Martin Starzewski

Profile Picture of Martin Starzewski
Title
Professor
Department
Mechanical Science and Engineering
Institution
University of Illinois Urbana-Champaign

Education

  • PhD, Mechanical Engineering, McGill University

Research Interests

Finite Element Method, Finite Element Methods   Two Types   Continuum Mechanics  

  View all research interests

Biography

Bio-Sketch: Martin Ostoja-Starzewski obtained a Ph.D. (1983) in mechanical engineering at McGill University. He wrote 200+ journal papers and 3 books: 1. Microstructural Randomness and Scaling in Mechanics of Materials, CRC Press (2008); 2. Thermoelasticity with Finite Wave Speeds, Oxford U Press (2009); 3. Tensor-Valued Random Fields for Continuum Physics, Cambridge U Press (2019). He serves as Editor of Acta Mechanica, Editor-in-Chief of the Journal of Thermal Stresses, and Chair Managing Editor of Mathematics and Mechanics of Complex Systems. He is a Fellow of ASME, American Academy of Mechanics, Society of Engineering Science, Associate Fellow of AIAA, and Member of the European Academy of Sciences and Arts. In 2018 he received the Worcester Reed Warner Medal of ASME. In 2012 he was Timoshenko Distinguished Visitor at Stanford University. He was Site co-Director of the NSF Industry/University Cooperative Research Center for Novel High Voltage/Temperature Materials and Structures (2014-2022), and Rothschild Distinguished Visiting Fellow, at Isaac Newton Institute for Mathematical Sciences, University of Cambridge (2023).

Homepages

Contact Information

  Department of Mechanical Science & Engineering University of Illinois at Urbana-Champaign 1206 West Green Street Urbana, IL 61801

  217-265-0900

Research
Not mentioned yet. (?)
List of Publications (137)
In 2024
137

. J. Ran, H. El-Kebir, Y. Lee, L.P. Chamorro, R. Berlin, G.M.A. Cornejo, E. Benedetti, P.C. Giulianotti, R. Bhargava, J. Bentsman, and M. Ostoja-Starzewski, " Heat conduction in live tissue during radiofrequency electrosurgery ," Journal of the Royal Society Interface 21 : 20230420, 2024.

Found on Publication Page
136

. M. Ostoja-Starzewski and P. Suro wka, " Generalizing odd elasticity theory to odd thermoelasticity for planar materials ," Physical Review B 109 , 064107, 2024.

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In 2023
135

. Y.S. Jetti, E. Porcu and M. Ostoja-Starzewski, " New decouplers of fractal dimension and Hurst effects ," ZAMP 74 :123, 2023.

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134

244 R. Pavan and M. Ostoja-Starzewski, " Analysis of two types of harmonic waves in a Zener viscoelastic material ," Mech. Res. Comm 108 , 104069, 2023.

Found on Publication Page
133

. Y. Povstenko, M. Ostoja-Starzewski and T. Kyrylych, "Telegraph equation in polar coordinates: unbounded domain with moving time-harmonic source," International Journal of Heat and Mass Transfer 207 , 124013, 2023. https://authors.elsevier.com/c/1gfql44xaGQX3

Found on Publication Page
132

243 A. Malyarenko and M. Ostoja-Starzewski, " Tensor- and spinor-valued random fields with applications to continuum physics and cosmology (projecteuclid.org) ," invited paper, Probability Surveys 20 , 1-86, 2023.

Found on Publication Page
131

242 R.B. Hetnarski and M. Ostoja-Starzewski, " Jo zef Ignaczak (1935-2022) ," Journal of Thermal Stresses , 2023.

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In 2022
130

240 A. Amiri-Hezaveh, M. Ostoja-Starzewski and H. Moghaddasi, " Nonlinear convolution finite element method for solution of large deformation elastodynamics ," Comp. Meth. Appl. Mech. Eng. 407 , 115847, 2022.

