Edit Profile (opens in new tab) Ostoja-Starzewski, Martin Co-Author Distance Author ID: ostoja-starzewski.martin Published as: Ostoja-Starzewski, Martin; Ostoja-Starzewski, M. Homepage: http://martinos.mechanical.illinois.edu/ External Links: ResearchGate Documents Indexed: 133 Publications since 1981, including 5 Books 5 Contributions as Editor Co-Authors: 57 Co-Authors with 98 Joint Publications 1,398 Co-Co-Authors all top 5 Co-Authors 38 single-authored 16 Malyarenko, Anatoliy A. 9 Amiri-Hezaveh, Amirhossein 9 Jasiuk, Iwona 7 Li, Jun 6 Karimi, Pouyan 6 Porcu, Emilio 5 Joumaa, Hady 5 Nishawala, Vinesh V. 4 Alzebdeh, Khalid I. 4 Demmie, Paul N. 4 Moghaddasi, Hamed 4 Ranganathan, Shivakumar I. 4 Shen, Lihua 4 Zhang, Xian 3 Castro, Jaime 3 Mishura, Yuliya Stepanivna 3 Olenko, Andriy Yakovych 2 Boccara, Stéphane D. 2 Bouyge, Frederic 2 Bravo-Castillero, Julián 2 Chen, Ying 2 Du, Xiangdong 2 Jeulin, Dominique 2 Khayat, Roger E. 2 Khisaeva, Z. F. 2 Leamy, Michael J. 2 Raghavan, Bharath Venkatesh 2 Rodríguez-Ramos, Reinaldo 2 Stahl, Douglas C. 2 Trȩbicki, Jerzy 2 Wang, C. 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 Jetti, Yaswanth Sai 1 Laudani, Rossella 1 Le Marrec, Loïc 1 Li, Wei 1 Longuski, James Michael 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 Vivar-Perez, J. M. 1 Wang, Xiaodong 1 Zhang, Jun 1 Zubelewicz, Aleksander all top 5 Serials 13 Acta Mechanica 11 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 Computer Methods in Applied Mechanics and Engineering 3 Wave Motion 3 Applied Mathematical Modelling 3 Theory of Probability and Mathematical Statistics 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 Computers and Structures 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Physica A 1 Mathematics and Computers in Simulation 1 Meccanica 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 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 Probability Surveys 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 109 Mechanics of deformable solids (74-XX) 24 Probability theory and stochastic processes (60-XX) 19 Fluid mechanics (76-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Measure and integration (28-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 6 Partial differential equations (35-XX) 5 Real functions (26-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 2 Ordinary differential equations (34-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 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-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 118 Publications have been cited 1,144 times in 667 Documents Cited by ▼ Year ▼ Thermoelasticity with finite wave speeds. Zbl 1183.80001 Ignaczak, Jósef; Ostoja-Starzewski, Martin 147 2010 Microstructural randomness versus representative volume element in thermomechanics. Zbl 1110.74611 Ostoja-Starzewski, M. 83 2002 Microstructural randomness and scaling in mechanics of materials. Zbl 1148.74002 Ostoja-Starzewski, Martin 66 2008 Random field models of heterogeneous materials. Zbl 0967.74513 Ostoja-Starzewski, M. 40 1998 Fractal solids, product measures and fractional wave equations. Zbl 1186.74011 Li, Jun; Ostoja-Starzewski, Martin 36 2009 On the size of RVE in finite elasticity of random composites. Zbl 1104.74008 Khisaeva, Z. F.; Ostoja-Starzewski, M. 29 2006 Towards thermomechanics of fractal media. Zbl 1126.74004 Ostoja-Starzewski, Martin 27 2007 A micromechanically based couple-stress model of an elastic two-phase composite. Zbl 1003.74006 Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin 22 2001 Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017 Ostoja-Starzewski, Martin 22 2009 Micropolar continuum mechanics of fractal media. Zbl 1423.74040 Li, Jun; Ostoja-Starzewski, Martin 22 2011 Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049 Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona 21 1999 From fractal media to continuum mechanics. Zbl 1302.74011 Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N. 21 2014 Waves in fractal media. Zbl 1311.74057 