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## Ostoja-Starzewski, Martin

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 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
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#### 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
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

97 Publications have been cited 787 times in 489 Documents Cited by Year
Thermoelasticity with finite wave speeds. Zbl 1183.80001
Ignaczak, Jósef; Ostoja-Starzewski, Martin
2010
Microstructural randomness versus representative volume element in thermomechanics. Zbl 1110.74611
Ostoja-Starzewski, M.
2002
Microstructural randomness and scaling in mechanics of materials. Zbl 1148.74002
Ostoja-Starzewski, Martin
2008
Random field models of heterogeneous materials. Zbl 0967.74513
Ostoja-Starzewski, M.
1998
Fractal solids, product measures and fractional wave equations. Zbl 1186.74011
Li, Jun; Ostoja-Starzewski, Martin
2009
On the size of RVE in finite elasticity of random composites. Zbl 1104.74008
Khisaeva, Z. F.; Ostoja-Starzewski, M.
2006
A micromechanically based couple-stress model of an elastic two-phase composite. Zbl 1003.74006
Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin
2001
Towards thermomechanics of fractal media. Zbl 1126.74004
Ostoja-Starzewski, Martin
2007
Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410
Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin
2008
Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049
Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona
1999
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
2002
Apparent elastic and elastoplastic behavior of periodic composites. Zbl 1090.74556
Jiang, M.; Jasiuk, I.; Ostoja-Starzewski, M.
2002
Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017
Ostoja-Starzewski, Martin
2009
Micropolar continuum mechanics of fractal media. Zbl 1423.74040
Li, Jun; Ostoja-Starzewski, Martin
2011
On the size of representative volume element for Darcy law in random media. Zbl 1149.76669
Du, X.; Ostoja-Starzewski, M.
2006
Waves in fractal media. Zbl 1311.74057
Demmie, Paul N.; Ostoja-Starzewski, Martin
2011
A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005
Ostoja-Starzewski, Martin
2009
Fractal materials, beams, and fracture mechanics. Zbl 1319.74002
Ostoja-Starzewski, Martin; Li, Jun
2009
Scale effects in plasticity of random media: status and challenges. Zbl 1154.74316
Ostoja-Starzewski, Martin
2005
Stress invariance in planar Cosserat elasticity. Zbl 0879.73005
Ostoja-Starzewski, Martin; Jasiuk, Iwona
1995
On turbulence in fractal porous media. Zbl 1304.76024
Ostoja-Starzewski, Martin
2008
Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072
Wang, G.; Ostoja-Starzewski, M.
2007
Scale-dependent bounds on effective elastoplastic response of random composites. Zbl 1001.74097
Jiang, M.; Ostoja-Starzewski, M.; Jasiuk, I.
2001
On the growth and decay of acceleration waves in random media. Zbl 0941.74027
Ostoja-Starzewski, Martin; Trȩbicki, Jerzy
1999
From fractal media to continuum mechanics. Zbl 1302.74011
Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N.
2014
Stochastic finite elements as a bridge between random material microstructure and global response. Zbl 0957.74055
Ostoja-Starzewski, M.; Wang, X.
1999
Microstructural disorder, mesoscale finite elements and macroscopic response. Zbl 0956.74010
Ostoja-Starzewski, Martin
1999
Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. Zbl 0711.73275
Ostoja-Starzewski, M.; Wang, C.
1989
Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019
Ostoja-Starzewski, Martin
2011
On the wave propagation in isotropic fractal media. Zbl 1291.74094
2011
Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388
Khisaeva, Z. F.; Ostoja-Starzewski, M.
2006
On the scaling from statistical to representative volume element in thermoelasticity of random materials. Zbl 1204.74006
Du, Xiangdong; Ostoja-Starzewski, Martin
2006
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
2011
Fracture of random matrix-inclusion composites: Scale effects and statistics. Zbl 0962.74535
Alzebdeh, K.; Al-Ostaz, A.; Jasiuk, I.; Ostoja-Starzewski, M.