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129

231 A. Amiri-Hezaveh and M. Ostoja-Starzewski, " A convolutional iterative solver for nonlinear dynamical systems ," Applied Mathematics Letters 30 , 2022.

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128

232 J. Li and M. Ostoja-Starzewski, " Micropolar mechanics of product fractal media ," Proceedings of the Royal Society A 478: 20210770, 2022.

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127

234 Y.S. Jetti and M. Ostoja-Starzewski, " Equipartition of energy in a helix ," Mathematics and Mechanics of Solids , online, 2022. DOI: 10.1177/10812865221089004

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126

235 R. Junren, H. El-Kebir, Y. Povstenko, R. Berlin, J. Bentsman, and M. Ostoja-Starzewski, " Shock waves in biological tissues under telegraph equation heat conduction ," International Journal for Multiscale Computational Engineering 20 (6), 79-87, 2022.

Found on Publication Page
125

236 A. Amiri-Hezaveh, H. Moghaddasi and M. Ostoja-Starzewski, " Convolution finite element method for analysis of piezoelectric materials ," Comp. Meth. Appl. Mech. Eng. 400 115463, 2022.

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124

237 A. Malyarenko and M. Ostoja-Starzewski, " Polyadic random fields ," ZAMP 73 , 204, 2022.

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123

238 A. Madhukar and M. Ostoja-Starzewski, " Blunt head impact causes a temperature rise in the brain ," Royal Society Open Science 9 : 220890, 2022.

Found on Publication Page
122

239 Y.S. Jetti and M. Ostoja-Starzewski, " Elastic contact of random surfaces with fractal and Hurst effects ," Proceedings of the Royal Society A 478 , 20220384, 2022.

Found on Publication Page
121

241 H. El-Kebir, J. Ran, Y. Lee, L.P. Chamorro, M. Ostoja-Starzewski, R. Berlin and J. Bentsman "Minimally invasive live tissue high-fidelity thermophysical modeling using real-time thermography," IEEE Transactions on Biomedical Engineering , in the press, 2022.

Found on Publication Page
In 2021
120

228 M. Ostoja-Starzewski, " Virial theorems and virial stresses of micropolar media ," Journal of Micromechanics and Molecular Physics , SI "Professor Eringen's Centennial Anniversary," (organized by Professors J.D. Lee, J. Li, and L. Wang), accepted, 2021. 2112.09063.pdf (arxiv.org) (PDF)

Found on Publication Page
119

220 Y. Povstenko and M. Ostoja-Starzewski, " Doppler effect described by the solutions of the Cattaneo telegraph equation ," Acta Mechanica 232 , 725-740, 2021.

Found on Publication Page
118

221 R. Laudani and M. Ostoja-Starzewski, " Spontaneous negative entropy increments in granular flows ," in McMeeking Special Issue ASME Journal of Applied Mechanics (Eds. N. Cohen, A. Ruimi) 88 (3), 031010 (7 pages), 2021. DOI: 10.1115/1.4049184

Found on Publication Page
117

222 R. Laudani, D. Zhang, T. Faouzi, E. Porcu, M. Ostoja-Starzewski and L.P. Chamorro, " On streamwise velocity spectra model accounting for the fractal and long-memory effects ," Physics of Fluids 33 , 035116, 2021.

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116

223 M. Ostoja-Starzewski, " Averaging of turbulent micropolar media: Turbulent couple-stress, heat flux, and energy ," Z. Angew. Math. Phys. 72 :106, 2021.

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115

227 M. Ostoja-Starzewski and R. Quintanilla, " Spatial behavior of solutions of the Moore-Gibson-Thompson equation ," Journal of Mathematical Fluid Mechanics 23 : 105, 2021.

Found on Publication Page
114

229 J. Ran, M. Ostoja-Starzewski, Y. Povstenko, " Mach fronts in random media with fractal and Hurst effects ," Fractal and Fractional , on the topic " Fractal Media and Fractional Viscoelasticity ." on line, 2021.

