Edit Profile Ostoja-Starzewski, Martin Compute Distance To: Compute Author ID: ostoja-starzewski.martin Published as: Ostoja-Starzewski, M.; Ostoja-Starzewski, Martin Homepage: http://martinos.mechanical.illinois.edu/ External Links: ResearchGate Documents Indexed: 120 Publications since 1981, including 6 Books all top 5 Co-Authors 37 single-authored 10 Malyarenko, Anatoliy A. 9 Jasiuk, Iwona 6 Li, Jun 5 Joumaa, Hady 5 Nishawala, Vinesh V. 4 Alzebdeh, Khalid I. 4 Amiri-Hezaveh, Amirhossein 4 Demmie, Paul N. 4 Karimi, Pouyan 4 Porcu, Emilio 4 Ranganathan, Shivakumar I. 4 Shen, Lihua 3 Castro, Jaime 3 Jiang, Maoqiang 2 Boccara, Stéphane D. 2 Bouyge, Frederic 2 Bravo-Castillero, Julián 2 Chen, Ying 2 Costa, Luís Henrique M. K. 2 Du, Xiangdong 2 Jeulin, Dominique 2 Khayat, Roger E. 2 Khisaeva, Z. F. 2 Leamy, Michael J. 2 Rodríguez-Ramos, Reinaldo 2 Stahl, Douglas C. 2 Trȩbicki, Jerzy 2 Wang, Ge 2 Zhang, Dansong 2 Zhang, Xian 1 Al-Ostaz, Ahmed 1 Axelrad, D. R. 1 Broglio, Steven P. 1 Conway, Charles 1 Ignaczak, Jozef 1 Ilies, Horea T. 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 Raghavan, Bharath Venkatesh 1 Rubinstein, Asher A. 1 Sabet, F. A. 1 Sauttun, Brad 1 Shahsavari, Hossein 1 Vivar-Perez, J. M. 1 Wang, Chao 1 Wang, Cheng 1 Wang, Xianhong 1 Zhang, Jun 1 Zubelewicz, Aleksander all top 5 Serials 13 Acta Mechanica 9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 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 Proceedings 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 Mathematics and Computers in Simulation 1 Finite Elements in Analysis and Design 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 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 99 Mechanics of deformable solids (74-XX) 17 Probability theory and stochastic processes (60-XX) 15 Fluid mechanics (76-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Geophysics (86-XX) 2 Ordinary differential equations (34-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 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-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 97 Publications have been cited 787 times in 489 Documents Cited by ▼ Year ▼ Thermoelasticity with finite wave speeds. Zbl 1183.80001Ignaczak, Jósef; Ostoja-Starzewski, Martin 105 2010 Microstructural randomness versus representative volume element in thermomechanics. Zbl 1110.74611Ostoja-Starzewski, M. 66 2002 Microstructural randomness and scaling in mechanics of materials. Zbl 1148.74002Ostoja-Starzewski, Martin 50 2008 Random field models of heterogeneous materials. Zbl 0967.74513Ostoja-Starzewski, M. 31 1998 Fractal solids, product measures and fractional wave equations. Zbl 1186.74011Li, Jun; Ostoja-Starzewski, Martin 25 2009 On the size of RVE in finite elasticity of random composites. Zbl 1104.74008Khisaeva, Z. F.; Ostoja-Starzewski, M. 24 2006 A micromechanically based couple-stress model of an elastic two-phase composite. Zbl 1003.74006Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin 20 2001 Towards thermomechanics of fractal media. Zbl 1126.74004Ostoja-Starzewski, Martin 19 2007 Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 18 2008 Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona 18 1999 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 Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017Ostoja-Starzewski, Martin 14 2009 Micropolar continuum mechanics of fractal media. Zbl 1423.74040Li, Jun; Ostoja-Starzewski, Martin 13 2011 On the size of representative volume element for Darcy law in random media. Zbl 1149.76669Du, X.; Ostoja-Starzewski, M. 13 2006 Waves in fractal media. Zbl 1311.74057Demmie, Paul N.; Ostoja-Starzewski, Martin 12 2011 A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005Ostoja-Starzewski, Martin 12 2009 Fractal materials, beams, and fracture mechanics. Zbl 1319.74002Ostoja-Starzewski, Martin; Li, Jun 12 2009 Scale effects in plasticity of random media: status and challenges. Zbl 1154.74316Ostoja-Starzewski, Martin 12 2005 Stress invariance in planar Cosserat elasticity. Zbl 0879.73005Ostoja-Starzewski, Martin; Jasiuk, Iwona 12 1995 On turbulence in fractal porous media. Zbl 1304.76024Ostoja-Starzewski, Martin 11 2008 Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072Wang, G.; Ostoja-Starzewski, M. 11 2007 