Fluid mechanics (76-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Measure and integration (28-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 918 times in 554 Documents Cited by ▼ Year ▼ Thermoelasticity with finite wave speeds. Zbl 1183.80001Ignaczak, Jósef; Ostoja-Starzewski, Martin 117 2010 Microstructural randomness versus representative volume element in thermomechanics. Zbl 1110.74611Ostoja-Starzewski, M. 74 2002 Microstructural randomness and scaling in mechanics of materials. Zbl 1148.74002Ostoja-Starzewski, Martin 58 2008 Random field models of heterogeneous materials. Zbl 0967.74513Ostoja-Starzewski, M. 37 1998 Fractal solids, product measures and fractional wave equations. Zbl 1186.74011Li, Jun; Ostoja-Starzewski, Martin 30 2009 On the size of RVE in finite elasticity of random composites. Zbl 1104.74008Khisaeva, Z. F.; Ostoja-Starzewski, M. 26 2006 Towards thermomechanics of fractal media. Zbl 1126.74004Ostoja-Starzewski, Martin 23 2007 A micromechanically based couple-stress model of an elastic two-phase composite. Zbl 1003.74006Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin 20 2001 Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona 19 1999 Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017Ostoja-Starzewski, Martin 18 2009 Micropolar continuum mechanics of fractal media. Zbl 1423.74040Li, Jun; Ostoja-Starzewski, Martin 18 2011 Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 17 2008 Waves in fractal media. Zbl 1311.74057Demmie, Paul N.; Ostoja-Starzewski, Martin 17 2011 A micromechanically based couple-stress model of an elastic orthotropic two-phase composite. Zbl 1100.74538Bouyge, Frederic; Jasiuk, Iwona; Boccara, Stéphane; Ostoja-Starzewski, Martin 16 2002 Apparent elastic and elastoplastic behavior of periodic composites. Zbl 1090.74556Jiang, M.; Jasiuk, I.; Ostoja-Starzewski, M. 16 2002 Fractal materials, beams, and fracture mechanics. Zbl 1319.74002Ostoja-Starzewski, Martin; Li, Jun 15 2009 From fractal media to continuum mechanics. Zbl 1302.74011Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N. 14 2014 Scale effects in plasticity of random media: status and challenges. Zbl 1154.74316Ostoja-Starzewski, Martin 14 2005 On the size of representative volume element for Darcy law in random media. Zbl 1149.76669Du, X.; Ostoja-Starzewski, M. 14 2006 On turbulence in fractal porous media. Zbl 1304.76024Ostoja-Starzewski, Martin 14 2008 Scale-dependent bounds on effective elastoplastic response of random composites. Zbl 1001.74097Jiang, M.; Ostoja-Starzewski, M.; Jasiuk, I. 12 2001 Stress invariance in planar Cosserat elasticity. Zbl 0879.73005Ostoja-Starzewski, Martin; Jasiuk, Iwona 12 1995 Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072Wang, G.; Ostoja-Starzewski, M. 12 2007 On the growth and decay of acceleration waves in random media. Zbl 0941.74027Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 11 1999 A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005Ostoja-Starzewski, Martin 11 2009 Stochastic finite elements as a bridge between random material microstructure and global response. Zbl 0957.74055Ostoja-Starzewski, M.; Wang, X. 10 1999 Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388Khisaeva, Z. F.; Ostoja-Starzewski, M. 10 2006 Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019Ostoja-Starzewski, Martin 10 2011 Microstructural disorder, mesoscale finite elements and macroscopic response. Zbl 0956.74010Ostoja-Starzewski, Martin 9 1999 Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. Zbl 0711.73275Ostoja-Starzewski, M.; Wang, C. 9 1989 On the wave propagation in isotropic fractal media. Zbl 