Found on Publication Page
113

225 X. Zhang, A. Malyarenko, E. Porcu and M. Ostoja-Starzewski, " Elastodynamic problem on tensor random fields with fractal and Hurst effects ," 57 , 957-970, 2021. (PDF)

Found on Publication Page
112

226 Y. Povstenko and M. Ostoja-Starzewski, " Fractional telegraph equation under moving time-harmonic impact ," Int. J. Heat Mass Transf. 182 , 121958, 2021.

Found on Publication Page
111

230 Y.S. Jetti and M. Ostoja-Starzewski, " Scaling in anti-plane elasticity on random shear modulus fields with fractal and Hurst effects ," Fractal and Fractional , Special Issue "2021 Feature Papers by Fractal & Fractional's Editorial Board Members," 5 (4), 255, 2021.

Found on Publication Page
In 2020
110

214 R. Laudani and M. Ostoja-Starzewski, " Fracture of brittle beams with fractal and Hurst effects ," International Journal of Solids and Structures 191-192 , 243-253, 2020.

Found on Publication Page
109

215 P. Karimi, A. Malyarenko, M. Ostoja-Starzewski and X. Zhang, " RVE problem, random fields, and stochastic mechanics ," International Journal of Engineering Science 146 , 2020.

Found on Publication Page
108

216 J. Li and M. Ostoja-Starzewski, " Thermo-poromechanics of fractal porous media ," in special issue "Advanced materials modelling via fractional calculus: challenges and perspectives," Philosophical Transactions of the Royal Society A 378 (2172), 20190288, 2020.

Found on Publication Page
107

217 X. Zhang and M. Ostoja-Starzewski, " Impact force and moment problems on random mass density fields with fractal and Hurst effects ," in special issue "Advanced materials modelling via fractional calculus: challenges and perspectives," Philosophical Transactions of the Royal Society A 378 (2172), 20190591, 2020.

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106

218 M. Ostoja-Starzewski and R. Laudani, " Violations of the Clausius-Duhem inequality in Couette flows of granular media ," Proceedings of the Royal Society A 476 : 20200207, 2020.

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105

219 A. Madhukar and M. Ostoja-Starzewski, " Modelling and Simulation of Head Trauma Utilizing White Matter Properties from Magnetic Resonance Elastography ," , 225-241, 2020. Supplementary Material : simulation movie.

Found on Publication Page
104

233 T. Zhu, G. Romano, L. Ying, M. Ostoja-Starzewski and J.C. Grossmann, " Quantum multifractality in thermal conduction across random interfaces ," arXiv:2008.01619v1, 2020/21. (PDF)

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In 2019
103

202 X. Zhang, V. Nishawala and M. Ostoja-Starzewski, "Anti-plane shear Lamb's problem on random mass density fields with fractal and Hurst effects," Evolution Equations & Control Theory, special issue " Nonlinear Wave Phenomena in Continuum Physics: Some Recent Findings, 8 (1), 231-246, 2019.

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102

203 D. Zhang and M. Ostoja-Starzewski, " Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element ," Acta Mechanica 230 , 1725-1743, 2019.

Found on Publication Page
101

205 P. Karimi, X. Zhang, S. Yan, M. Ostoja-Starzewski and J.-J. Jin, " Electrostatic and magnetostatic properties of random materials ," Physical Review E 99 (2), 022120-1-9, 2019. DOI: 10.1103/PhysRevE.99.022120

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100

206 D. Zhang, M. Ostoja-Starzewski and L. Le Marrec, " Mechanical and thermal couplings in helical strands ," Journal of Thermal Stresses 42 (1), 185-212, 2019.

Found on Publication Page
99

207 P. Karimi, A. Amiri-Hezaveh, H. Moghaddasi, F. A Sabet and M. Ostoja-Starzewski, " Elastodynamics of a multilayered transversely isotropic half-space due to rigid motion of foundation ," Wave Motion 88 , 106-128, 2019.