Demmie, Paul N.; Ostoja-Starzewski, Martin 21 2011 Fractal materials, beams, and fracture mechanics. Zbl 1319.74002 Ostoja-Starzewski, Martin; Li, Jun 20 2009 Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410 Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 19 2008 Apparent elastic and elastoplastic behavior of periodic composites. Zbl 1090.74556 Jiang, M.; Jasiuk, I.; Ostoja-Starzewski, M. 18 2002 On the size of representative volume element for Darcy law in random media. Zbl 1149.76669 Du, X.; Ostoja-Starzewski, M. 16 2006 On turbulence in fractal porous media. Zbl 1304.76024 Ostoja-Starzewski, Martin 16 2008 A micromechanically based couple-stress model of an elastic orthotropic two-phase composite. Zbl 1100.74538 Bouyge, Frederic; Jasiuk, Iwona; Boccara, Stéphane; Ostoja-Starzewski, Martin 16 2002 Scale effects in plasticity of random media: status and challenges. Zbl 1154.74316 Ostoja-Starzewski, Martin 15 2005 Tensor-valued random fields for continuum physics. Zbl 1402.60002 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 15 2019 Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects. Zbl 1341.74102 Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 14 2014 Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072 Wang, G.; Ostoja-Starzewski, M. 13 2007 Stochastic finite elements as a bridge between random material microstructure and global response. Zbl 0957.74055 Ostoja-Starzewski, M.; Wang, X. 13 1999 Scale-dependent bounds on effective elastoplastic response of random composites. Zbl 1001.74097 Jiang, M.; Ostoja-Starzewski, M.; Jasiuk, I. 13 2001 Stress invariance in planar Cosserat elasticity. Zbl 0879.73005 Ostoja-Starzewski, Martin; Jasiuk, Iwona 13 1995 A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005 Ostoja-Starzewski, Martin 13 2009 A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 12 2017 On the growth and decay of acceleration waves in random media. Zbl 0941.74027 Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 11 1999 Mechanics of random and multiscale microstructures. Zbl 0984.00031 11 2001 Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388 Khisaeva, Z. F.; Ostoja-Starzewski, M. 10 2006 Microstructural disorder, mesoscale finite elements and macroscopic response. Zbl 0956.74010 Ostoja-Starzewski, Martin 10 1999 On the wave propagation in isotropic fractal media. Zbl 1291.74094 Joumaa, Hady; Ostoja-Starzewski, Martin 10 2011 Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019 Ostoja-Starzewski, Martin 10 2011 Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. Zbl 0711.73275 Ostoja-Starzewski, M.; Wang, C. 9 1989 Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 9 2014 Fractal planetary rings: energy inequalities and random field model. Zbl 1434.85010 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 9 2017 Ignaczak equation of elastodynamics. Zbl 07273388 Ostoja-Starzewski, Martin 9 2019 Electromagnetism on anisotropic fractal media. Zbl 1276.78002 Ostoja-Starzewski, Martin 9 2013 Graph approach to the constitutive modelling of heterogeneous solids. Zbl 0635.73007 Ostoja-Starzewski, M. 8 1987 On the scaling from statistical to representative volume element in thermoelasticity of random materials. Zbl 1204.74006 Du, Xiangdong; Ostoja-Starzewski, Martin 8 2006 Fracture of random matrix-inclusion composites: Scale effects and statistics. Zbl 0962.74535 Alzebdeh, K.; Al-Ostaz, A.; Jasiuk, I.; Ostoja-Starzewski, M. 8 1998 Towards stochastic continuum thermodynamics. Zbl 1034.82030 Ostoja-Starzewski, Martin 8 2002 Thermo-poromechanics of fractal media. Zbl 1462.82031 Li, Jun; Ostoja-Starzewski, Martin 8 2020 Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 1467.74041 Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N. 8 2016 On the objective rate of heat and stress fluxes. Connection with micro/nano-scale heat convection. Zbl 1419.76600 Khayat, Roger E.; Ostoja-Starzewski, Martin 7 2011 Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047 Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M. 