1291.74094Joumaa, Hady; Ostoja-Starzewski, Martin 9 2011 On the scaling from statistical to representative volume element in thermoelasticity of random materials. Zbl 1204.74006Du, Xiangdong; Ostoja-Starzewski, Martin 8 2006 Electromagnetism on anisotropic fractal media. Zbl 1276.78002Ostoja-Starzewski, Martin 8 2013 A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 8 2017 Tensor-valued random fields for continuum physics. Zbl 1402.60002Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 8 2019 Towards stochastic continuum thermodynamics. Zbl 1034.82030Ostoja-Starzewski, Martin 7 2002 Fracture of random matrix-inclusion composites: Scale effects and statistics. Zbl 0962.74535Alzebdeh, K.; Al-Ostaz, A.; Jasiuk, I.; Ostoja-Starzewski, M. 7 1998 Graph approach to the constitutive modelling of heterogeneous solids. Zbl 0635.73007Ostoja-Starzewski, M. 7 1987 Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects. Zbl 1341.74102Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 7 2014 Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 7 2014 On the objective rate of heat and stress fluxes. Connection with micro/nano-scale heat convection. Zbl 1419.76600Khayat, Roger E.; Ostoja-Starzewski, Martin 7 2011 Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 1467.74041Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N. 7 2016 Elasto-plasticity of paper. Zbl 1075.74019Castro, Jaime; Ostoja-Starzewski, Martin 6 2003 Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M. 6 2001 Towards scaling laws in random polycrystals. Zbl 1213.74035Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 6 2009 Mechanics of random and multiscale microstructures. Zbl 0984.00031 5 2001 Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008Joumaa, Hady; Ostoja-Starzewski, Martin 5 2011 Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 5 2016 Random fiber networks and special elastic orthotropy of paper. Zbl 1033.74009Ostoja-Starzewski, Martin; Stahl, Douglas C. 4 2000 Harmonic oscillator driven by random processes having fractal and Hurst effects. Zbl 1359.60053Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 4 2015 Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids. Zbl 0719.73047Ostoja-Starzewski, M.; Wang, C. 4 1990 Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 4 2015 Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1371.74151Nishawala, V. V.; Ostoja-Starzewski, M.; Leamy, M. J.; Porcu, E. 4 2016 Fractal planetary rings: energy inequalities and random field model. Zbl 1434.85010Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 4 2017 Fractal solids, product measures and continuum mechanics. Zbl 1396.74049Li, Jun; Ostoja-Starzewski, Martin 4 2010 Particle sieving in a random fiber network. Zbl 0994.90012Castro, Jaime; Ostoja-Starzewski, Martin 3 2000 Mechanics of random materials. Stochastics, scale effects and computation. Zbl 1017.74005Ostoja-Starzewski, M. 3 2001 Stochastic finite elements: where is the physics? Zbl 1313.74108Ostoja-Starzewski, Martin 3 2011 Random formation, inelastic response and scale effects in paper. Zbl 1134.74352Ostoja-Starzewski, Martin; Castro, Jaime 3 2003 Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021Ostoja-Starzewski, M.; Zubelewicz, A. 3 2011 Ignaczak equation of elastodynamics. Zbl 07273388Ostoja-Starzewski, Martin 3 2019 Thermo-poromechanics of fractal media. Zbl 1462.82031Li, Jun; Ostoja-Starzewski, Martin 3 2020 On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin 3 2019 Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. Zbl 07425734Ostoja-Starzewski, M.; Quintanilla, R. 3 2021 Linear elasticity of