Found on Publication Page
98

208 A. Malyarenko and M. Ostoja-Starzewski, " Towards stochastic continuum damage mechanics, " special issue In honor of Professor Dominique Jeulin - International Journal of Solids and Structures 184, 202-210, 2019.

Found on Publication Page
97

209 A. Amiri-Hezaveh, P. Karimi and M. Ostoja-Starzewski, " Stress field formulation of linear electro-magneto-elastic materials ," Mathematics and Mechanics of Solids 24 (12), 3806-3822, 2019.

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96

210 B.V. Raghavan and M. Ostoja-Starzewski, " On the hydrodynamic stability of a Lennard-Jones molecular fluid ," Journal of Statistical Physics 177 (1), 61-77, 2019.

Found on Publication Page
95

211 D. Zhang and M. Ostoja-Starzewski, " Thermoelastic waves in helical strands with Maxwell-Cattaneo heat conduction ," Theoretical and Applied Mechanics Letters 9 (5), 302-307, 2019.

Found on Publication Page
94

212 A. Madhukar, Y. Park, W. Kim, H.J., R. Berlin, L.P. Chamorro, J. Bentsman, and M. Ostoja-Starzewski, " Heat conduction in porcine muscle and blood: Experiments and time-fractional telegraph equation model ," Journal of the Royal Society Interface 16 , 20190726, 2019.

Found on Publication Page
93

213 A. Amiri-Hezaveh, P. Karimi and M. Ostoja-Starzewski, " IBVP for electro-magneto-elastic materials: variational approach ," Mathematics and Mechanics of Complex Systems (MEMOCS) 8 (1), 47-67, 2019.

Found on Publication Page
92

204 A. Madhukar and M. Ostoja-Starzewski, " Finite element methods in human head impact simulations: A review ," Annals of Biomedical Engineering 47 (9), 1832-1854, 2019.

Found on Publication Page
In 2018
91

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 Ge rard A. Maugin 93 , 108-113, 2018. doi: 10.1016/j.mechrescom.2017.07.012

Found on Publication Page
90

198 S. Kale, P. Karimi, F.A. Sabet, I. Jasiuk and M. Ostoja-Starzewski, " Tunneling-percolation model of multicomponent nanocomposites ," Journal of Applied Physics 123 , 085104, 2018. Cover. DOI: 10.1063/1.5019945

Found on Publication Page
89

199 J. Zhang and M. Ostoja-Starzewski, " Does a fractal microstructure require a fractional viscoelastic model? Fractal and Fractional 2 (1), 12, 2018. DOI: 10.3390/fractalfract2010012

Found on Publication Page
88

200 D.W. Abueidda, P. Karimi, J.-J. Jin, N.A. Sobh, I.M. Jasiuk and M. Ostoja-Starzewski, " Shielding effectiveness and bandgaps of interpenetrating phase composites based on the Schwarz Primitive surface ," Journal of Applied Physics 124 , 175102, 2018. DOI: 10.1063/1.5046105

Found on Publication Page
87

201 M. Ostoja-Starzewski, "Ignaczak equation of elastodynamics," Mathematics and Mechanics of Solids 24 (11), 3674-3713, 2018. DOI: 10.1177/1081286518757284

Found on Publication Page
86

192 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") 229 (2), 677-695, 2018. DOI: 10.1007/s00707-017-1992-3

Found on Publication Page
85

197 B.V. Raghavan, P. Karimi and M. Ostoja-Starzewski, " Stochastic characteristics and Second Law violations of atomic fluids in Couette flow ," 496 , 90-107, 2018. doi: 10.1016/j.physa.2017.11.007

Found on Publication Page
In 2017
84

174 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; 29 , 359, 2017. DOI: 10.1007/s00161-016-0534-x

Found on Publication Page
83

178 V. Nishawala and M. Ostoja-Starzewski, "Peristatic solutions for finite one and two dimensional systems," Mathematics and Mechanics of Solids 22 (8), 1639-1653, 2017. DOI: 10.1177/1081286516641180