1998
Graph approach to the constitutive modelling of heterogeneous solids. Zbl 0635.73007
Ostoja-Starzewski, M.
1987
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2014
Electromagnetism on anisotropic fractal media. Zbl 1276.78002
Ostoja-Starzewski, Martin
2013
Towards scaling laws in random polycrystals. Zbl 1213.74035
Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin
2009
Elasto-plasticity of paper. Zbl 1075.74019
Castro, Jaime; Ostoja-Starzewski, Martin
2003
Towards stochastic continuum thermodynamics. Zbl 1034.82030
Ostoja-Starzewski, Martin
2002
Mechanics of random and multiscale microstructures. Zbl 0984.00031
Jeulin, Dominique (ed.); Ostoja-Starzewski, Martin (ed.)
2001
A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2017
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
2014
Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047
Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M.
2001
Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 07064144
Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N.
2016
Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2016
Random fiber networks and special elastic orthotropy of paper. Zbl 1033.74009
Ostoja-Starzewski, Martin; Stahl, Douglas C.
2000
Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids. Zbl 0719.73047
Ostoja-Starzewski, M.; Wang, C.
1990
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.
2016
Harmonic oscillator driven by random processes having fractal and Hurst effects. Zbl 1359.60053
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
2015
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
2015
Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021
Ostoja-Starzewski, M.; Zubelewicz, A.
2011
Fractal solids, product measures and continuum mechanics. Zbl 1396.74049
Li, Jun; Ostoja-Starzewski, Martin
2010
Random formation, inelastic response and scale effects in paper. Zbl 1134.74352
Ostoja-Starzewski, Martin; Castro, Jaime
2003
Mechanics of random materials. Stochastics, scale effects and computation. Zbl 1017.74005
Ostoja-Starzewski, M.
2001
Tensor-valued random fields for continuum physics. Zbl 1402.60002
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2019
Tensor random fields in conductivity and classical or microcontinuum theories. Zbl 1327.74017
Ostoja-Starzewski, Martin; Shen, Lihua; Malyarenko, Anatoliy
2015
Scaling and homogenization in spatially random composites. Zbl 1302.74009
Ostoja-Starzewski, Martin; Ranganathan, Shivakumar I.
2014
Stochastic finite elements: where is the physics? Zbl 1313.74108
Ostoja-Starzewski, Martin
2011
Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008
2011
On the geodesic property of strain field patterns in elastoplastic composites. Zbl 1138.74017
Jeulin, Dominique; Li, Wei; Ostoja-Starzewski, Martin
2008
Spectral finite element of a helix. Zbl 1158.74500
Shahsavari, H.; Ostoja-Starzewski, M.
2005
On the distance to blow-up of acceleration waves in random media. Zbl 1056.74040
Ostoja-Starzewski, Martin; Trȩbicki, Jerzy
2003
Particle sieving in a random fiber network. Zbl 0994.90012
Castro, Jaime; Ostoja-Starzewski, Martin
2000
Linear elasticity of planar Delaunay networks. III: Self-consistent approximations. Zbl 0852.73006
Ostoja-Starzewski, M.; Alzebdeh, K.; Jasiuk, I.
1995
Micromechanically based stochastic finite elements. Zbl 0800.73446
Alzebdeh, K.; Ostoja-Starzewski, M.
1993
Bounds on constitutive response for a class of random material microstructures. Zbl 0728.73100
Ostoja-Starzewski, M.