planar Delaunay networks. III: Self-consistent approximations. Zbl 0852.73006Ostoja-Starzewski, M.; Alzebdeh, K.; Jasiuk, I. 2 1995 On the distance to blow-up of acceleration waves in random media. Zbl 1056.74040Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 2 2003 Micromechanically based stochastic finite elements. Zbl 0800.73446Alzebdeh, K.; Ostoja-Starzewski, M. 2 1993 Bounds on constitutive response for a class of random material microstructures. Zbl 0728.73100Ostoja-Starzewski, M. 2 1990 Spectral finite element of a helix. Zbl 1158.74500Shahsavari, H.; Ostoja-Starzewski, M. 2 2005 On the geodesic property of strain field patterns in elastoplastic composites. Zbl 1138.74017Jeulin, Dominique; Li, Wei; Ostoja-Starzewski, Martin 2 2008 Scaling and homogenization in spatially random composites. Zbl 1302.74009Ostoja-Starzewski, Martin; Ranganathan, Shivakumar I. 2 2014 Elastodynamics in micropolar fractal solids. Zbl 1302.74124Joumaa, Hady; Ostoja-Starzewski, Martin; Demmie, Paul 2 2014 Probabilistic approach to the wave propagation in structured solids. Zbl 0553.73005Axelrad, D. R.; Ostoja-Starzewski, M. 2 1984 Acceleration waves on random fields with fractal and Hurst effects. Zbl 07213195Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 2 2017 Elastodynamics of a multilayered transversely isotropic half-space due to the rigid motion of foundation. Zbl 07221254Karimi, P.; Amiri-Hezaveh, A.; Moghaddasi, H.; Sabet, F. A.; Ostoja-Starzewski, M. 2 2019 Tensor random fields in conductivity and classical or microcontinuum theories. Zbl 1327.74017Ostoja-Starzewski, Martin; Shen, Lihua; Malyarenko, Anatoliy 2 2015 Anti-plane shear Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1425.74252Zhang, Xian; Nishawala, Vinesh; Ostoja-Starzewski, Martin 2 2019 Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 2 2018 Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod. Zbl 1384.74023Le Marrec, Loïc; Zhang, Dansong; Ostoja-Starzewski, Martin 2 2018 Random field models and scaling laws of heterogeneous media. Zbl 0961.74003Ostoja-Starzewski, M. 1 1998 The Cauchy and characteristic boundary value problems of random rigid-perfectly plastic media. Zbl 0926.74022Ostoja-Starzewski, M.; Ilies, H. 1 1996 Micromechanically based constitutive laws and random fields in solid mechanics: Elasticity, plasticity, and fracture. Zbl 1045.74500Ostoja-Starzewski, Martin 1 1996 Wavefront propagation in discrete random media via stochastic Huygens’ minor principle. Zbl 0664.73010Ostoja-Starzewski, M. 1 1989 Michell trusses in the presence of microscale material randomness: limitation of optimality. Zbl 1090.74042Ostoja-Starzewski, M. 1 2001 Wavefront propagation in a class of random microstructures. I: Bilinear elastic grains. Zbl 0749.73025Ostoja-Starzewski, Martin 1 1991 Damage in a random microstructure: Size effects, fractals, and entropy maximization. Zbl 0825.73528Ostoja-Starzewski, Martin 1 1989 On geometric acoustics in random, locally anisotropic media. Zbl 1001.74059Ostoja-Starzewski, Martin 1 2001 Viscothermoelasticity with finite wave speeds: thermomechanical laws. Zbl 1401.74056Ostoja-Starzewski, Martin 1 2014 Selected topics in stochastic wave propagation. Zbl 1089.74031Ostoja-Starzewski, M. 1 2003 Dedication. Zbl 1168.01343Ostoja-Starzewski, Martin; Nesterenko, Vitali F. 1 2009 A generalization of thermodynamic orthogonality to random media. Zbl 0727.73006Ostoja-Starzewski, Martin 1 1990 MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099Chen, Ying; Ostoja-Starzewski, Martin 1 2010 Fractals in elastic-hardening plastic materials. Zbl 1195.74144Li, J.; Ostoja-Starzewski, M. 1 2010 