Scale-dependent bounds on effective elastoplastic response of random composites. Zbl 1001.74097Jiang, M.; Ostoja-Starzewski, M.; Jasiuk, I. 11 2001 On the growth and decay of acceleration waves in random media. Zbl 0941.74027Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 11 1999 From fractal media to continuum mechanics. Zbl 1302.74011Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N. 10 2014 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 Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. Zbl 0711.73275Ostoja-Starzewski, M.; Wang, C. 9 1989 Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019Ostoja-Starzewski, Martin 8 2011 On the wave propagation in isotropic fractal media. Zbl 1291.74094Joumaa, Hady; Ostoja-Starzewski, Martin 8 2011 Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388Khisaeva, Z. F.; Ostoja-Starzewski, M. 8 2006 On the scaling from statistical to representative volume element in thermoelasticity of random materials. Zbl 1204.74006Du, Xiangdong; Ostoja-Starzewski, Martin 8 2006 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 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 Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 6 2014 Electromagnetism on anisotropic fractal media. Zbl 1276.78002Ostoja-Starzewski, Martin 6 2013 Towards scaling laws in random polycrystals. Zbl 1213.74035Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 6 2009 Elasto-plasticity of paper. Zbl 1075.74019Castro, Jaime; Ostoja-Starzewski, Martin 6 2003 Towards stochastic continuum thermodynamics. Zbl 1034.82030Ostoja-Starzewski, Martin 6 2002 Mechanics of random and multiscale microstructures. Zbl 0984.00031Jeulin, Dominique (ed.); Ostoja-Starzewski, Martin (ed.) 6 2001 A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 5 2017 Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects. Zbl 1341.74102Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 5 2014 Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M. 5 2001 Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 07064144Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N. 4 2016 Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 4 2016 Random fiber networks and special elastic orthotropy of paper. Zbl 1033.74009Ostoja-Starzewski, Martin; Stahl, Douglas C. 4 2000 Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids. Zbl 0719.73047Ostoja-Starzewski, M.; Wang, C. 4 1990 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. 3 2016 Harmonic oscillator driven by random processes having fractal and Hurst effects. Zbl 1359.60053Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 3 2015 Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 3 2015 Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021Ostoja-Starzewski, M.; Zubelewicz, A. 3 2011 Fractal solids, product measures and continuum mechanics. Zbl 1396.74049Li, Jun; Ostoja-Starzewski, Martin 3 2010 Random formation, inelastic response and scale effects in paper. Zbl 1134.74352Ostoja-Starzewski, Martin; Castro, Jaime 3 2003 Mechanics of random materials. Stochastics, scale effects and computation. Zbl 1017.74005Ostoja-Starzewski, M. 3 2001 Tensor-valued random fields for continuum physics. Zbl 1402.60002Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 2 2019 Tensor random fields in conductivity and classical or microcontinuum theories. Zbl 1327.74017Ostoja-Starzewski, Martin; Shen, Lihua; Malyarenko, Anatoliy 2 2015 Scaling and homogenization in spatially random composites. Zbl 1302.74009Ostoja-Starzewski, Martin; Ranganathan, Shivakumar I. 2 2014 Stochastic finite elements: where is the physics? Zbl 1313.74108Ostoja-Starzewski, Martin 2 2011 Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008Joumaa, Hady; Ostoja-Starzewski, Martin 2 2011 On the geodesic property of strain field patterns in elastoplastic composites. Zbl 1138.74017Jeulin, Dominique; Li, Wei; Ostoja-Starzewski, Martin 2 2008 Spectral finite element of a helix. Zbl 1158.74500Shahsavari, H.; Ostoja-Starzewski, M. 2 2005 On the distance to blow-up of acceleration waves in random media. Zbl 1056.74040Ostoja-Starzewski, Martin; Trȩbicki, Jerzy 2 2003 Particle sieving in a random fiber network. Zbl 0994.90012Castro, Jaime; Ostoja-Starzewski, Martin 2 2000 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 Bounds