7 2001 Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1371.74151 Nishawala, V. V.; Ostoja-Starzewski, M.; Leamy, M. J.; Porcu, E. 7 2016 Fractal solids, product measures and continuum mechanics. Zbl 1396.74049 Li, Jun; Ostoja-Starzewski, Martin 7 2010 Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008 Joumaa, Hady; Ostoja-Starzewski, Martin 6 2011 Elasto-plasticity of paper. Zbl 1075.74019 Castro, Jaime; Ostoja-Starzewski, Martin 6 2003 Harmonic oscillator driven by random processes having fractal and Hurst effects. Zbl 1359.60053 Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 6 2015 Violations of the Clausius-Duhem inequality in Couette flows of granular media. Zbl 1472.74047 Ostoja-Starzewski, Martin; Laudani, Rossella 6 2020 Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 6 2016 Towards scaling laws in random polycrystals. Zbl 1213.74035 Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 5 2009 Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077 Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 5 2015 Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. Zbl 1493.76088 Ostoja-Starzewski, M.; Quintanilla, R. 5 2021 Elastodynamics of a multilayered transversely isotropic half-space due to the rigid motion of foundation. Zbl 1524.74179 Karimi, P.; Amiri-Hezaveh, A.; Moghaddasi, H.; Sabet, F. A.; Ostoja-Starzewski, M. 5 2019 Peristatic solutions for finite one- and two-dimensional systems. Zbl 1391.74125 Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 5 2017 Acceleration waves on random fields with fractal and Hurst effects. Zbl 1524.35791 Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 5 2017 Random fiber networks and special elastic orthotropy of paper. Zbl 1033.74009 Ostoja-Starzewski, Martin; Stahl, Douglas C. 4 2000 Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids. Zbl 0719.73047 Ostoja-Starzewski, M.; Wang, C. 4 1990 Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 4 2018 Stochastic characteristics and second law violations of atomic fluids in Couette flow. Zbl 1514.82210 Raghavan, Bharath V.; Karimi, Pouyan; Ostoja-Starzewski, Martin 4 2018 Elastodynamic problem on tensor random fields with fractal and Hurst effects. Zbl 07724437 Zhang, Xian; Malyarenko, Anatoliy; Porcu, Emilio; Ostoja-Starzewski, Martin 4 2022 RVE problem: mathematical aspects and related stochastic mechanics. Zbl 1476.74004 Karimi, Pouyan; Malyarenko, Anatoliy; Ostoja-Starzewski, Martin; Zhang, Xian 4 2020 Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021 Ostoja-Starzewski, M.; Zubelewicz, A. 3 2011 Particle sieving in a random fiber network. Zbl 0994.90012 Castro, Jaime; Ostoja-Starzewski, Martin 3 2000 Random formation, inelastic response and scale effects in paper. Zbl 1134.74352 Ostoja-Starzewski, Martin; Castro, Jaime 3 2003 Micromechanically based stochastic finite elements. Zbl 0800.73446 Alzebdeh, K.; Ostoja-Starzewski, M. 3 1993 Tensor random fields in conductivity and classical or microcontinuum theories. Zbl 1327.74017 Ostoja-Starzewski, Martin; Shen, Lihua; Malyarenko, Anatoliy 3 2015 Second law violations, continuum mechanics, and permeability. Zbl 1348.80003 Ostoja-Starzewski, Martin 3 2016 Mechanics of random materials. Stochastics, scale effects and computation. Zbl 1017.74005 Ostoja-Starzewski, M. 3 2001 Convolution finite element method: an alternative approach for time integration and time-marching algorithms. Zbl 1479.74117 Amiri-Hezaveh, A.; Masud, A.; Ostoja-Starzewski, M. 3 2021 Anti-plane shear Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1425.74252 Zhang, Xian; Nishawala, Vinesh; Ostoja-Starzewski, Martin 3 2019 On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044 Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin 3 2019 Stress field formulation of linear electro-magneto-elastic materials. Zbl 07273394 Amiri-Hezaveh, A.; Karimi, P.; Ostoja-Starzewski, M. 3 2019 IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313 Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin 3 2020 Stochastic