Brief notes. On the admissibility of an isotropic, smooth elastic continuum. Zbl 1105.74002Ostoja-Starzewski, M. 1 2005 Fracture of brittle microbeams. Zbl 1111.74584Ostoja-Starzewski, M. 1 2004 Stress wave propagation in discrete random solids. Zbl 0547.73022Ostoja-Starzewski, Martin 1 1984 Shock waves in random viscoelastic media. Zbl 1401.74159Ostoja-Starzewski, Martin; Costa, Luis 1 2012 IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin 1 2020 Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 1460.74048Zhang, Dansong; Ostoja-Starzewski, Martin 1 2019 Doppler effect described by the solutions of the Cattaneo telegraph equation. Zbl 1458.35250Povstenko, Yuriy; Ostoja-Starzewski, Martin 1 2021 Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. Zbl 07425734Ostoja-Starzewski, M.; Quintanilla, R. 3 2021 Doppler effect described by the solutions of the Cattaneo telegraph equation. Zbl 1458.35250Povstenko, Yuriy; Ostoja-Starzewski, Martin 1 2021 Convolution finite element method: an alternative approach for time integration and time-marching algorithms. Zbl 1479.74117Amiri-Hezaveh, A.; Masud, A.; Ostoja-Starzewski, M. 1 2021 Thermo-poromechanics of fractal media. Zbl 1462.82031Li, Jun; Ostoja-Starzewski, Martin 3 2020 IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin 1 2020 Violations of the Clausius-Duhem inequality in Couette flows of granular media. Zbl 1472.74047Ostoja-Starzewski, Martin; Laudani, Rossella 1 2020 Tensor-valued random fields for continuum physics. Zbl 1402.60002Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 8 2019 Ignaczak equation of elastodynamics. Zbl 07273388Ostoja-Starzewski, Martin 3 2019 On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin 3 2019 Elastodynamics of a multilayered transversely isotropic half-space due to the rigid motion of foundation. Zbl 07221254Karimi, P.; Amiri-Hezaveh, A.; Moghaddasi, H.; Sabet, F. A.; Ostoja-Starzewski, M. 2 2019 Anti-plane shear Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1425.74252Zhang, Xian; Nishawala, Vinesh; Ostoja-Starzewski, Martin 2 2019 Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 1460.74048Zhang, Dansong; Ostoja-Starzewski, Martin 1 2019 Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 2 2018 Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod. Zbl 1384.74023Le Marrec, Loïc; Zhang, Dansong; Ostoja-Starzewski, Martin 2 2018 A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 8 2017 Fractal planetary rings: energy inequalities and random field model. Zbl 1434.85010Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 4 2017 Acceleration waves on random fields with fractal and Hurst effects. Zbl 07213195Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 2 2017 Erratum to: “Second law violations, continuum mechanics, and permeability”. Zbl 1365.80005Ostoja-Starzewski, Martin 1 2017 Continuum physics with violations of the second law of thermodynamics. Zbl 1387.74005Ostoja-Starzewski, Martin 1 2017 Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 1467.74041Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N. 7 2016 Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 5 2016 Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1371.74151Nishawala, V. V.; Ostoja-Starzewski, M.; Leamy, M. J.; Porcu, E. 4 2016 Frequency-dependent scaling from mesoscale to macroscale in viscoelastic random composites. Zbl 1371.74014Zhang, Jun; Ostoja-Starzewski, Martin 1 2016 Second law violations, continuum mechanics, and permeability. Zbl 1348.80003Ostoja-Starzewski, Martin 1 2016 Harmonic oscillator driven by random processes having fractal and Hurst effects. Zbl 