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82

182 S. Kale and M. Ostoja-Starzewski, "Representing stochastic damage evolution as a jump Markov process," International Journal of Damage Mechanics 26 (1), 147-161, 2017. DOI: 10.1177/1056789516650249

Found on Publication Page
81

185 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. DOI 10.1007/s10659-016-9613-2

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80

187 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

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79

188 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

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78

189 M. Ostoja-Starzewski, " Admitting spontaneous violations of the second law in continuum thermomechanics ," 19 , 78, , 2017. DOI: 10.3390/e19020078

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77

190 A. Madhukar, Y. Chen and M. Ostoja-Starzewski, "Effect of cerebrospinal fluid modeling on spherically convergent shear waves during blunt head trauma," International Journal for Numerical Methods in Biomedical Engineering 33 (12), , 2017. DOI: 10.1002/cnm.2881

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76

191 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 97 (11), 1338-1357, 2017. DOI 10.1002/zamm.201600282

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75

193 A. Malyarenko and M. Ostoja-Starzewski, "Fractal planetary rings: Energy inequalities and random field model," International Journal of Modern Physics B 31 (30), 1750236 (14 pages), 2017. ["Saturn rings: fractal structure and random field model," 2016 arXiv preprint arXiv:1612.05499]

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74

194 V.V. Nishawala and M. Ostoja-Starzewski, "Acceleration waves on random fields with fractal and Hurst effects," Wave Motion 74 134-150 , 2017. doi: 10.1016/j.wavemoti.2017.07.004

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73

195 P. Karimi, A. Amiri-Hezaveh, M. Ostoja-Starzewski and J.-M. Jin, " Electromagnetic characteristics of systems of prolate and oblate ellipsoids ," Journal of Applied Physics 122 , 185101-1-10, 2017.

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In 2016
72

173 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

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71

175 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

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70

176 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 EID: 2-s2.0-84955479118

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69

177 M. Ostoja-Starzewski and B.V. Raghavan, "Continuum mechanics versus violations of the second law of thermodynamics," (invited) Journal of Thermal Stresses 39 :6, 734-749, 2016. http://www.tandfonline.com/doi/full/10.1080/01495739.2016.1169140

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68

179 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

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67

180 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

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66

181 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

Found on Publication Page
65

183 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.

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64

184 V.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. Electronic supplementary material

Found on Publication Page
63

186 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

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In 2015
62

164 L. Shen, M. Ostoja-Starzewski and E. Porcu, "Responses of first-order dynamical systems to Mate rn, 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

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61

140 J. Li and M. Ostoja-Starzewski, "Edges of Saturn's rings are fractal," arXiv: 1207.0155 , 2012. SpringerPlus , 158, 2015. DOI: 10.1186/s40064-015-0926-6 . EID: 2-s2.0-84928333934

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60

161 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, 2015. DOI: 10.1016/j.euromechsol.2014.08.010

Found on Publication Page
59

162 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

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58

163 B. Raghavan, S.I. Ranganathan and M. Ostoja-Starzewski, "Electrical properties of random checkerboards at finite scales," AIP Advances 5 , 017131-1-12, 2015.

Found on Publication Page
57

165 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

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56

166 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

Found on Publication Page
55

167 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

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54

168 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. EID: 2-s2.0-84940843961

Found on Publication Page
53

169 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

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52

170 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

Found on Publication Page
51

171 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

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50

172 M. Ostoja-Starzewski, "Pirouette launch and energy storage system," Journal of the British Interplanetary Society 68 , 406-407, 2015.

Found on Publication Page
In 2014
49

150 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

Found on Publication Page
48

151 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

Found on Publication Page
47

152 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.

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46

153 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

Found on Publication Page
45

154 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

Found on Publication Page
44

155 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

Found on Publication Page
43

156 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.

Found on Publication Page
42

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

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41

158 M. Ostoja-Starzewski and A. Malyarenko, " Continuum mechanics beyond the second law of thermodynamics ," Proceedings of the Royal Society A 470 , 20140531, 2014.