finite elements: where is the physics? Zbl 1313.74108 Ostoja-Starzewski, Martin 3 2011 On the geodesic property of strain field patterns in elastoplastic composites. Zbl 1138.74017 Jeulin, Dominique; Li, Wei; Ostoja-Starzewski, Martin 2 2008 Stress wave propagation in discrete random solids. Zbl 0547.73022 Ostoja-Starzewski, Martin 2 1984 Probabilistic approach to the wave propagation in structured solids. Zbl 0553.73005 Axelrad, D. R.; Ostoja-Starzewski, M. 2 1984 Linear elasticity of planar Delaunay networks. III: Self-consistent approximations. Zbl 0852.73006 Ostoja-Starzewski, M.; Alzebdeh, K.; Jasiuk, I. 2 1995 Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod. Zbl 1384.74023 Le Marrec, Loïc; Zhang, Dansong; Ostoja-Starzewski, Martin 2 2018 Spectral finite element of a helix. Zbl 1158.74500 Shahsavari, H.; Ostoja-Starzewski, M. 2 2005 Bounds on constitutive response for a class of random material microstructures. Zbl 0728.73100 Ostoja-Starzewski, M. 2 1990 Wavefront propagation in a class of random microstructures. I: Bilinear elastic grains. Zbl 0749.73025 Ostoja-Starzewski, Martin 2 1991 Scaling and homogenization in spatially random composites. Zbl 1302.74009 Ostoja-Starzewski, Martin; Ranganathan, Shivakumar I. 2 2014 Elastodynamics in micropolar fractal solids. Zbl 1302.74124 Joumaa, Hady; Ostoja-Starzewski, Martin; Demmie, Paul 2 2014 On the distance to blow-up of acceleration waves in random media. Zbl 1056.74040 Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 2 2003 Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 1460.74048 Zhang, Dansong; Ostoja-Starzewski, Martin 2 2019 Random fields of piezoelectricity and piezomagnetism. Correlation structures. Zbl 1451.74001 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin; Amiri-Hezaveh, Amirhossein 2 2020 A convolutional-iterative solver for nonlinear dynamical systems. Zbl 1524.74407 Amiri-Hezaveh, A.; Ostoja-Starzewski, M. 2 2022 MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099 Chen, Ying; Ostoja-Starzewski, Martin 2 2010 Polyadic random fields. Zbl 1505.60056 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 2 2022 Wavefront propagation in discrete random media via stochastic Huygens’ minor principle. Zbl 0664.73010 Ostoja-Starzewski, M. 1 1989 Fracture of brittle microbeams. Zbl 1111.74584 Ostoja-Starzewski, M. 1 2004 Random field models and scaling laws of heterogeneous media. Zbl 0961.74003 Ostoja-Starzewski, M. 1 1998 The Cauchy and characteristic boundary value problems of random rigid-perfectly plastic media. Zbl 0926.74022 Ostoja-Starzewski, M.; Ilies, H. 1 1996 Continuum physics with violations of the second law of thermodynamics. Zbl 1387.74005 Ostoja-Starzewski, Martin 1 2017 Tensor- and spinor-valued random fields with applications to continuum physics and cosmology. Zbl 1502.60078 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 1 2023 Elastodynamic problem on tensor random fields with fractal and Hurst effects. Zbl 07724437 Zhang, Xian; Malyarenko, Anatoliy; Porcu, Emilio; Ostoja-Starzewski, Martin 4 2022 A convolutional-iterative solver for nonlinear dynamical systems. Zbl 1524.74407 Amiri-Hezaveh, A.; Ostoja-Starzewski, M. 2 2022 Polyadic random fields. Zbl 1505.60056 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 2 2022 Convolution finite element method for analysis of piezoelectric materials. Zbl 1507.74442 Amiri-Hezaveh, A.; Moghaddasi, H.; Ostoja-Starzewski, M. 1 2022 Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. Zbl 1493.76088 Ostoja-Starzewski, M.; Quintanilla, R. 5 2021 Convolution finite element method: an alternative approach for time integration and time-marching algorithms. Zbl 1479.74117 Amiri-Hezaveh, A.; Masud, A.; Ostoja-Starzewski, M. 3 2021 Doppler effect described by the solutions of the Cattaneo telegraph equation. Zbl 1458.35250 Povstenko, Yuriy; Ostoja-Starzewski, Martin 1 2021 Thermo-poromechanics of fractal media. Zbl 1462.82031 Li, Jun; Ostoja-Starzewski, Martin 8 2020 Violations of the Clausius-Duhem inequality in Couette