Publications

Book Chapters

Journal Articles (also ResearchGate)

[1] Dynamics of a flexible cylinder in subsonic axial flow, with M.P. Païdoussis, AIAA Journal 19(11), 1467-1475, 1981.

[2] Probabilistic approach to wave propagation in structured solids, with D.R. Axelrad, Int. J. Eng. Sci. 22(8-10), 1123-1133, 1984.

[3] Rayleigh wave scattering by a wedge: A boundary method approach, Mech. Res. Comm. 13(1), 53-58, 1986.

[4] Propagation of Rayleigh, Scholte and Stoneley waves along random boundaries, Probab. Eng. Mech. 2(2), 64-73, 1987.

[5] Graph approach to the constitutive modelling of heterogeneous solids, Mech. Res. Comm. 14(4), 225-262, 1987.

[6] A master-slave manipulator for excavation and construction tasks, with M. Skibniewski, Int. J. Robotics and Autonomous Systems 4, 333-337, 1988/89.

[7] Wavefront propagation in discrete random media via stochastic Huygens’ minor principle, J. Franklin Inst. 326(2), 281-293, 1989.

[8] Mechanics of damage in a random granular microstructure: percolation of inelastic phases, Int. J. Eng. Sci. (Lett. Appl. Engng. Sci.) 27(3), 315-326, 1989.

[9] Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli, with C. Wang, Acta Mech. 80, 61-80, 1989.

[10] Damage in a random microstructure: Size effects, fractals, and entropy maximization, invited paper, Applied Mechanics Reviews (Special Issue: Mechanics Pan-America 1989, C.R. Steele, A.W. Leissa and M.R.M. Crespo da Silva, Eds.) 42(11, Part 2), S202-S212, 1989.

[11] Micromechanics model of ice fields – I: Microscale constitutive laws, with R.G. Jessup, Pure Appl. Geophys. 132(4), 781-802, 1990.

[12] Micromechanics model of ice fields – II: Monte Carlo simulation, Pure Appl. Geophys. 133(2), 229-249, 1990.

[13] Bounds on constitutive response for a class of random material microstructures, Comput. and Struct. 37, 163-167, 1990; also in Computational Technology for Flight Vehicles (A.K. Noor and S.L. Vennen, Eds.), Pergamon Press, 1990.

[14] Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids, with C. Wang, Acta Mech. 84, 47-61, 1990.

[15] A generalization of thermodynamic orthogonality to random media, J. Appl. Math. Phys. (ZAMP). 41, 701-712, 1990.

[16] Wavefront propagation in a class of random microstructures – I: Bilinear elastic grains, Intl. Journal of Non-Linear Mechanics 26, 655-669, 1991.

[17] Transient waves in a class of random heterogeneous media, invited paper, Applied Mechanics Reviews (Special Issue: Mechanics Pan-America 1991, P.A. Kittl and D.T. Mook, Eds.) 44(10, Part 2), S199-S209, 1991.

[18] Plastic flow of random media: micromechanics, Markov property and slip-lines, invited paper, Applied Mechanics Reviews (Special Issue: Material Instabilities, H.M. Zbib, T.G. Shawki and R.C. Batra, Eds.) 45(3, Part 2), S75-S82, 1992.

[19] Fabrication of two-dimensional micro-structures in Fe-3.25%Si Sheet, with M. Grah, K.J. Bowman, Scripta Metallurgica et Materialia 26(1), 429-434, 1992.

[20] Stochastic Hill’s equations for the study of errant rocket burns in orbit, with J.M. Longuski, Celest. Mech. & Dyn. Astronomy 54, 295-303, 1992.

[21] Random fields and processes in mechanics of granular materials, Mech. Mater. (Special Issue: Mechanics of Granular Materials) 16(1-2), 55-64, 1993.

[22] Micromechanics as a basis of random elastic continuum approximations, Probab. Eng. Mech. 8(2), 107-114, 1993.

[23] On the critical amplitudes of acceleration wave to shock wave transition in white-noise random media. J. Appl. Math. Phys. (ZAMP) 44, 865-879, 1993.

[24] Micromechanics as a basis of stochastic finite elements and differences – an overview, invited paper, Applied Mechanics Reviews (Special Issue: Mechanics Pan-America 1993, M.R.M. Crespo da Silva and C.E.N. Mazzilli, Eds.) 46(11, Part 2), S136-S147, 1993.

[25] Micromechanically based stochastic finite elements, with K. Alzebdeh, Finite Elements in Analysis and Design 15, 35-41, 1993.

[26] Micromechanics as a basis of continuum random fields, Applied Mechanics Reviews (Special Issue: Micromechanics of Random Media) 47(1, Part 2), S221-S230, 1994.

[27] Influence of random geometry on effective properties and damage formation in 2-D composites, with P.Y. Sheng and I. Jasiuk, ASME Journal of Engineering Materials and Technology 116, 384-391, 1994.