1359.60053Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 4 2015 Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 4 2015 Tensor random fields in conductivity and classical or microcontinuum theories. Zbl 1327.74017Ostoja-Starzewski, Martin; Shen, Lihua; Malyarenko, Anatoliy 2 2015 From fractal media to continuum mechanics. Zbl 1302.74011Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N. 14 2014 Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects. Zbl 1341.74102Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 7 2014 Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 7 2014 Scaling and homogenization in spatially random composites. Zbl 1302.74009Ostoja-Starzewski, Martin; Ranganathan, Shivakumar I. 2 2014 Elastodynamics in micropolar fractal solids. Zbl 1302.74124Joumaa, Hady; Ostoja-Starzewski, Martin; Demmie, Paul 2 2014 Viscothermoelasticity with finite wave speeds: thermomechanical laws. Zbl 1401.74056Ostoja-Starzewski, Martin 1 2014 Electromagnetism on anisotropic fractal media. Zbl 1276.78002Ostoja-Starzewski, Martin 8 2013 Shock waves in random viscoelastic media. Zbl 1401.74159Ostoja-Starzewski, Martin; Costa, Luis 1 2012 Micropolar continuum mechanics of fractal media. Zbl 1423.74040Li, Jun; Ostoja-Starzewski, Martin 18 2011 Waves in fractal media. Zbl 1311.74057Demmie, Paul N.; Ostoja-Starzewski, Martin 17 2011 Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019Ostoja-Starzewski, Martin 10 2011 On the wave propagation in isotropic fractal media. Zbl 1291.74094Joumaa, Hady; Ostoja-Starzewski, Martin 9 2011 On the objective rate of heat and stress fluxes. Connection with micro/nano-scale heat convection. Zbl 1419.76600Khayat, Roger E.; Ostoja-Starzewski, Martin 7 2011 Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008Joumaa, Hady; Ostoja-Starzewski, Martin 5 2011 Stochastic finite elements: where is the physics? Zbl 1313.74108Ostoja-Starzewski, Martin 3 2011 Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021Ostoja-Starzewski, M.; Zubelewicz, A. 3 2011 Thermoelasticity with finite wave speeds. Zbl 1183.80001Ignaczak, Jósef; Ostoja-Starzewski, Martin 117 2010 Fractal solids, product measures and continuum mechanics. Zbl 1396.74049Li, Jun; Ostoja-Starzewski, Martin 4 2010 MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099Chen, Ying; Ostoja-Starzewski, Martin 1 2010 Fractals in elastic-hardening plastic materials. Zbl 1195.74144Li, J.; Ostoja-Starzewski, M. 1 2010 Fractal solids, product measures and fractional wave equations. Zbl 1186.74011Li, Jun; Ostoja-Starzewski, Martin 30 2009 Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017Ostoja-Starzewski, Martin 18 2009 Fractal materials, beams, and fracture mechanics. Zbl 1319.74002Ostoja-Starzewski, Martin; Li, Jun 15 2009 A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005Ostoja-Starzewski, Martin 11 2009 Towards scaling laws in random polycrystals. Zbl 1213.74035Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 6 2009 Dedication. Zbl 1168.01343Ostoja-Starzewski, Martin; Nesterenko, Vitali F. 1 2009 Microstructural randomness and scaling in mechanics of materials. Zbl 1148.74002Ostoja-Starzewski, Martin 58 2008 Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 17 2008 On turbulence in fractal porous media. Zbl 1304.76024Ostoja-Starzewski, Martin 14 2008 On the geodesic property of strain field patterns in elastoplastic composites. Zbl 1138.74017Jeulin, Dominique; Li, Wei; Ostoja-Starzewski, Martin 2 2008 Towards thermomechanics of fractal media. Zbl 1126.74004Ostoja-Starzewski, Martin 23 2007 Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072Wang, G.; Ostoja-Starzewski, M. 