flows of granular media. Zbl 1472.74047 Ostoja-Starzewski, Martin; Laudani, Rossella 6 2020 RVE problem: mathematical aspects and related stochastic mechanics. Zbl 1476.74004 Karimi, Pouyan; Malyarenko, Anatoliy; Ostoja-Starzewski, Martin; Zhang, Xian 4 2020 IBVP for electromagneto-elastic materials: variational approach. Zbl 1447.35313 Amiri-Hezaveh, Amirhossein; Karimi, Pouyan; Ostoja-Starzewski, Martin 3 2020 Random fields of piezoelectricity and piezomagnetism. Correlation structures. Zbl 1451.74001 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin; Amiri-Hezaveh, Amirhossein 2 2020 Impact force and moment problems on random mass density fields with fractal and Hurst effects. Zbl 1462.74125 Zhang, Xian; Ostoja-Starzewski, Martin 1 2020 Tensor-valued random fields for continuum physics. Zbl 1402.60002 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 15 2019 Ignaczak equation of elastodynamics. Zbl 07273388 Ostoja-Starzewski, Martin 9 2019 Elastodynamics of a multilayered transversely isotropic half-space due to the rigid motion of foundation. Zbl 1524.74179 Karimi, P.; Amiri-Hezaveh, A.; Moghaddasi, H.; Sabet, F. A.; Ostoja-Starzewski, M. 5 2019 Anti-plane shear Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1425.74252 Zhang, Xian; Nishawala, Vinesh; Ostoja-Starzewski, Martin 3 2019 On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044 Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin 3 2019 Stress field formulation of linear electro-magneto-elastic materials. Zbl 07273394 Amiri-Hezaveh, A.; Karimi, P.; Ostoja-Starzewski, M. 3 2019 Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 1460.74048 Zhang, Dansong; Ostoja-Starzewski, Martin 2 2019 Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 4 2018 Stochastic characteristics and second law violations of atomic fluids in Couette flow. Zbl 1514.82210 Raghavan, Bharath V.; Karimi, Pouyan; Ostoja-Starzewski, Martin 4 2018 Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod. Zbl 1384.74023 Le Marrec, Loïc; Zhang, Dansong; Ostoja-Starzewski, Martin 2 2018 A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 12 2017 Fractal planetary rings: energy inequalities and random field model. Zbl 1434.85010 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 9 2017 Peristatic solutions for finite one- and two-dimensional systems. Zbl 1391.74125 Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 5 2017 Acceleration waves on random fields with fractal and Hurst effects. Zbl 1524.35791 Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 5 2017 Continuum physics with violations of the second law of thermodynamics. Zbl 1387.74005 Ostoja-Starzewski, Martin 1 2017 Erratum to: “Second law violations, continuum mechanics, and permeability”. Zbl 1365.80005 Ostoja-Starzewski, Martin 1 2017 Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 1467.74041 Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N. 8 2016 Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1371.74151 Nishawala, V. V.; Ostoja-Starzewski, M.; Leamy, M. J.; Porcu, E. 7 2016 Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 6 2016 Second law violations, continuum mechanics, and permeability. Zbl 1348.80003 Ostoja-Starzewski, Martin 3 2016 Frequency-dependent scaling from mesoscale to macroscale in viscoelastic random composites. Zbl 1371.74014 Zhang, Jun; Ostoja-Starzewski, Martin 1 2016 Spectral expansion of three-dimensional elasticity tensor random fields. Zbl 1356.74022 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 1 2016 Harmonic oscillator driven by random processes having fractal and Hurst effects. Zbl 1359.60053 Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 6 2015 Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077 Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 5 2015 Tensor random fields in conductivity and classical or microcontinuum theories. Zbl 1327.74017 Ostoja-Starzewski, Martin; Shen, Lihua; Malyarenko, Anatoliy 3 2015 From fractal media to continuum mechanics. Zbl 1302.74011 Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N. 21 2014 Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects. Zbl 1341.74102 Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 14 2014 Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061 Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 9 2014 Scaling and homogenization in spatially random composites. Zbl 1302.74009 Ostoja-Starzewski, Martin; Ranganathan, Shivakumar I. 2 2014 Elastodynamics in micropolar fractal solids. Zbl 1302.74124 Joumaa, Hady; Ostoja-Starzewski, Martin; Demmie, Paul 2 2014 Viscothermoelasticity with finite wave speeds: thermomechanical laws. Zbl 1401.74056 Ostoja-Starzewski, Martin 1 2014 Electromagnetism on anisotropic fractal media. Zbl 1276.78002 Ostoja-Starzewski, Martin 9 2013 Shock waves in random viscoelastic media. Zbl 1401.74159 Ostoja-Starzewski, Martin; Costa, Luis 1 2012 Micropolar continuum mechanics of fractal media. Zbl 1423.74040 Li, Jun; Ostoja-Starzewski, Martin 22 2011 Waves in fractal media. Zbl 1311.74057 Demmie, Paul N.; Ostoja-Starzewski, Martin 21 2011 On the wave propagation in isotropic fractal media. Zbl 1291.74094 Joumaa, Hady; Ostoja-Starzewski, Martin 10 2011 Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019 Ostoja-Starzewski, Martin 10 2011 On the objective rate of heat and stress fluxes. Connection with micro/nano-scale heat convection. Zbl 1419.76600 Khayat, Roger E.; Ostoja-Starzewski, Martin 7 2011 Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008 Joumaa, Hady; Ostoja-Starzewski, Martin 6 2011 Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021 Ostoja-Starzewski, M.; Zubelewicz, A. 3 2011 Stochastic finite elements: where is the physics? Zbl 1313.74108 Ostoja-Starzewski, Martin 3 2011 Thermoelasticity with finite wave speeds. Zbl 1183.80001 Ignaczak, Jósef; Ostoja-Starzewski, Martin 147 2010 Fractal solids, product measures and continuum mechanics. Zbl 1396.74049 Li, Jun; Ostoja-Starzewski, Martin 7 2010 MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099 Chen, Ying; Ostoja-Starzewski, Martin 2 2010 Fractals in elastic-hardening plastic materials. Zbl 1195.74144 Li, J.; Ostoja-Starzewski, M. 1 2010 Fractal solids, product measures and fractional wave equations. Zbl 1186.74011 Li, Jun; Ostoja-Starzewski, Martin 36 2009 Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017 Ostoja-Starzewski, Martin 22 2009 Fractal materials, beams, and fracture mechanics. Zbl 1319.74002 Ostoja-Starzewski, Martin; Li, Jun 20 2009 A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005 Ostoja-Starzewski, Martin 13 2009 Towards scaling laws in random polycrystals. Zbl 1213.74035 Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 5 2009 Dedication. Zbl 1168.01343 Ostoja-Starzewski, Martin; Nesterenko, Vitali F. 1 2009 Microstructural randomness and scaling in mechanics of materials. Zbl 1148.74002 Ostoja-Starzewski, Martin 66 2008 Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410 Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 19 2008 On turbulence in fractal porous media. Zbl 1304.76024 Ostoja-Starzewski, Martin 16 2008 On the geodesic property of strain field patterns in elastoplastic composites. Zbl 1138.74017 Jeulin, Dominique; Li, Wei; Ostoja-Starzewski, Martin 2 2008 Towards thermomechanics of fractal media. Zbl 1126.74004 Ostoja-Starzewski, Martin 27 2007 Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072 Wang, G.; Ostoja-Starzewski, M. 13 2007 On the size of RVE in finite elasticity of random composites. Zbl 1104.74008 Khisaeva, Z. F.; Ostoja-Starzewski, M. 29 2006 On the size of representative volume element for Darcy law in random media. Zbl 1149.76669 Du, X.; Ostoja-Starzewski, M. 16 2006 Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388 Khisaeva, Z. F.; Ostoja-Starzewski, M. 10 2006 On the scaling from statistical to representative volume element in thermoelasticity of random materials. Zbl 1204.74006 Du, Xiangdong; Ostoja-Starzewski, Martin 8 2006 Scale effects in plasticity of random media: status and challenges. Zbl 