[28] Transition of acceleration waves into shock waves in random media, Applied Mechanics Reviews (Special Issue: Nonlinear Waves in Solids, J.L. Wegner and F.R. Norwood, Eds.) 48(1, Pt. 2), 300-308, 1995. AMR-1995.pdf

[29] Linear elasticity of planar Delaunay networks – III: Self-consistent approximations, with K. Alzebdeh and I. Jasiuk. Acta Mech. 110, 57-72, 1995.

[30] Wavefront propagation in a class of random microstructures – II: Nonlinear elastic grains. Intl. J. Non-Linear Mech. 30, 771-781, 1995.

[31] Stress invariance in planar Cosserat elasticity, with I. Jasiuk. Proc. Roy. Soc. Lond. – A 451, 453-470, 1995; Errata 452, 1503, 1995.

[32] Planar Cosserat elasticity of materials with holes and intrusions, with I. Jasiuk, invited paper, Applied Mechanics Reviews (Special Issue: Mechanics Pan-America 1995, L.A. Godoy, S.R. Idelsohn, P.A.A. Laura and D.T. Mook, Eds.) 48(11, Pt 2), S11-S18, 1995.

[33] Damage maps of disordered composites: a spring network approach, with J. D. Lee. Intl. J. Fracture 75, R51-R57, 1996.

[34] The Cauchy and characteristic boundary value problems for weakly random rigid-perfectly plastic media, with H. Ilies. Intl. J. Solids Struct. 33(8), 1119-1136, 1996.

[35] Composites with functionally graded interfaces: Meso-continuum concept and effective properties, with I. Jasiuk, W. Wang and K. Alzebdeh. Acta Mater. 44(5), 2057-2066, 1996.

[36] Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions, with J. Schulte. Phys. Rev. B 54, 278-285, 1996.

[37] Micromechanically based stochastic finite elements: length scales and anisotropy, with K. Alzebdeh, Probabilistic Engng. Mech. (Special Issue on Stochastic Structural Dynamics) 11, 205-214, 1996. PEM-1996

[38] Brittle intergranular failure in 2D microstructures: Experiments and computer simulations, with M. Grah, K. Alzebdeh, P.Y. Sheng, M.D. Vaudin, K.J. Bowman. Acta Mater. 44(10), 4003-4018, 1996.

[39] Spring network models in elasticity and fracture of composites and polycrystals, P.Y. Sheng and K. Alzebdeh. Comput. Mater. Sci. 7(1&2), 82-93, 1996.

[40] Damage patterns and constitutive response of random matrix-inclusion composites, with P.Y. Sheng and I. Jasiuk, Engineering Fracture Mechanics 58(5&6), 581-606, 1997.

[41] Random field models of heterogeneous materials. Intl. J. Solids Struct. 35, 2429-2455, 1998.

[42] Fracture of random matrix-inclusion composites: scale effects and statistics, with K. Alzebdeh, A. Al-Ostaz and I. Jasiuk. Intl. J. Solids Struct. 35, 2537-2566, 1998.

[43] Random field models and scaling laws of heterogeneous media, Arch. Mech. 50(3), 549-558, 1998.

[44] Paper strength: Statistics and correlation structure, with M. DiMillo. Intl. J. Fract. 90, L33-L38, 1998.

[45] Stochastic finite elements as a bridge between random material microstructure and global response, with X. Wang. Comp. Meth. Appl. Mech. Eng. 168(1-4), 35-49, 1999.

[46] On a spring network model and effective elastic moduli of granular materials, with K. Alzebdeh. ASME J. Appl. Mech. 66, 172-180, 1999.

[47] On the growth and decay of acceleration waves in random media, with J. Trebicki. Proc. Roy. Soc. Lond. – A 455, 2577-2614, 1999.

[48] Scale effects in materials with random distributions of needles or cracks. Mech. Mater. 31(12), 883-893, 1999.

[49] Microstructural disorder, mesoscale finite elements, and macroscopic response. Proc. Roy. Soc. Lond. – A 455, 3189-3199, 1999.

[50] Kinematics and stress transfer in quasi-planar random fiber networks, with M.B. Quadrelli and D.C. Stahl. C.R. Acad. Sci. Paris – IIb 327, 1223-1229, 1999.

[51] Couple-stress moduli and characteristic length of composite materials, with S. Boccara and I. Jasiuk, Mech. Res. Comm. 26(4), 387-396, 1999.

[52] A discussion of ‘Hybrid stochastic finite elements and generalized Monte Carlo simulation’ by R. Ghanem,” ASME J. Appl. Mech. 66, 824-825, 1999.

[53] Particle sieving by percolation through a random fiber network, with J. Castro. Appl. Math. Modelling 24, 523-534, 2000.

[54] Universal material property in conductivity of planar random microstructures. Phys. Rev. B 62(5), 2980-2982, 2000.

[55] Random fiber networks and special elastic orthotropy of paper, with D.C. Stahl. J. Elasticity 60, 131-149, 2000.

[56] A micromechanically based couple-stress model of an elastic two-phase composite, with F. Bouyge and I. Jasiuk. Intl. J. Solids. Struct. 38, 1721-1735, 2001.