12 2007 On the size of RVE in finite elasticity of random composites. Zbl 1104.74008Khisaeva, Z. F.; Ostoja-Starzewski, M. 26 2006 On the size of representative volume element for Darcy law in random media. Zbl 1149.76669Du, X.; Ostoja-Starzewski, M. 14 2006 Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388Khisaeva, Z. F.; Ostoja-Starzewski, M. 10 2006 On the scaling from statistical to representative volume element in thermoelasticity of random materials. Zbl 1204.74006Du, Xiangdong; Ostoja-Starzewski, Martin 8 2006 Scale effects in plasticity of random media: status and challenges. Zbl 1154.74316Ostoja-Starzewski, Martin 14 2005 Spectral finite element of a helix. Zbl 1158.74500Shahsavari, H.; Ostoja-Starzewski, M. 2 2005 Brief notes. On the admissibility of an isotropic, smooth elastic continuum. Zbl 1105.74002Ostoja-Starzewski, M. 1 2005 Fracture of brittle microbeams. Zbl 1111.74584Ostoja-Starzewski, M. 1 2004 Elasto-plasticity of paper. Zbl 1075.74019Castro, Jaime; Ostoja-Starzewski, Martin 6 2003 Random formation, inelastic response and scale effects in paper. Zbl 1134.74352Ostoja-Starzewski, Martin; Castro, Jaime 3 2003 On the distance to blow-up of acceleration waves in random media. Zbl 1056.74040Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 2 2003 Selected topics in stochastic wave propagation. Zbl 1089.74031Ostoja-Starzewski, M. 1 2003 Microstructural randomness versus representative volume element in thermomechanics. Zbl 1110.74611Ostoja-Starzewski, M. 74 2002 A micromechanically based couple-stress model of an elastic orthotropic two-phase composite. Zbl 1100.74538Bouyge, Frederic; Jasiuk, Iwona; Boccara, Stéphane; Ostoja-Starzewski, Martin 16 2002 Apparent elastic and elastoplastic behavior of periodic composites. Zbl 1090.74556Jiang, M.; Jasiuk, I.; Ostoja-Starzewski, M. 16 2002 Towards stochastic continuum thermodynamics. Zbl 1034.82030Ostoja-Starzewski, Martin 7 2002 A micromechanically based couple-stress model of an elastic two-phase composite. Zbl 1003.74006Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin 20 2001 Scale-dependent bounds on effective elastoplastic response of random composites. Zbl 1001.74097Jiang, M.; Ostoja-Starzewski, M.; Jasiuk, I. 12 2001 Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M. 6 2001 Mechanics of random and multiscale microstructures. Zbl 0984.00031 5 2001 Mechanics of random materials. Stochastics, scale effects and computation. Zbl 1017.74005Ostoja-Starzewski, M. 3 2001 Michell trusses in the presence of microscale material randomness: limitation of optimality. Zbl 1090.74042Ostoja-Starzewski, M. 1 2001 On geometric acoustics in random, locally anisotropic media. Zbl 1001.74059Ostoja-Starzewski, Martin 1 2001 Random fiber networks and special elastic orthotropy of paper. Zbl 1033.74009Ostoja-Starzewski, Martin; Stahl, Douglas C. 4 2000 Particle sieving in a random fiber network. Zbl 0994.90012Castro, Jaime; Ostoja-Starzewski, Martin 3 2000 Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona 19 1999 On the growth and decay of acceleration waves in random media. Zbl 0941.74027Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 11 1999 Stochastic finite elements as a bridge between random material microstructure and global response. Zbl 0957.74055Ostoja-Starzewski, M.; Wang, X. 10 1999 Microstructural disorder, mesoscale finite elements and macroscopic response. Zbl 0956.74010Ostoja-Starzewski, Martin 9 1999 Random field models of heterogeneous materials. Zbl 0967.74513Ostoja-Starzewski, M. 37 1998 Fracture of random matrix-inclusion composites: Scale effects and statistics. Zbl 