1154.74316 Ostoja-Starzewski, Martin 15 2005 Spectral finite element of a helix. Zbl 1158.74500 Shahsavari, H.; Ostoja-Starzewski, M. 2 2005 Brief notes. On the admissibility of an isotropic, smooth elastic continuum. Zbl 1105.74002 Ostoja-Starzewski, M. 1 2005 Fracture of brittle microbeams. Zbl 1111.74584 Ostoja-Starzewski, M. 1 2004 Elasto-plasticity of paper. Zbl 1075.74019 Castro, Jaime; Ostoja-Starzewski, Martin 6 2003 Random formation, inelastic response and scale effects in paper. Zbl 1134.74352 Ostoja-Starzewski, Martin; Castro, Jaime 3 2003 On the distance to blow-up of acceleration waves in random media. Zbl 1056.74040 Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 2 2003 Selected topics in stochastic wave propagation. Zbl 1089.74031 Ostoja-Starzewski, M. 1 2003 Microstructural randomness versus representative volume element in thermomechanics. Zbl 1110.74611 Ostoja-Starzewski, M. 83 2002 Apparent elastic and elastoplastic behavior of periodic composites. Zbl 1090.74556 Jiang, M.; Jasiuk, I.; Ostoja-Starzewski, M. 18 2002 A micromechanically based couple-stress model of an elastic orthotropic two-phase composite. Zbl 1100.74538 Bouyge, Frederic; Jasiuk, Iwona; Boccara, Stéphane; Ostoja-Starzewski, Martin 16 2002 Towards stochastic continuum thermodynamics. Zbl 1034.82030 Ostoja-Starzewski, Martin 8 2002 A micromechanically based couple-stress model of an elastic two-phase composite. Zbl 1003.74006 Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin 22 2001 Scale-dependent bounds on effective elastoplastic response of random composites. Zbl 1001.74097 Jiang, M.; Ostoja-Starzewski, M.; Jasiuk, I. 13 2001 Mechanics of random and multiscale microstructures. Zbl 0984.00031 11 2001 Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047 Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M. 7 2001 Mechanics of random materials. Stochastics, scale effects and computation. Zbl 1017.74005 Ostoja-Starzewski, M. 3 2001 On geometric acoustics in random, locally anisotropic media. Zbl 1001.74059 Ostoja-Starzewski, Martin 1 2001 Michell trusses in the presence of microscale material randomness: limitation of optimality. Zbl 1090.74042 Ostoja-Starzewski, M. 1 2001 Random fiber networks and special elastic orthotropy of paper. Zbl 1033.74009 Ostoja-Starzewski, Martin; Stahl, Douglas C. 4 2000 Particle sieving in a random fiber network. Zbl 0994.90012 Castro, Jaime; Ostoja-Starzewski, Martin 3 2000 Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049 Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona 21 1999 Stochastic finite elements as a bridge between random material microstructure and global response. Zbl 0957.74055 Ostoja-Starzewski, M.; Wang, X. 13 1999 On the growth and decay of acceleration waves in random media. Zbl 0941.74027 Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 11 1999 Microstructural disorder, mesoscale finite elements and macroscopic response. Zbl 0956.74010 Ostoja-Starzewski, Martin 10 1999 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,018 Authors 64 Ostoja-Starzewski, Martin 28 Quintanilla de Latorre, Ramón 18 Mukhopadhyay, Santwana 12 Soize, Christian 11 Guilleminot, Johann 10 El-Nabulsi, Rami Ahmad 10 Fernández, Jose Ramon 9 Steinmann, Paul 9 Tarasov, Vasily E. 8 Han, Zhongjie 8 Javili, Ali 8 Malyarenko, Anatoliy A. 8 Porcu, Emilio 8 Singh, Baljeet 7 Chen, Wen 7 Geers, Marc G. D. 7 Jordan, Pedro M. 7 Kamiński, Marcin Marek 7 Noels, Ludovic 7 Povstenko, Yuriy Z. 7 Xu, Gen-Qi 6 Anukool, Waranont 6 Ibrahimbegović, Adnan 6 Li, Jun 6 Wu, Ling 5 Abedi, Reza 5 Amiri-Hezaveh, Amirhossein 5 Gupta, Manushi 5 Kanoria, Mridula 5 Nguyen, Van-Dung 5 Ranganathan, Shivakumar I. 5 Stefanou, George Demetrios 5 Straughan, Brian 5 Tian, Xiaogeng 5 Trovalusci, Patrizia 5 Wang, Guoyu 4 André, Damien 4 Bazarra, Noelia 4 Biswas, Siddhartha Sankar 4 Brekelmans, W. A. M. 4 Challamel, Noël 4 Ganghoffer, Jean-François 4 Huang, Biao 4 Jangid, Komal 4 Jasiuk, Iwona 4 Joumaa, Hady 4 Leseduarte, Mari Carme 4 Liu, Wing Kam 4 McBride, Andrew T. 4 Shivay, Om