[57] Scale and boundary conditions effects in elastic properties of random composites, with M. Jiang, K. Alzebdeh and I. Jasiuk. Acta Mech. 148, 63-78, 2001.

[58] Scale-dependent bounds on effective elastoplastic response of random composites, with M. Jiang and I. Jasiuk. J. Mech. Phys. Solids 49(3), 655-673, 2001.

[59] Michell trusses in the presence of microscale material randomness: limitation of optimality, Proc. Roy. Soc. Lond. – A 457, 1787-1797, 2001.

[60] Crack patterns in plates with randomly placed holes: A maximum entropy approach. Mech. Res. Comm. 28(2), 193-198, 2001.

[61] On geometric acoustics in random, locally anisotropic media. Continuum Mech. Thermodyn. 13, 131-134, 2001.

[62] Lattice models in micromechanics. Appl. Mech. Rev. 55(1), 35-60, 2002.

[63] Microstructural randomness versus representative volume element in thermomechanics. ASME J. Appl. Mech. 69, 25-35, 2002.

[64] Apparent elastic and elastoplastic behavior of periodic composites, with M. Jiang and I. Jasiuk. Intl. J. Solids Struct. 39(1), 199-212, 2002.

[65] A micromechanically based couple-stress model of an elastic orthotropic two-phase composite, with F. Bouyge, I. Jasiuk and S. Boccara. Europ. J. Mech./A: Solids 21(3), 465-481, 2002.

[66] Apparent thermal conductivity of periodic two-dimensional composites, with M. Jiang and I. Jasiuk. Comput. Mater. Sci. 25(3), 329-338, 2002.

[67] Bounds on mechanical response of multiphase composite materials with random structure, with J. Castro, ASME Southeastern Region XI Technical Journal, Special Inaugural Issue 1(1), 5.1-5.8, 2002.

[68] Towards stochastic continuum thermodynamics, J. Non-Equilib. Thermodyn. 27(4), 335-348, 2002.

[69] On the distance to blow-up of acceleration waves in random media, with J. Trebicki. Cont. Mech. Thermodyn. 15, 21-32, 2003.

[70] Random formation, inelastic response, and scale effects in paper, with J. Castro, Phil. Trans. Roy. Soc. Lond. A (special issue on ‘Micromechanics of Fluid Suspensions and Solid Composites‘), 361(1806), 965-986, 2003.

[71] Elasto-plasticity of paper, with J. Castro, Int. J. Plast. (in honour of Z. Mróz) 19(12), 2083-2098, 2003.

[72] Spectral finite elements for vibrating rods and beams with random field properties, A.N. Woods, J. Sound Vib. 268(1), 779-797, 2003.

[73] Thermoelastic waves in a helix with parabolic or hyperbolic heat conduction, J. Thermal Stresses 26, 1205-1219, 2003.

[74] On the reduction of constants in planar Cosserat elasticity with eigenstrains and eigencurvatures, with I. Jasiuk, J. Thermal Stresses 26, 1221-1228, 2003.

[75] Effects of microscale material randomness on the attainment of optimal structural shapes, with T. Liszka, Struct. Multidiscipl. Optimization 26(1-2), 67-76, 2004.

[76] Friction and scratch resistance of Polyamide 6 modified with ionomeric Ethylene/Methacrylic Acid Copolymer, with M. Jaklewicz, A. Litak, J. Appl. Polymer Sci. 91(6), 3866-3870, 2004.

[77] Fracture of brittle micro-beams, ASME J. Appl. Mech. 71, 424-427, 2004.

[78] A numerical study of plume dispersion motivated by a mesoscale atmospheric flow over a complex terrain, with G. Wang, Appl. Math. Modell. 28, 957-981 , 2004.

[79] Influence of topography on the Phoenix CO2 dome: a computational study, with G. Wang, Atmos. Sci. Lett. 5, 103-107, 2004.

[80] Modeling of bone at a single lamella level, with I. Jasiuk, Biomech. Modeling Mechanobiology 3, 67-74, 2004.

[81] Spectral finite element of a helix, with R. Shahsavari, Mech. Res. Comm. 32, 147-152, 2005.

[82] Scale effects in plasticity of random media: status and challenges, Intl. J. Plast. 21, 1119-1160, 2005.

[83] Particle modeling of dynamic fragmentation – I: Theoretical considerations, with G. Wang, Comput. Mater. Sci. 33(4), 429-442, 2005.

[84] Thermoelastic damping in nanomechanical resonators with finite wave speeds, with Z. Khisaeva, J. Thermal Stresses 29, 201-216, 2005.

[85] On the admissibility of an isotropic, smooth elastic continuum, Arch. Mech. 57(4), 345-355, 2005.

[86] Homogenization of a micro-periodic helix, with J.M. Vivar-Pèrez, J. Bravo-Castillero and R. Rodriguez-Ramos, G.A. Maugin special issue of Phil. Mag. 85(33-35), 4201-4212, 2005.

[87] On elastic and viscoelastic helices, with H. Shahsavari, G.A. Maugin special issue of Phil. Mag. 85(33-35), 4213-4230, 2005.