Found on Publication Page
40

159 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

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39

160 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

Found on Publication Page
In 2013
38

141 M. Ostoja-Starzewski, "From random fields to classical or generalized continuum models," Procedia IUTAM 6 , 31-34, 2013.

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37

142 M. Ostoja-Starzewski, "Electromagnetism on anisotropic fractal media," ZAMP 64 (2), 381-390, 2013. (DOI) 10.1007/s00033-012-0230-z.

Found on Publication Page
36

143 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

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35

144 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.

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34

145 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.

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33

146 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.

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32

147 H. Joumaa and M. Ostoja-Starzewski, "Acoustic-elastodynamic interaction in isotropic fractal media," European Physical Journal Special Topics 222 , 1951-1960, 2013. DOI: 10.1140/epjst/e2013-01976-x

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31

148 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.

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30

149 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.

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In 2012
29

136 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 (1), 20-35, 2012.

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28

137 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

Found on Publication Page
27

138 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

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26

139 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

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In 2011
25

124 M. Ostoja-Starzewski, "Dissipation function in hyperbolic thermoelasticity," Journal of Thermal Stresses 34 (1), 68-74, 2011.

Found on Publication Page
24

125 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

Found on Publication Page
23

126 J. Li and M. Ostoja-Starzewski, "Fractals in thermoelastoplastic materials," Journal of Mechanics of Materials and ( Charles and Marie-Louise Steele commemorative issue ) (1-4), 351-359, 2011.

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22

127 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

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21

128 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

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20

129 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

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19

130 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

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18

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

Found on Publication Page
17

132 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

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16

133 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.

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15

134 J. Li and M. Ostoja-Starzewski, "Fractal solids, product measures and fractional wave equations," (invited and revised reprint of 1.121) VI , 93-113, 2011.

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14

135 M. Ostoja-Starzewski, "Stochastic finite elements: Where is the physics?" Theoretical and Applied Mechanics 38 (4), 379-396, 2011.

Found on Publication Page
In 2010
13

119 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.

Found on Publication Page
12

120 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.

Found on Publication Page
11

121 J. Li and M. Ostoja-Starzewski, " Fractals in elastic-hardening plastic materials ," Proceedings of the Royal Society, London A 466 , 603-621, 2010.

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10

122 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

Found on Publication Page
9

123 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," 2010 , 3-30, 2010. doi: 10.3390/polym2010003

Found on Publication Page
In 2009
8

114 M. Ostoja-Starzewski, "Continuum mechanics models of fractal porous media: Integral relations and extremum principles," J. Mechanics of Materials and Structures (5), 901-912, 2009.

Found on Publication Page
7

115 M. Ostoja-Starzewski, "Extremum and variational principles for elastic and inelastic media with fractal geometries," Acta Mechanica 205 , 161-170, 2009.

Found on Publication Page
6

116 M. Ostoja-Starzewski and J. Li, "Fractal materials, beams and fracture mechanics," J. Appl. Math. Phys. (ZAMP) 60 (6), 1194-1205, 2009.

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5

117 M. Ostoja-Starzewski, "A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials," Int. J. Engineering Science 47 , 807-810, 2009.

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4

118 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.

Found on Publication Page
In 2008
3

[113] S.I. Ranganathan and M. Ostoja-Starzewski, " Universal elastic anisotropy index ," Physical Review Letters 101 , 055504-1-4, 2008.

Found on Publication Page
Unspecified
2

224 A. Amiri-Hezaveh, A. Masud and M. Ostoja-Starzewski, " Convolution finite element method: An alternative approach for time integration and time-marching algorithms ," Tomasz Lodygowski SI of Computational Mechanics 68 , 667-696.

Found on Publication Page
1

Martin Ostoja-Starzewski Department of Mechanical Science and Engineering University of Illinois at Urbana-Champaign Mechanical Engineering Building 1206 W. Green St. Urbana, IL 61801-2307

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