1990
Probabilistic approach to the wave propagation in structured solids. Zbl 0553.73005
1984
Stress wave propagation in discrete random solids. Zbl 0547.73022
Ostoja-Starzewski, Martin
1984
Ignaczak equation of elastodynamics. Zbl 07273388
Ostoja-Starzewski, Martin
2019
Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 07149107
Zhang, Dansong; Ostoja-Starzewski, Martin
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
2019
On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044
Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin
2019
Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
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
2018
Acceleration waves on random fields with fractal and Hurst effects. Zbl 07213195
Nishawala, Vinesh V.; Ostoja-Starzewski, Martin
2017
Erratum to: “Second law violations, continuum mechanics, and permeability”. Zbl 1365.80005
Ostoja-Starzewski, Martin
2017
Frequency-dependent scaling from mesoscale to macroscale in viscoelastic random composites. Zbl 1371.74014
Zhang, Jun; Ostoja-Starzewski, Martin
2016
Second law violations, continuum mechanics, and permeability. Zbl 1348.80003
Ostoja-Starzewski, Martin
2016
Elastodynamics in micropolar fractal solids. Zbl 1302.74124
Joumaa, Hady; Ostoja-Starzewski, Martin; Demmie, Paul
2014
Viscothermoelasticity with finite wave speeds: thermomechanical laws. Zbl 1401.74056
Ostoja-Starzewski, Martin
2014
Shock waves in random viscoelastic media. Zbl 1401.74159
Ostoja-Starzewski, Martin; Costa, Luis
2012
Fractals in elastic-hardening plastic materials. Zbl 1195.74144
Li, J.; Ostoja-Starzewski, M.
2010
MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099
Chen, Ying; Ostoja-Starzewski, Martin
2010
Dedication. Zbl 1168.01343
Ostoja-Starzewski, Martin; Nesterenko, Vitali F.
2009
Brief notes. On the admissibility of an isotropic, smooth elastic continuum. Zbl 1105.74002
Ostoja-Starzewski, M.
2005
Fracture of brittle microbeams. Zbl 1111.74584
Ostoja-Starzewski, M.
2004
Selected topics in stochastic wave propagation. Zbl 1089.74031
Ostoja-Starzewski, M.
2003
Michell trusses in the presence of microscale material randomness: limitation of optimality. Zbl 1090.74042
Ostoja-Starzewski, M.
2001
On geometric acoustics in random, locally anisotropic media. Zbl 1001.74059
Ostoja-Starzewski, Martin
2001
Random field models and scaling laws of heterogeneous media. Zbl 0961.74003
Ostoja-Starzewski, M.
1998
The Cauchy and characteristic boundary value problems of random rigid-perfectly plastic media. Zbl 0926.74022
Ostoja-Starzewski, M.; Ilies, H.
1996
Micromechanically based constitutive laws and random fields in solid mechanics: Elasticity, plasticity, and fracture. Zbl 1045.74500
Ostoja-Starzewski, Martin
1996
Wavefront propagation in a class of random microstructures. I: Bilinear elastic grains. Zbl 0749.73025
Ostoja-Starzewski, Martin
1991
A generalization of thermodynamic orthogonality to random media. Zbl 0727.73006
Ostoja-Starzewski, Martin
1990
Wavefront propagation in discrete random media via stochastic Huygens’ minor principle. Zbl 0664.73010
Ostoja-Starzewski, M.
1989
Damage in a random microstructure: Size effects, fractals, and entropy maximization. Zbl 0825.73528
Ostoja-Starzewski, Martin
1989
Tensor-valued random fields for continuum physics. Zbl 1402.60002
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2019
Ignaczak equation of elastodynamics. Zbl 07273388
Ostoja-Starzewski, Martin
2019
Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element. Zbl 07149107
Zhang, Dansong; Ostoja-Starzewski, Martin
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
2019
On the hydrodynamic stability of a Lennard-Jones molecular fluid. Zbl 1448.82044
Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin
2019
Random fields related to the symmetry classes of second-order symmetric tensors. Zbl 1423.60084
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
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
2018
A random field formulation of Hooke’s law in all elasticity classes. Zbl 1418.60046
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
2017
Acceleration waves on random fields with fractal and Hurst effects. Zbl 07213195
Nishawala, Vinesh V.; Ostoja-Starzewski, Martin
2017
Erratum to: “Second law violations, continuum mechanics, and permeability”. Zbl 1365.80005
Ostoja-Starzewski, Martin
2017
Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments. Zbl 07064144
Nishawala, Vinesh V.; Ostoja-Starzewski, Martin; Leamy, Michael J.; Demmie, Paul N.