[88] Particle modeling of dynamic fragmentation – II: Fracture in single- and multi-phase materials, with G. Wang, P. Radziszewski and M. Ourriban, Comput. Mater. Sci. 35(2), 116-133, 2005.

[89] Mesoscale bounds in finite elasticity and thermoelasticity of random composites, with Z. Khisaeva, Proc. R. Soc. Lond. – A 462, 1167-1180, 2006.

[90] Homogenization of a micro-periodic helix with parabolic or hyperbolic heat conduction, with J.M. Vivar-Pèrez, J. Bravo-Castillero and R. Rodriguez-Ramos, J. Thermal Stresses 29, 467-483, 2006.

[91] Material spatial randomness – from statistical to representative volume element, Probab. Eng. Mech. 21(2), 112-132, 2006.

[92] Stochastic dynamics of acceleration wavefronts in random media, with J. Trebicki, S. Torquato special issue of Mech. Mater. 38, 840-848, 2006.

[93] On the scaling from statistical to representative volume element in thermoelasticity of random materials, Networks and Heterogeneous Media, 1(2), 259-274, 2006.

[94] On the size of representative volume element for Darcy law in random media, with X. Du, Proc. R. Soc. Lond. A 462, 2949-2963, 2006.

[95] Particle modeling of random crack patterns in epoxy plates, with G. Wang, Probab. Eng. Mech. 21(3), 267-275, 2006.

[96] Mesoscale simulations of atmospheric flow and tracer transport in the Phoenix, Arizona, airshed, with G. Wang, Meteorological Applications 13, 235-241, 2006.

[97] On the size of RVE in finite elasticity of random composites, with Z.F. Khisaeva, J. Elasticity 85, 153-173, 2006.

[98] Yield of random elasto-plastic materials, with W. Li, J. Mech. Mater. Struct. 1, 1055-1073, 2006.

[99] Lithic raw material physical properties and use wear accrual, with H. Lerner, X. Du & A. Costopoulos, J. Archaeological Science 34(5), 711-722, 2007.

[100] Large eddy simulation of sheet/cloud cavitation on a NACA0015 hydrofoil, with G. Wang, Appl. Math. Modelling 31, 417-447, 2007.

[101] On the size of representative volume element in elastic, plastic, thermoelastic, and permeable random microstructures, with X. Du, Z.F. Khisaeva and W. Li, Materials Science Forum 539-543, 201-206, 2007.

[102] Scale effects in infinitesimal and finite thermoelasticity of random composites, with Z.F. Khisaeva, J. Thermal Stresses 30, 587-603, 2007.

[103] Towards thermomechanics of fractal media, J. Appl. Math. Phys. (ZAMP) 58, 1085-1096, 2007.

[104] Towards thermoelasticity of fractal media, J. Thermal Stresses 30, 889-896, 2007.

[105] Comparisons of the size of representative volume element in elastic, plastic, thermoelastic, and permeable random microstructures, with X. Du, Z. Khisaeva and W. Li, Int. J. Multiscale Comp. Eng. 5(2), 73-82, 2007.

[106] On a helix made of a fractional viscoelastic material, with H. Shahsavari, ASME J. Appl. Mech. 75, 011012-1-4, 2008.

[107] The effect of imperfect contact on the homogenization of a micro-periodic helix, with J.M. Vivar-Pèrez, J. Bravo-Castillero, R. Rodriguez-Ramos, Math. Mech. Solids 13, 431-446, 2008.

[108] On turbulence in fractal porous media, J. Appl. Math. Phys. (ZAMP) 59(6), 1111-1117, 2008.

[109] Scale-dependent homogenization of inelastic random polycrystals, with S.I. Ranganathan, ASME J. Appl. Mech. 75, 051008-1-9, 2008.

[110] The electric-field-induced displacement of a charged spherical colloid embedded in an elastic Brinkman medium, with R.J. Hill, Phys. Rev. E 77, 011404-1-12, 2008.

[111] On the geodesic property of strain field patterns in elasto-plastic composites, with D. Jeulin and W. Li, Proc. R. Soc. Lond. A 464, 1217-1227, 2008.

[112] Scaling function, anisotropy and the size of RVE in elastic random polycrystals, with S.I. Ranganathan, J. Mech. Phys. Solids 56, 2773-2791, 2008.

[113] Mesoscale conductivity and scaling function in aggregates of cubic, trigonal, hexagonal, and tetragonal crystals, with S.I. Ranganathan, Phys. Rev. B 77, 214308-1-10, 2008.

[114] Universal elastic anisotropy index, with S.I. Ranganathan, Phys. Rev. Lett. 101, 055504-1-4, 2008.

[115] Continuum mechanics models of fractal porous media: Integral relations and extremum principles, JoMMS 4(5), 901-912, 2009.

[116] Extremum and variational principles for elastic and inelastic media with fractal geometries, Acta Mech. 205, 161-170, 2009. (doi:10.1007/s00707-009-0169-0)

[117] Fractal materials, beams and fracture mechanics, with J. Li, J. Appl. Math. Phys. (ZAMP) 60, 1-12, 2009 (doi:10.1007/s00033-009-8120-8).