Namha 4 Sur, Abhik 4 Wang, Fajie 4 Wriggers, Peter 4 Zhang, Xian 3 Abouelregal, Ahmed E. 3 Acton, Katherine A. 3 Ahmad, Bashir 3 Al-Ostaz, Ahmed 3 Al-saedi, Ahmed Eid Salem 3 Alzebdeh, Khalid I. 3 Askes, Harm 3 Babuška, Ivo 3 Balankin, Alexander S. 3 Cartraud, Patrice 3 Chatzigeorgiou, George 3 Chen, Wei 3 dell’Isola, Francesco 3 Demmie, Paul N. 3 Deswal, Sunita 3 Eremeyev, Victor A. 3 Firooz, Soheil 3 Fish, Jacob 3 Forest, Samuel 3 Gao, Xinlin 3 Ghosh, Debraj 3 Guo, Huili 3 He, Tianhu 3 Jeulin, Dominique 3 Kalkal, Kapil Kumar 3 Karimi, Pouyan 3 Larsson, Fredrik 3 Legrain, Gregory 3 Leonenko, Nikolai N. 3 Li, Chenlin 3 Liang, Naigang 3 Liu, Jinxing 3 Liu, Zhuangyi 3 Ma, Juan 3 Matouš, Karel 3 McDowell, David L. 3 Mergheim, Julia 3 Mihai, L. Angela 3 Nikolić, Mijo 3 Nishawala, Vinesh V. 3 Oterkus, Erkan 3 Oterkus, Selda 3 Othman, Mohamed Ibrahim Ahmed 3 Papadrakakis, Manolis 3 Peerlings, Ron H. J. 3 Picu, R. Catalin ...and 918 more Authors all top 5 Cited in 125 Serials 80 Computer Methods in Applied Mechanics and Engineering 69 Acta Mechanica 32 European Journal of Mechanics. A. Solids 29 Computational Mechanics 27 International Journal for Numerical Methods in Engineering 25 Mathematics and Mechanics of Solids 20 Journal of the Mechanics and Physics of Solids 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Meccanica 18 Applied Mathematical Modelling 18 Journal of Elasticity 15 International Journal of Engineering Science 15 International Journal of Solids and Structures 14 Continuum Mechanics and Thermodynamics 13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 Wave Motion 8 Archive of Applied Mechanics 8 Archives of Computational Methods in Engineering 8 Waves in Random and Complex Media 5 Computers and Fluids 5 Computers & Mathematics with Applications 5 Journal of Mathematical Analysis and Applications 5 Journal of Statistical Physics 5 Mathematical Methods in the Applied Sciences 5 Chaos, Solitons and Fractals 5 Mechanics Research Communications 5 Engineering Analysis with Boundary Elements 5 Communications in Nonlinear Science and Numerical Simulation 5 Acta Mechanica Sinica 4 Applicable Analysis 4 Journal of Computational Physics 4 Physica A 4 Mathematical Problems in Engineering 4 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Computational Methods 4 Mathematics and Mechanics of Complex Systems 4 SIAM/ASA Journal on Uncertainty Quantification 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 International Journal of Plasticity 3 Journal of the Franklin Institute 3 Computational and Applied Mathematics 3 International Journal of Fracture 3 Evolution Equations and Control Theory 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 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 Archives of Mechanics 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 Engineering Mathematics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physics Reports 1 Molecular Simulation 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Applied Mathematics and Computation 1 Journal of Applied Probability 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 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 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 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Sādhanā ...and 25 more Serials all top 5 Cited in 38 Fields 526 Mechanics of deformable solids (74-XX) 92 Partial differential equations (35-XX) 67 Numerical analysis (65-XX) 62 Fluid mechanics (76-XX) 50 Classical thermodynamics, heat transfer (80-XX) 31 Measure and integration (28-XX) 29 Probability theory and stochastic processes (60-XX) 29 Statistical mechanics, structure of matter (82-XX) 26 Real functions (26-XX) 14 Biology and other natural sciences (92-XX) 12 Statistics (62-XX) 10 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 9 Optics, electromagnetic theory (78-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-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 Information and communication theory, circuits (94-XX) Citations by Year