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Ostoja-Starzewski, Martin

Author ID: ostoja-starzewski.martin Recent zbMATH articles by "Ostoja-Starzewski, Martin"
Published as: Ostoja-Starzewski, Martin; Ostoja-Starzewski, M.
Homepage: http://martinos.mechanical.illinois.edu/
External Links: ResearchGate
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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

Publications by Year

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 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
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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
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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