[118] Fractal pattern formation at elastic-plastic transition in heterogeneous materials, with J. Li, ASME J. Appl. Mech. 77, 021005-1-7, 2010.

[119] S.I. Ranganathan and M. Ostoja-Starzewski, “Towards scaling laws in random polycrystals,” Int. J. Engineering Science (A.J.M. Spencer special issue) 47, 1322-1330, 2009.

[120] J. Li and M. Ostoja-Starzewski, “Fractal solids, product measures and fractional wave equations,” Proceedings of the Royal Society, London A 465, 2521-2536, 2009. Errata (2010) doi:10.1098/rspa.2010.0491.

[121] J. Li and M. Ostoja-Starzewski, “Fractal pattern formation at elastic-plastic transition in heterogeneous materials,” ASME Journal of Applied Mechanics 77, 021005-1-7, 2010.

[122] J. Li and M. Ostoja-Starzewski, “Fractals in elastic-hardening plastic materials,” Proceedings of the Royal Society, London A 466, 603-621, 2010.

[123] Y. Chen and M. Ostoja-Starzewski, “MRI-based finite element modeling of head trauma: spherically focusing shear waves,” Acta Mechanica 213 (1-2), 155-167, 2010. DOI 10.1007/s00707-009-0274-0

[124] G. Wang, A. H.-D. Cheng, M. Ostoja-Starzewski, A. Al-Ostaz and P. Radziszewski, “Hybrid lattice particle modelling approach for polymeric materials subject to high strain rate loads,” Polymers 2010, 2, 3-30, 2010. doi: 10.3390/polym2010003

[125] M. Ostoja-Starzewski, “Dissipation function in hyperbolic thermoelasticity,” Journal of Thermal Stresses 34(1), 68–74, 2011.

[126] M. Ostoja-Starzewski, “Macrohomogeneity condition in dynamics of micropolar media,” Archive of Applied Mechanics 81(7), 899-906, 2011. DOI: 10.1007/s00419-010-0456-1

[127] J. Li and M. Ostoja-Starzewski, “Fractals in thermoelastoplastic materials,” Journal of Mechanics of Materials and Structures (Charles and Marie-Louise Steele commemorative issue) 6(1-4), 351-359, 2011.

[128] R.E. Khayat and M. Ostoja-Starzewski, “On the objective rate of change of heat and stress fluxes,” Connection with micro/nano-scale convection,” Discrete and Continuous Dynamical Systems – Series B (DCDS-B) 15(4), 991-998, 2011. 10.3934/dcdsb.2011.15.991

[129] S.I. Ranganathan, M. Ostoja-Starzewski and M. Ferrari, “Quantifying the anisotropy in biological materials,” ASME Journal of Applied Mechanics, 78, 064501-1-4, 2011. DOI: 10.1115/1.4004553

[130] P.N. Demmie and M. Ostoja-Starzewski, “Waves in fractal media,” Journal of Elasticity (D.E. Carlson special issue) 104, 187-204, 2011. DOI 10.1007/s10659-011-9333-6

[131] H. Joumaa and M. Ostoja-Starzewski, “On the wave propagation in isotropic fractal media,” ZAMP 62, 1117-1129, 2011. DOI: 10.1007/s00033-011-0135-2

[132] J. Li and M. Ostoja-Starzewski, “Micropolar continuum mechanics of fractal media,” International Journal of Engineering Science (A.C. Eringen special issue) 49, 1302-1310, 2011. doi: 10.1016/jijengsci.2011.03.010

[133] H. Joumaa and M. Ostoja-Starzewski, “Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity,” Proceedings of the Royal Society A 467(2134), 2896-2911, 2011. doi: 101098/rspa2010.0660

[134] M. Ostoja-Starzewski and A. Zubelewicz, “Powerless fluxes and forces, and change of scale in irreversible thermodynamics,” Journal of Physics A: Mathematical and Theoretical 44, 335002, 2011.

[135] J. Li and M. Ostoja-Starzewski, “Fractal solids, product measures and fractional wave equations,” (invited and revised reprint of 1.120) Formamente VI, 93-113, 2011.

[136] M. Ostoja-Starzewski, “Stochastic finite elements: Where is the physics?” Theoretical and Applied Mechanics 38(4), 379-396, 2011.

[137] Y. Chen, B. Sutton, C. Conway, S.P. Broglio and M. Ostoja-Starzewski, “Brain deformation under mild impact: Magnetic resonance imaging-based assessment and finite element study,” special issue “Brain Neuro-Mechanics” of International Journal of Numerical Analysis and Modeling Series B 3(1), 20-35, 2012.