on constitutive response for a class of random material microstructures. Zbl 0728.73100Ostoja-Starzewski, M. 2 1990 Probabilistic approach to the wave propagation in structured solids. Zbl 0553.73005Axelrad, D. R.; Ostoja-Starzewski, M. 2 1984 Stress wave propagation in discrete random solids. Zbl 0547.73022Ostoja-Starzewski, Martin 2 1984 Ignaczak equation of elastodynamics. Zbl 07273388Ostoja-Starzewski, Martin 1 2019 Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 07149107Zhang, Dansong; Ostoja-Starzewski, Martin 1 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 1 2019 On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin 1 2019 Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 1 2018 Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod. Zbl 1384.74023Le Marrec, Loïc; Zhang, Dansong; Ostoja-Starzewski, Martin 1 2018 Acceleration waves on random fields with fractal and Hurst effects. Zbl 07213195Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 1 2017 Erratum to: “Second law violations, continuum mechanics, and permeability”. Zbl 1365.80005Ostoja-Starzewski, Martin 1 2017 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 Elastodynamics in micropolar fractal solids. Zbl 1302.74124Joumaa, Hady; Ostoja-Starzewski, Martin; Demmie, Paul 1 2014 Viscothermoelasticity with finite wave speeds: thermomechanical laws. Zbl 1401.74056Ostoja-Starzewski, Martin 1 2014 Shock waves in random viscoelastic media. Zbl 1401.74159Ostoja-Starzewski, Martin; Costa, Luis 1 2012 Fractals in elastic-hardening plastic materials. Zbl 1195.74144Li, J.; Ostoja-Starzewski, M. 1 2010 MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099Chen, Ying; Ostoja-Starzewski, Martin 1 2010 Dedication. Zbl 1168.01343Ostoja-Starzewski, Martin; Nesterenko, Vitali F. 1 2009 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 Selected topics in stochastic wave propagation. Zbl 1089.74031Ostoja-Starzewski, M. 1 2003 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 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 a class of random microstructures. I: Bilinear elastic grains. Zbl 0749.73025Ostoja-Starzewski, Martin 1 1991 A generalization of thermodynamic orthogonality to random media. Zbl 0727.73006Ostoja-Starzewski, Martin 1 1990 Wavefront propagation in discrete random media via stochastic Huygens’ minor principle. Zbl 0664.73010Ostoja-Starzewski, M. 1 1989 Damage in a random microstructure: Size effects, fractals, and entropy maximization. Zbl 0825.73528Ostoja-Starzewski, Martin 1 1989 Tensor-valued random fields for continuum physics. Zbl 1402.60002Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 2 2019 Ignaczak equation of elastodynamics. Zbl 07273388Ostoja-Starzewski, Martin 1 2019 Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 07149107Zhang, Dansong; Ostoja-Starzewski, Martin 1 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 1 2019 On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin 1 2019 Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 1 2018 Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod. Zbl 1384.74023Le Marrec, Loïc; Zhang, Dansong; Ostoja-Starzewski, Martin 1 2018 A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 5 2017 Acceleration waves on random fields with fractal and Hurst effects. Zbl 07213195Nishawala, Vinesh V.; Ostoja-Starzewski, Martin 1 2017 Erratum to: “Second law violations, continuum mechanics, and permeability”. Zbl 1365.80005Ostoja-Starzewski, Martin 1 2017 Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 07064144Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N. 4 2016 Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 4 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. 3 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 3 2015 Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio 3 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. 