2016
Spectral expansions of homogeneous and isotropic tensor-valued random fields. Zbl 1348.60077
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
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.
2016
Frequency-dependent scaling from mesoscale to macroscale in viscoelastic random composites. Zbl 1371.74014
Zhang, Jun; Ostoja-Starzewski, Martin
2016
Second law violations, continuum mechanics, and permeability. Zbl 1348.80003
Ostoja-Starzewski, Martin
2016
Harmonic oscillator driven by random processes having fractal and Hurst effects. Zbl 1359.60053
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
2015
Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations. Zbl 1321.34077
Shen, Lihua; Ostoja-Starzewski, Martin; Porcu, Emilio
2015
Tensor random fields in conductivity and classical or microcontinuum theories. Zbl 1327.74017
Ostoja-Starzewski, Martin; Shen, Lihua; Malyarenko, Anatoliy
2015
From fractal media to continuum mechanics. Zbl 1302.74011
Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N.
2014
Statistically isotropic tensor random fields: correlation structures. Zbl 1317.60061
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin
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
2014
Scaling and homogenization in spatially random composites. Zbl 1302.74009
Ostoja-Starzewski, Martin; Ranganathan, Shivakumar I.
2014
Elastodynamics in micropolar fractal solids. Zbl 1302.74124
Joumaa, Hady; Ostoja-Starzewski, Martin; Demmie, Paul
2014
Viscothermoelasticity with finite wave speeds: thermomechanical laws. Zbl 1401.74056
Ostoja-Starzewski, Martin
2014
Electromagnetism on anisotropic fractal media. Zbl 1276.78002
Ostoja-Starzewski, Martin
2013
Shock waves in random viscoelastic media. Zbl 1401.74159
Ostoja-Starzewski, Martin; Costa, Luis
2012
Micropolar continuum mechanics of fractal media. Zbl 1423.74040
Li, Jun; Ostoja-Starzewski, Martin
2011
Waves in fractal media. Zbl 1311.74057
Demmie, Paul N.; Ostoja-Starzewski, Martin
2011
Macrohomogeneity condition in dynamics of micropolar media. Zbl 1271.74019
Ostoja-Starzewski, Martin
2011
On the wave propagation in isotropic fractal media. Zbl 1291.74094
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
2011
Powerless fluxes and forces, and change of scale in irreversible thermodynamics. Zbl 1226.82021
Ostoja-Starzewski, M.; Zubelewicz, A.
2011
Stochastic finite elements: where is the physics? Zbl 1313.74108
Ostoja-Starzewski, Martin
2011
Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity. Zbl 1237.74008
2011
Thermoelasticity with finite wave speeds. Zbl 1183.80001
Ignaczak, Jósef; Ostoja-Starzewski, Martin
2010
Fractal solids, product measures and continuum mechanics. Zbl 1396.74049
Li, Jun; Ostoja-Starzewski, Martin
2010
Fractals in elastic-hardening plastic materials. Zbl 1195.74144
Li, J.; Ostoja-Starzewski, M.
2010
MRI-based finite element modeling of head trauma: spherically focusing shear waves. Zbl 1320.74099
Chen, Ying; Ostoja-Starzewski, Martin
2010
Fractal solids, product measures and fractional wave equations. Zbl 1186.74011
Li, Jun; Ostoja-Starzewski, Martin
2009
Extremum and variational principles for elastic and inelastic media with fractal geometries. Zbl 1167.74017
Ostoja-Starzewski, Martin
2009
A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Zbl 1213.80005
Ostoja-Starzewski, Martin
2009
Fractal materials, beams, and fracture mechanics. Zbl 1319.74002
Ostoja-Starzewski, Martin; Li, Jun
2009
Towards scaling laws in random polycrystals. Zbl 1213.74035
Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin
2009
Dedication. Zbl 1168.01343
Ostoja-Starzewski, Martin; Nesterenko, Vitali F.