[138] M. Ostoja-Starzewski and L. Costa, “Shock waves in random viscoelastic media,” Acta Mechanica 223, 1777-1788, 2012. DOI 10.1007/s00707-012-0658-4

[139] E. Porcu, P. Gregori, J. Mateu and M. Ostoja-Starzewski, “New classes of spectral densities for lattice processes and random fields built from simple univariate margins,” Stochastic Environmental Research and Risk Assessment 26(4), 479-490, 2012. DOI: 10.1007/s00477-012-0572-2

[140] J. Li, A. Saharan, S. Koric and M. Ostoja-Starzewski, “Elastic-plastic transition in three-dimensional random materials: Massively parallel simulations, fractal morphogenesis and scaling function,” Philosophical Magazine 92(22), 2733-2758, 2012. DOI: 10.1080/14786435.2012.674223

[141] J. Li and M. Ostoja-Starzewski, “Edges of Saturn’s rings are fractal,” arXiv: 1207.0155, 2012. SpringerPlus 4, 158, 2015. DOI:10.1186/s40064-015-0926-6.

[142] M. Ostoja-Starzewski, “From random fields to classical or generalized continuum models,” Procedia IUTAM 6, 31–34, 2013.

[143] M. Ostoja-Starzewski, “Electromagnetism on anisotropic fractal media,” ZAMP 64(2), 381-390, 2013. (DOI) 10.1007/s00033-012-0230-z.

[144] M. Ostoja-Starzewski, P.N. Demmie, A. Zubelewicz, “On thermodynamic restrictions in peridynamics,” ASME Journal of Applied Mechanics 80, 014502, 2013. DOI: 10.1115/1.4006945

[145] A. Zubelewicz, D.G. Thompson, M. Ostoja-Starzewski, A. Ionita, D. Shunk, M.W. Lewis, J.C. Lawson, S. Kale and S. Koric, “Fracture model for cemented aggregates,” AIP Advances 3, 012119-1-10, 2013.

[146] A. Saharan, M. Ostoja-Starzewski and S. Koric, “Fractal geometric characterization of functionally graded materials,” ASCE Journal of Nanomechanics and Micromechanics 3(4), 04013001-1-13, 2013. DOI: 10.1061/(ASCE)NM.2153-5477.0000058.

[147] Ahmed Saleh Dalaq, S.I. Ranganathan and M. Ostoja-Starzewski, “Scaling function in conductivity of planar random checkerboards,” Computational Materials Science 79, 252-261, 2013.

[148] H. Joumaa and M. Ostoja-Starzewski, “Acoustic-elastodynamic interaction in isotropic fractal media,” European Physical Journal Special Topics 222, 1949–1958, 2013. DOI: 10.1140/epjst/e2013-01976-x

[149] M.P. Sena, M. Ostoja-Starzewski and L. Costa, “Stiffness tensor random fields through upscaling of planar random materials,” Probabilistic Eng. Mech. 34, 131-156, 2013. http://dx.doi.org/10.1016/j.probengmech.2013.08.008

[150] J. Li and M. Ostoja-Starzewski, “Comment on “Hydrodynamics of fractal continuum flow” and “Map of fluid flow in fractal porous medium into fractal continuum flow“,” Physical Review E 88(5), 057001, 2013.

[151] H. Joumaa, M. Ostoja-Starzewski and P.N. Demmie, “Elastodynamics in micropolar fractal solids,” Mathematics and Mechanics of Solids 19(2), 117–134, 2014. DOI: 10.1177/1081286512454557

[152] M. Ostoja-Starzewski, J. Li, H. Joumaa and P.N. Demmie, “From fractal media to continuum mechanics,” invited review, ZAMM 94(5), 373-401, 2014. DOI 10.1002/zamm.201200164

[153] J. Li and M. Ostoja-Starzewski, “Fractal shear bands at elastic-plastic transitions in random Mohr-Coulomb materials,” ASCE Journal of Engineering Mechanics 140(9), 04014072-1-12, 2014.

[154] M. Ostoja-Starzewski, “Viscothermoelasticity with finite wave speeds: Thermomechanical laws,” Acta Mechanica 225(4-5), 1277-1285, 2014. DOI 10.1007/s00707-013-1075-z

[155] A. Malyarenko and M. Ostoja-Starzewski, “Statistically isotropic tensor random fields: Correlation structures,” Mathematics and Mechanics of Complex Systems (MEMOCS) 2(2), 209-231, 2014. dx.doi.org/10.2140/memocs.2014.2.209

[156] S. Kale and M. Ostoja-Starzewski, “Elastic-plastic-brittle transitions and avalanches in disordered media,” Physical Review Letters 112, 045503-1-5, 2014. DOI: 10.1103/PhysRevLett.112.045503

[157] L. Shen, M. Ostoja-Starzewski and E. Porcu, “Bernoulli-Euler beams with random field properties under random field forcings: fractal and Hurst effects,” Archive of Applied Mechanics 84, 1595-1626, 2014.