0962.74535Alzebdeh, K.; Al-Ostaz, A.; Jasiuk, I.; Ostoja-Starzewski, M. 7 1998 Random field models and scaling laws of heterogeneous media. Zbl 0961.74003Ostoja-Starzewski, M. 1 1998 The Cauchy and characteristic boundary value problems of random rigid-perfectly plastic media. Zbl 0926.74022Ostoja-Starzewski, M.; Ilies, H. 1 1996 Micromechanically based constitutive laws and random fields in solid mechanics: Elasticity, plasticity, and fracture. Zbl 1045.74500Ostoja-Starzewski, Martin 1 1996 Stress invariance in planar Cosserat elasticity. Zbl 0879.73005Ostoja-Starzewski, Martin; Jasiuk, Iwona 12 1995 Linear elasticity of planar Delaunay networks. III: Self-consistent approximations. Zbl 0852.73006Ostoja-Starzewski, M.; Alzebdeh, K.; Jasiuk, I. 2 1995 Micromechanically based stochastic finite elements. Zbl 0800.73446Alzebdeh, K.; Ostoja-Starzewski, M. 2 1993 Wavefront propagation in a class of random microstructures. I: Bilinear elastic grains. Zbl 0749.73025Ostoja-Starzewski, Martin 1 1991 Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids. Zbl 0719.73047Ostoja-Starzewski, M.; Wang, C. 4 1990 Bounds on constitutive response for a class of random material microstructures. Zbl 0728.73100Ostoja-Starzewski, M. 2 1990 A generalization of thermodynamic orthogonality to random media. Zbl 0727.73006Ostoja-Starzewski, Martin 1 1990 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 834 Authors 57 Ostoja-Starzewski, Martin 20 Quintanilla de Latorre, Ramón 14 Mukhopadhyay, Santwana 12 Soize, Christian 11 Guilleminot, Johann 9 Tarasov, Vasily E. 8 Han, Zhongjie 8 Singh, Baljeet 8 Steinmann, Paul 7 El-Nabulsi, Rami Ahmad 7 Geers, Marc G. D. 7 Javili, Ali 7 Jordan, Pedro M. 7 Povstenko, Yuriy Z. 7 Xu, Gen-Qi 6 Fernández, Jose Ramon 6 Ibrahimbegović, Adnan 6 Li, Jun 5 Kamiński, Marcin Marek 5 Malyarenko, Anatoliy A. 5 Porcu, Emilio 5 Ranganathan, Shivakumar I. 5 Straughan, Brian 5 Wang, Guoyu 4 Abedi, Reza 4 Biswas, Siddhartha Sankar 4 Brekelmans, W. A. M. 4 Chen, Wen 4 Gupta, Manushi 4 Huang, Biao 4 Jasiuk, Iwona 4 Joumaa, Hady 4 Kanoria, Mridula 4 Leseduarte, Mari Carme 4 Liu, Wing Kam 4 Noels, Ludovic 4 Stefanou, George Demetrios 4 Trovalusci, Patrizia 4 Wriggers, Peter 3 Ahmad, Bashir 3 Al-Ostaz, Ahmed 3 Al-saedi, Ahmed Eid Salem 3 Alzebdeh, Khalid I. 3 André, Damien 3 Anukool, Waranont 3 Babuška, Ivo 3 Cartraud, Patrice 3 Chen, Wei 3 Demmie, Paul N. 3 Deswal, Sunita 3 Firooz, Soheil 3 Fish, Jacob 3 Ganghoffer, Jean-François 3 Kalkal, Kapil Kumar 3 Larsson, Fredrik 3 Legrain, Gregory 3 Liang, Naigang 3 Liu, Jinxing 3 Ma, Juan 3 Matouš, Karel 3 McBride, Andrew T. 3 McDowell, David L. 3 Mergheim, Julia 3 Nguyen, Van-Dung 3 Nikolić, Mijo 3 Nishawala, Vinesh V. 3 Peerlings, Ron H. J. 3 Picu, R. Catalin 3 Pivovarov, Dmytro 3 Runesson, Kenneth 3 Seppecher, Pierre 3 Shivay, Om Namha 3 Svendsen, Bob 3 Tian, Xiaogeng 3 Wang, Fajie 3 Willner, Kai 3 Wu, Ling 2 Abdoul-Anziz, Houssam 2 Abouelregal, Ahmed E. 2 Acton, Katherine A. 2 Aifantis, Elias C. 2 Aljoudi, Shorog 2 Amiri-Hezaveh, Amirhossein 2 Ashida, Fumihiro 2 Askes, Harm 2 Bacigalupo, Andrea 2 Bahmani, Bahador 2 Balankin, Alexander S. 2 Băleanu, Dumitru I. 2 Basak, Nirupam 2 Bazarra, Noelia 2 Beex, Lars A. A. 2 Berbiche, A. 2 Berezovski, Arkadi 2 Bhattacharyya, Rabindra Kumar 2 Binétruy, Christophe 2 Böhlke, Thomas 2 Buryachenko, Valeriy A. 2 Bustamante, Roger 2 Challamel, Noël ...and 734 more Authors all top 5 Cited in 111 Serials 65 Computer Methods in Applied Mechanics and Engineering 59 Acta Mechanica 28 Computational Mechanics 24 Mathematics and Mechanics of Solids 24 European Journal of Mechanics. A. Solids 21 International Journal for