2009
Microstructural randomness and scaling in mechanics of materials. Zbl 1148.74002
Ostoja-Starzewski, Martin
2008
Scaling function, anisotropy and the size of RVE in elastic random polycrystals. Zbl 1171.74410
Ranganathan, Shivakumar I.; Ostoja-Starzewski, Martin
2008
On turbulence in fractal porous media. Zbl 1304.76024
Ostoja-Starzewski, Martin
2008
On the geodesic property of strain field patterns in elastoplastic composites. Zbl 1138.74017
Jeulin, Dominique; Li, Wei; Ostoja-Starzewski, Martin
2008
Towards thermomechanics of fractal media. Zbl 1126.74004
Ostoja-Starzewski, Martin
2007
Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil. Zbl 1197.76072
Wang, G.; Ostoja-Starzewski, M.
2007
On the size of RVE in finite elasticity of random composites. Zbl 1104.74008
Khisaeva, Z. F.; Ostoja-Starzewski, M.
2006
On the size of representative volume element for Darcy law in random media. Zbl 1149.76669
Du, X.; Ostoja-Starzewski, M.
2006
Mesoscale bounds in finite elasticity and thermoelasticity of random composites. Zbl 1149.74388
Khisaeva, Z. F.; Ostoja-Starzewski, M.
2006
On the scaling from statistical to representative volume element in thermoelasticity of random materials. Zbl 1204.74006
Du, Xiangdong; Ostoja-Starzewski, Martin
2006
Scale effects in plasticity of random media: status and challenges. Zbl 1154.74316
Ostoja-Starzewski, Martin
2005
Spectral finite element of a helix. Zbl 1158.74500
Shahsavari, H.; Ostoja-Starzewski, M.
2005
Brief notes. On the admissibility of an isotropic, smooth elastic continuum. Zbl 1105.74002
Ostoja-Starzewski, M.
2005
Fracture of brittle microbeams. Zbl 1111.74584
Ostoja-Starzewski, M.
2004
Elasto-plasticity of paper. Zbl 1075.74019
Castro, Jaime; Ostoja-Starzewski, Martin
2003
Random formation, inelastic response and scale effects in paper. Zbl 1134.74352
Ostoja-Starzewski, Martin; Castro, Jaime
2003
On the distance to blow-up of acceleration waves in random media. Zbl 1056.74040
Ostoja-Starzewski, Martin; Trȩbicki, Jerzy
2003
Selected topics in stochastic wave propagation. Zbl 1089.74031
Ostoja-Starzewski, M.
2003
Microstructural randomness versus representative volume element in thermomechanics. Zbl 1110.74611
Ostoja-Starzewski, M.
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
2002
Apparent elastic and elastoplastic behavior of periodic composites. Zbl 1090.74556
Jiang, M.; Jasiuk, I.; Ostoja-Starzewski, M.
2002
Towards stochastic continuum thermodynamics. Zbl 1034.82030
Ostoja-Starzewski, Martin
2002
A micromechanically based couple-stress model of an elastic two-phase composite. Zbl 1003.74006
Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin
2001
Scale-dependent bounds on effective elastoplastic response of random composites. Zbl 1001.74097
Jiang, M.; Ostoja-Starzewski, M.; Jasiuk, I.
2001
Mechanics of random and multiscale microstructures. Zbl 0984.00031
Jeulin, Dominique (ed.); Ostoja-Starzewski, Martin (ed.)
2001
Scale and boundary conditions effects on elastic properties of random composites. Zbl 1015.74047
Jiang, M.; Alzebdeh, K.; Jasiuk, I.; Ostoja-Starzewski, M.
2001
Mechanics of random materials. Stochastics, scale effects and computation. Zbl 1017.74005
Ostoja-Starzewski, M.
2001
Michell trusses in the presence of microscale material randomness: limitation of optimality. Zbl 1090.74042
Ostoja-Starzewski, M.