[158] P. Trovalusci, M.L. De Bellis, M. Ostoja-Starzewski and A. Murrali, “Particulate random composites homogenized as micropolar materials,” Meccanica 49, 2719-2727, 2014. DOI:10.1007/s11012-014-0031-x

[159] P. Trovalusci, M. Ostoja-Starzewski, M.L. De Bellis and A. Murrali, “Scale-dependent homogenization of random composites as micropolar continua,” European Journal of Mechanics/A: Solids 49, 396-407, 2014.  DOI: 10.1016/j.euromechsol.2014.08.010

[160] M. Ostoja-Starzewski and A. Malyarenko, “Continuum mechanics beyond the second law of thermodynamics,” Proceedings of the Royal Society A 470, 20140531, 2014. DOI: 10.1098/rspa.2014.0531

[161] S. Kale and M. Ostoja-Starzewski, “Morphological study of elastic-plastic-brittle transitions in disordered media,” Physical Review E 90, 042405-1-15, 2014. DOI: 10.1103/PhysRevE.90.042405

[162] A. Zubelewicz, E. Rougier, M. Ostoja-Starzewski, E.E. Knight, C. Bradley and H.S. Viswanathan, “A mechanism-based model for dynamic behavior and fracture of geomaterials,” International Journal of Rock Mechanics & Mining Sciences 72, 277-282, 2014. DOI: 10.1016/j.ijrmms.2014.09.015

[163] M. Ostoja-Starzewski, L. Shen and A. Malyarenko, “Tensor random fields in conductivity and classical or microcontinuum theories,” Mathematics and Mechanics of Solids 20(4), 418-432, 2015. DOI:10.1177/1081286513498524

[164] B. Raghavan, S.I. Ranganathan and M. Ostoja-Starzewski, “Electrical properties of random checkerboards at finite scales,” AIP Advances 5, 017131-1-12, 2015.

[165] L. Shen, M. Ostoja-Starzewski and E. Porcu, “Responses of first-order dynamical systems to Matérn, Cauchy, or Dagum excitations,” Mathematics and Mechanics of Complex Systems (MEMOCS) 3(1), 27-41, 2015. dx.doi.org/10.2140/memocs.2015.3.27

[166] L. Shen, M. Ostoja-Starzewski and E. Porcu, “Elastic rods and shear beams with random field properties under random field loads: fractal and Hurst effects,” ASCE Journal of Engineering Mechanics, 141(7), 04015002-1-8, 2015. doi: 10.1061/(ASCE)EM.1943-7889.0000906.

[167] M. Ostoja-Starzewski, L. Costa and S.I. Ranganathan, “Scale-dependent homogenization of random hyperbolic thermoelastic solids,” Journal of Elasticity 118, 243-250, 2015. DOI 10.1007/s10659-014-9483-4

[168] S. Kale, A. Saharan, S. Koric and M. Ostoja-Starzewski, “Scaling and bounds in thermal conductivity of planar Gaussian correlated microstructures,” Journal of Applied Physics 117, 104301, 2015. http://dx.doi.org/10.1063/1.4914128

[169] T. Bliss, J. Castro and M. Ostoja-Starzewski, “A three-dimensional model of fine particle retention during percolation through a fiber mat,” TAPPI Journal 14(8), 546-554, 2015.

[170] L. Shen, M. Ostoja-Starzewski and E. Porcu, “Harmonic oscillator driven by random processes having fractal and Hurst effects,” Acta Mechanica 226(11), 3653-3672, 2015. DOI 10.1007/s00707-015-1385-4

[171] J. Zhang and M. Ostoja-Starzewski, “Mesoscale bounds in viscoelasticity of random composites,” Mechanics Research Communications 68, 98-104, 2015. doi:10.1016/j.mechrescom.2015.05.005

[172] S. Kale, F. Sabet, I. Jasiuk, M. Ostoja-Starzewski, “Tunneling-percolation behavior of polydisperse prolate and oblate ellipsoids,” Journal of Applied Physics 118(15), 154306, 2015. DOI: 10.1063/1.4933100 cover

[173] M. Ostoja-Starzewski, “Pirouette launch and energy storage system,” Journal of the British Interplanetary Society 68, 406-407, 2015.

[174] P.N. Demmie and M. Ostoja-Starzewski, “Local and nonlocal material models, spatial randomness, and impact loading,” Archive of Applied Mechanics 86(1), 39-58, 85th Anniversary Special Issue, 2016.  DOI 10.1007/s00419-015-1095-3

[175] M. Ostoja-Starzewski, “Second law violations, continuum mechanics, and permeability,” Continuum Mechanics and Thermodynamics 28, 489-501, 2016. DOI: 10.1007/s00161-015-0451-4; Erratum 29, 359, 2017. DOI: 10.1007/s00161-016-0534-x

[176] V. Nishawala, M. Ostoja-Starzewski, M. Leamy and P.N. Demmie, “Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments,” Wave Motion 60, 73-83, 2016. https://doi.org/10.1016/j.wavemoti.2015.08.005

[177] D. Zhang and M. Ostoja-Starzewski, “Finite element solutions to the bending stiffness of a single-layered helically wound cable with internal friction,” ASME Journal of Applied Mechanics 83, 031003-1-8, 2016. DOI:10.1115/1.4032023

[178] M. Ostoja-Starzewski and B. Raghavan, “Continuum mechanics versus violations of the second law of thermodynamics,” (invited) J. Thermal Stresses 39:6, 734-749, 2016. http://www.tandfonline.com/doi/full/10.1080/01495739.2016.1169140