10 2014 Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061Malyarenko, Anatoliy; Ostoja-Starzewski, Martin 6 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 5 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 1 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 6 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 13 2011 Waves in fractal media. Zbl 1311.74057Demmie, Paul N.; Ostoja-Starzewski, Martin 12 2011 Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019Ostoja-Starzewski, Martin 8 2011 On the wave propagation in isotropic fractal media. Zbl 1291.74094Joumaa, Hady; Ostoja-Starzewski, Martin 8 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 Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021Ostoja-Starzewski, M.; Zubelewicz, A. 3 2011 Stochastic finite elements: where is the physics? Zbl 1313.74108Ostoja-Starzewski, Martin 2 2011 Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008Joumaa, Hady; Ostoja-Starzewski, Martin 2 2011 Thermoelasticity with finite wave speeds. Zbl 1183.80001Ignaczak, Jósef; Ostoja-Starzewski, Martin 105 2010 Fractal solids, product measures and continuum mechanics. Zbl 1396.74049Li, Jun; Ostoja-Starzewski, Martin 3 2010 Fractals in elastic-hardening plastic materials. Zbl 1195.74144Li, J.; Ostoja-Starzewski, M. 1 2010 MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099Chen, Ying; Ostoja-Starzewski, Martin 1 2010 Fractal solids, product measures and fractional wave equations. Zbl 1186.74011Li, Jun; Ostoja-Starzewski, Martin 25 2009 Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017Ostoja-Starzewski, Martin 14 2009 A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005Ostoja-Starzewski, Martin 12 2009 Fractal materials, beams, and fracture mechanics. Zbl 1319.74002Ostoja-Starzewski, Martin; Li, Jun 12 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 50 2008 Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin 18 2008 On turbulence in fractal porous media. Zbl 1304.76024Ostoja-Starzewski, Martin 11 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 19 2007 Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072Wang, G.; Ostoja-Starzewski, M. 11 2007 On the size of RVE in finite elasticity of random composites. Zbl 1104.74008Khisaeva, Z. F.; Ostoja-Starzewski, M. 24 2006 On the size of representative volume element for Darcy law in random media. Zbl 1149.76669Du, X.; Ostoja-Starzewski, M. 13 2006 Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388Khisaeva, Z. F.; Ostoja-Starzewski, M. 8 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 12 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. 66 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 6 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. 11 2001 Mechanics of random and multiscale microstructures. Zbl 0984.00031Jeulin, Dominique (ed.); Ostoja-Starzewski, Martin (ed.) 6 2001 Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M. 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 2 2000 Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona 18 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. 31 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 Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. Zbl 0711.73275Ostoja-Starzewski, M.; Wang, C. 9 1989 Wavefront propagation in discrete random media via stochastic Huygens’ minor principle. Zbl 0664.73010Ostoja-Starzewski, M. 1 1989 Damage in a random microstructure: Size effects, fractals, and entropy maximization. Zbl 0825.73528Ostoja-Starzewski, Martin 1 1989 Graph approach to the constitutive modelling of heterogeneous solids. Zbl 0635.73007Ostoja-Starzewski, M. 7 1987 Probabilistic approach to the wave propagation in structured solids. Zbl 0553.73005Axelrad, D. R.; Ostoja-Starzewski, M. 2 1984 Stress wave propagation in discrete random solids. Zbl 0547.73022Ostoja-Starzewski, Martin 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 815 Authors 50 Ostoja-Starzewski, Martin 15 Quintanilla de Latorre, Ramón 11 Mukhopadhyay, Santwana 10 Guilleminot, Johann 9 Soize, Christian 9 Tarasov, Vasily E. 8 Han, Zhongjie 8 Singh, Baljeet 7 Geers, Marc G. D. 7 Jordan, Pedro M. 7 Povstenko, Yuriy Z. 7 Xu, Gen-Qi 6 Ibrahimbegović, Adnan 6 Kamiński, Marcin Marek 5 Chen, Wen 5 Javili, Ali 5 Li, Jun 5 Malyarenko, Anatoliy A. 5 Porcu, Emilio 5 Ranganathan, Shivakumar I. 5 Steinmann, Paul 5 Straughan, Brian 4 Brekelmans, W. A. M. 4 Gupta, Manushi 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 Wang, Guoyu 3 Abedi, Reza 3 Ahmad, Bashir 3 Al-Ostaz, Ahmed 3 Al-saedi, Ahmed Eid Salem 3 Alzebdeh, Khalid I. 3 André, Damien 3 Babuška, Ivo 3 Balankin, Alexander S. 3 Biswas, Siddhartha Sankar 3 Cartraud, Patrice 3 Chen, Wei 3 Costa, Luís