2001
On geometric acoustics in random, locally anisotropic media. Zbl 1001.74059
Ostoja-Starzewski, Martin
2001
Random fiber networks and special elastic orthotropy of paper. Zbl 1033.74009
Ostoja-Starzewski, Martin; Stahl, Douglas C.
2000
Particle sieving in a random fiber network. Zbl 0994.90012
Castro, Jaime; Ostoja-Starzewski, Martin
2000
Couple-stress moduli and characteristic length of a two-phase composite. Zbl 0954.74049
Ostoja-Starzewski, Martin; Boccara, Stéphane D.; Jasiuk, Iwona
1999
On the growth and decay of acceleration waves in random media. Zbl 0941.74027
Ostoja-Starzewski, Martin; Trȩbicki, Jerzy
1999
Stochastic finite elements as a bridge between random material microstructure and global response. Zbl 0957.74055
Ostoja-Starzewski, M.; Wang, X.
1999
Microstructural disorder, mesoscale finite elements and macroscopic response. Zbl 0956.74010
Ostoja-Starzewski, Martin
1999
Random field models of heterogeneous materials. Zbl 0967.74513
Ostoja-Starzewski, M.
1998
Fracture of random matrix-inclusion composites: Scale effects and statistics. Zbl 0962.74535
Alzebdeh, K.; Al-Ostaz, A.; Jasiuk, I.; Ostoja-Starzewski, M.
1998
Random field models and scaling laws of heterogeneous media. Zbl 0961.74003
Ostoja-Starzewski, M.
1998
The Cauchy and characteristic boundary value problems of random rigid-perfectly plastic media. Zbl 0926.74022
Ostoja-Starzewski, M.; Ilies, H.
1996
Micromechanically based constitutive laws and random fields in solid mechanics: Elasticity, plasticity, and fracture. Zbl 1045.74500
Ostoja-Starzewski, Martin
1996
Stress invariance in planar Cosserat elasticity. Zbl 0879.73005
Ostoja-Starzewski, Martin; Jasiuk, Iwona
1995
Linear elasticity of planar Delaunay networks. III: Self-consistent approximations. Zbl 0852.73006
Ostoja-Starzewski, M.; Alzebdeh, K.; Jasiuk, I.
1995
Micromechanically based stochastic finite elements. Zbl 0800.73446
Alzebdeh, K.; Ostoja-Starzewski, M.
1993
Wavefront propagation in a class of random microstructures. I: Bilinear elastic grains. Zbl 0749.73025
Ostoja-Starzewski, Martin
1991
Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids. Zbl 0719.73047
Ostoja-Starzewski, M.; Wang, C.
1990
Bounds on constitutive response for a class of random material microstructures. Zbl 0728.73100
Ostoja-Starzewski, M.
1990
A generalization of thermodynamic orthogonality to random media. Zbl 0727.73006
Ostoja-Starzewski, Martin
1990
Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. Zbl 0711.73275
Ostoja-Starzewski, M.; Wang, C.
1989
Wavefront propagation in discrete random media via stochastic Huygens’ minor principle. Zbl 0664.73010
Ostoja-Starzewski, M.
1989
Damage in a random microstructure: Size effects, fractals, and entropy maximization. Zbl 0825.73528
Ostoja-Starzewski, Martin
1989
Graph approach to the constitutive modelling of heterogeneous solids. Zbl 0635.73007
Ostoja-Starzewski, M.
1987
Probabilistic approach to the wave propagation in structured solids. Zbl 0553.73005
1984
Stress wave propagation in discrete random solids. Zbl 0547.73022
Ostoja-Starzewski, Martin
1984
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. Mathematical, Physical and Engineering Sciences 2 Journal of Theoretical and Applied Mechanics (Sofia) 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 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 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. Technological Sciences 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Mathematics and Mechanics of Complex Systems 1 International Journal of Applied and Computational Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Transactions of A. Razmadze Mathematical Institute 1 Journal of Applied Mathematics and Computational Mechanics
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#### 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)