[179] V. Nishawala and M. Ostoja-Starzewski, “Peristatic solutions for finite one and two dimensional systems,” Mathematics and Mechanics of Solids, in press, 2016. DOI: 10.1177/1081286516641180

[180] J. Zhang and M. Ostoja-Starzewski, “Frequency-dependent scaling from mesoscale to macroscale in viscoelastic random composites,” Proceedings of the Royal Society A 472, 20150801, 2016. DOI: 10.1098/rspa.2015.0801

[181] A. Malyarenko and M. Ostoja-Starzewski, “Spectral expansions of homogeneous and isotropic tensor-valued random fields,” arXiv:1402.1648, Journal of Applied Mathematics and Physics (ZAMP) 67(3), paper 59, 2016.  DOI 10.1007/s00033-016-0657-8

[182] H. Joumaa and M. Ostoja-Starzewski, “On the dilatational wave motion in anisotropic fractal solids,” Mathematics and Computers in Simulation (C. Christov issue) 127, 114-130, 2016. DOI: 10.1016/j.matcom.2013.03.012

[183] S. Kale and M. Ostoja-Starzewski, “Representing stochastic damage evolution as a jump Markov process,” International Journal of Damage Mechanics, on line, 2016. DOI: 10.1177/1056789516650249

[184] S. Kale, F. Sabet, I. Jasiuk and M. Ostoja-Starzewski, “Effect of filler alignment on percolation in polymer nanocomposites using tunneling-percolation model,” Journal of Applied Physics 120, 045105-1-10, 2016.

[185] V. Nishawala, M. Ostoja-Starzewski, M. Leamy and E. Porcu, “Lamb’s problem on random mass density fields with fractal and Hurst effects,” Proceedings of the Royal Society A 472 (2196), 2016. DOI: 10.1098/rspa.2016.0638. Electronic supplementary material

[186] A. Malyarenko and M. Ostoja-Starzewski, “A random field formulation of Hooke’s law in all elasticity classes,” Journal of Elasticity 127(2), 269-302, 2017; arXiv:1602.09066

[187] P. Karimi, M. Ostoja-Starzewski, and I. Jasiuk, “Experimental and computational study of shielding effectiveness of polycarbonate carbon nanocomposites,” Journal of Applied Physics 120, 145103-1-11, 2016. DOI: 10.1063/1.4964691

[188] D. Zhang, K.A. Dahmen and M. Ostoja-Starzewski, “Scaling of slip avalanches in sheared amorphous materials based on large-scale atomistic simulations,” Physical Review E 95, 032902-1-12, 2017. DOI: 10.1103/PhysRevE.95.032902

[189] B.V. Raghavan and M. Ostoja-Starzewski, “Shear-thinning characteristics of molecular fluids undergoing planar Couette flow,” Physics of Fluids 29, 023103-1-7, 2017. doi: 10.1063/1.4976319

[190] M. Ostoja-Starzewski, “Admitting spontaneous violations of the second law in continuum thermomechanics,” Entropy 19, 78, 10 pages, 2017.

[191] A. Madhukar, Y. Chen and M. Ostoja-Starzewski, “Effect of cerebrospinal fluid modelling on spherically convergent shear waves during blunt head trauma,” International Journal for Numerical Methods in Biomedical Engineering, on line, 2017. DOI: 10.1002/cnm.2881

[192] A. Amiri-Hezaveh, H. Moghaddasi, P. Karimi and M. Ostoja-Starzewski, “Dynamic interaction of plates in an inhomogeneous transversely isotropic space weakened by a crack,” ZAMM, on line, 2017.

[193] L. Le Marrec, D. Zhang and M. Ostoja-Starzewski, “Three-dimensional vibrations of a helically wound cable modeled as a Timoshenko rod,” Acta Mechanica (“Franz Ziegler memorial issue”), in press, 2017.

[194] A. Malyarenko and M. Ostoja-Starzewski, “Fractal planetary rings: Energy inequalities and random field model,” Int. J. Modern Physics B 31(30), 1750236 (14 pages), 2017.

[195] V. Nishawala and M. Ostoja-Starzewski, “Acceleration waves on random fields with fractal and Hurst effects,” Wave Motion 74, 134-150, 2017.

[196] M. Ostoja-Starzewski and R.E. Khayat, “Oldroyd fluids with hyperbolic heat conduction,” Mechanics Research Communications – special issue “Mechanics from the 20th to the 21st Century: The Legacy of Gérard A. Maugin“, on line, 2017.

[197] P. Karimi, A. Amiri-Hezaveh, M. Ostoja-Starzewski and J.-M. Jin, “Electromagnetic characteristics of systems of prolate and oblate ellipsoids with focus on CNT and GNP,” Journal of Applied Physics, in press, 2017. DOI: 10.1063/1.5000045

[198] B.V. Raghavan, P. Karimi and M. Ostoja-Starzewski, “Stochastic characteristics and second-law violations of atomic fluids in Couette flow,” in press, Physica A.