Numerical Methods in Engineering 20 Journal of the Mechanics and Physics of Solids 18 Journal of Elasticity 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 International Journal of Solids and Structures 13 Applied Mathematical Modelling 12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 Continuum Mechanics and Thermodynamics 10 International Journal of Engineering Science 10 Wave Motion 9 Meccanica 8 Archive of Applied Mechanics 8 Archives of Computational Methods in Engineering 5 Computers and Fluids 5 Journal of Mathematical Analysis and Applications 5 Mathematical Methods in the Applied Sciences 5 Mechanics Research Communications 5 Engineering Analysis with Boundary Elements 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Acta Mechanica Sinica 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Mathematical Problems in Engineering 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Applicable Analysis 3 International Journal of Plasticity 3 Journal of the Franklin Institute 3 Journal of Statistical Physics 3 Physica A 3 Chaos, Solitons and Fractals 3 International Journal of Computational Methods 3 International Journal of Fracture 3 Evolution Equations and Control Theory 3 SIAM/ASA Journal on Uncertainty Quantification 2 Physics Letters. A 2 Journal of Theoretical and Applied Mechanics (Sofia) 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Applied Mathematics Letters 2 Theory of Probability and Mathematical Statistics 2 Fractals 2 Fractional Calculus & Applied Analysis 2 European Journal of Mechanics. B. Fluids 2 Engineering Computations 2 Lobachevskii Journal of Mathematics 2 Structural and Multidisciplinary Optimization 2 Waves in Random and Complex Media 2 Applications and Applied Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 Fluid Dynamics 1 International Journal of Control 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal for Numerical Methods in Fluids 1 International Journal of Theoretical Physics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Molecular Simulation 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Applied Mathematics and Computation 1 Quarterly of Applied Mathematics 1 Systems & Control Letters 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Non-Equilibrium Thermodynamics 1 SIAM Journal on Applied Mathematics 1 International Applied Mechanics 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Electronic Journal of Probability 1 Bernoulli 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Chaos 1 Journal of Mathematical Fluid Mechanics 1 Stochastic Environmental Research and Risk Assessment 1 Nonlinear Analysis. Modelling and Control 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Sādhanā 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 Granular Matter 1 Journal of Zhejiang University. Science A 1 Journal of Fixed Point Theory and Applications 1 Communications in Computational Physics 1 Nonlinear Analysis. Hybrid Systems 1 Advances in High Energy Physics ...and 11 more Serials all top 5 Cited in 38 Fields 438 Mechanics of deformable solids (74-XX) 74 Partial differential equations (35-XX) 55 Fluid mechanics (76-XX) 49 Numerical analysis (65-XX) 45 Classical thermodynamics, heat transfer (80-XX) 25 Measure and integration (28-XX) 22 Real functions (26-XX) 22 Statistical mechanics, structure of matter (82-XX) 20 Probability theory and stochastic processes (60-XX) 13 Biology and other natural sciences (92-XX) 10 Ordinary differential equations (34-XX) 10 Systems theory; control (93-XX) 8 Statistics (62-XX) 7 Optics, electromagnetic theory (78-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year