Henrique M. K. 3 Demmie, Paul N. 3 Deswal, Sunita 3 El-Nabulsi, Rami Ahmad 3 Firooz, Soheil 3 Fish, Jacob 3 Ganghoffer, Jean-François 3 Huang, Biao 3 Kalkal, Kapil Kumar 3 Larsson, Fredrik 3 Legrain, Gregory 3 Liang, Naigang 3 Liu, Jinxing 3 Ma, Juan 3 Matouš, Karel 3 McDowell, David L. 3 Nguyen, Van-Dung 3 Nikolić, Mijo 3 Nishawala, Vinesh V. 3 Peerlings, Ron H. J. 3 Picu, R. Catalin 3 Runesson, Kenneth 3 Seppecher, Pierre 3 Shivay, Om Namha 3 Tian, Xiaogeng 3 Wang, Fajie 3 Wriggers, Peter 3 Wu, Ling 2 Abdoul-Anziz, Houssam 2 Acton, Katherine A. 2 Aifantis, Elias C. 2 Alekseev, Alexander A. 2 Ashida, Fumihiro 2 Askes, Harm 2 Bahmani, Bahador 2 Băleanu, Dumitru I. 2 Beex, Lars A. A. 2 Berezovski, Arkadi 2 Berryman, James G. 2 Bhattacharyya, Rabindra Kumar 2 Binétruy, Christophe 2 Böhlke, Thomas 2 Buryachenko, Valeriy A. 2 Bustamante, Roger 2 Challamel, Noël 2 Charles, Jean-Luc 2 Chatzigeorgiou, George 2 Chen, Yaxiong 2 Cheng, Alexander H.-D. 2 Chinesta, Francisco 2 Chiriţă, Stan 2 Christov, Christo Ivanov 2 Christov, Ivan C. 2 Ciarletta, Michele 2 Clarke, Philip L. 2 Cottereau, Régis ...and 715 more Authors all top 5 Cited in 100 Serials 56 Computer Methods in Applied Mechanics and Engineering 46 Acta Mechanica 24 European Journal of Mechanics. A. Solids 22 Mathematics and Mechanics of Solids 21 International Journal for Numerical Methods in Engineering 19 Computational Mechanics 16 Journal of Elasticity 15 International Journal of Solids and Structures 15 Journal of the Mechanics and Physics of Solids 12 International Journal of Engineering Science 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 Continuum Mechanics and Thermodynamics 10 Applied Mathematical Modelling 9 Meccanica 8 Wave Motion 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Acta Mechanica Sinica 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Chaos, Solitons and Fractals 4 Engineering Analysis with Boundary Elements 4 Mathematical Problems in Engineering 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 4 SIAM/ASA Journal on Uncertainty Quantification 3 Applicable Analysis 3 International Journal of Plasticity 3 Journal of the Franklin Institute 3 Journal of Statistical Physics 3 Physics Letters. A 3 International Journal of Computational Methods 3 International Journal of Fracture 3 Evolution Equations and Control Theory 3 Proceedings of the Royal Society of London. A. 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Fluids 2 Engineering Computations 2 Lobachevskii Journal of Mathematics 2 Structural and Multidisciplinary Optimization 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 Physica A 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 Applied Mathematics Letters 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Non-Equilibrium Thermodynamics 1 International Applied Mechanics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Fractals 1 Bernoulli 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Chaos 1 Stochastic Environmental Research and Risk Assessment 1 Sādhanā 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 Granular Matter 1 Waves in Random and Complex Media 1 Journal of Zhejiang University. Science A 1 Applications and Applied Mathematics 1 Journal of Fixed Point Theory and Applications 1 Nonlinear Analysis. Hybrid Systems 1 Advances in High Energy Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Science China. 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Razmadze Mathematical Institute 1 Journal of Applied Mathematics and Computational Mechanics all top 5 Cited in 38 Fields 384 Mechanics of deformable solids (74-XX) 69 Partial differential equations (35-XX) 47 Fluid mechanics (76-XX) 46 Numerical analysis (65-XX) 43 Classical thermodynamics, heat transfer (80-XX) 21 Measure and integration (28-XX) 18 Probability theory and stochastic processes (60-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Real functions (26-XX) 11 Biology and other natural sciences (92-XX) 10 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 8 Statistics (62-XX) 7 Optics, electromagnetic theory (78-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-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 Differential geometry (53-XX) 1 Computer science (68-XX) 1 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year