Martin Ostoja-Starzewski
University of Illinois at Urbana-Champaign
Faculty Member, Engineering & Technology
United States
My co-authors include
Jun Li
Dr Vittorio Zampoli
Find me at
My Publications
Ignaczak equation of elastodynamics
Mathematics and Mechanics of Solids
March 2018
On the dilatational wave motion in anisotropic fractal solids
Mathematics and Computers in Simulation
September 2016
Representing stochastic damage evolution in disordered media as a jump Markov process u...
International Journal of Damage Mechanics
July 2016
Frequency-dependent scaling from mesoscale to macroscale in viscoelastic random composites
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
April 2016
From Second Law Violations to Continuum Mechanics
January 2016
Tensor-Valued Random Fields in Continuum Physics
January 2016
Introduction
Mechanics Research Communications
September 2015
Stochastic Continuum Damage Mechanics Using Spring Lattice Models
Applied Mechanics and Materials
August 2015
Edges of Saturn’s rings are fractal
SpringerPlus
April 2015
Continuum mechanics beyond the second law of thermodynamics
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
October 2014
Lattice and Particle Modeling of Damage Phenomena
September 2014
Fractal Shear Bands at Elastic-Plastic Transitions in Random Mohr-Coulomb Materials
Journal of Engineering Mechanics
September 2014
Viscothermoelasticity with finite wave speeds: thermomechanical laws
Acta Mechanica
January 2014
Elastic-Plastic-Brittle Transitions and Avalanches in Disordered Media
Physical Review Letters
January 2014
The spectral expansion of the elasticity random field
January 2014
Fractals and Randomness in Mechanics of Materials
January 2014
Fractal Geometric Characterization of Functionally Graded Materials
Journal of Nanomechanics and Micromechanics
December 2013
Comment on “Hydrodynamics of fractal continuum flow” and “Map of fluid flow in fractal ...
Physical Review E
November 2013
SCALING AND HOMOGENIZATION IN SPATIALLY RANDOM COMPOSITES
November 2013
Scaling function in conductivity of planar random checkerboards
Computational Materials Science
November 2013
Stiffness tensor random fields through upscaling of planar random materials
Probabilistic Engineering Mechanics
October 2013
Acoustic-elastodynamic interaction in isotropic fractal media
The European Physical Journal Special Topics
September 2013
Tensor random fields in conductivity and classical or microcontinuum theories
Mathematics and Mechanics of Solids
August 2013
From fractal media to continuum mechanics
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathem...
January 2013
Fracture model for cemented aggregates
AIP Advances
January 2013
Editorial - Pan American Congress of Applied Mechanics (PACAM XII)
January 2013
From Random Fields to Classical or Generalized Continuum Models
Procedia IUTAM
January 2013
Lattice and Particle Modeling of Damage Phenomena
January 2013
On Thermodynamic Restrictions in Peridynamics
Journal of Applied Mechanics
October 2012
Elastodynamics in micropolar fractal solids
Mathematics and Mechanics of Solids
September 2012
Elastic–plastic transition in three-dimensional random materials: massively parallel si...
The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics
August 2012
Electromagnetism on anisotropic fractal media
Zeitschrift für angewandte Mathematik und Physik
May 2012
Shock waves in random viscoelastic media
Acta Mechanica
May 2012
New classes of spectral densities for lattice processes and random fields built from si...
Stochastic Environmental Research and Risk Assessment
March 2012
Book Review: Erik Vanmarcke, Random Fields: Analysis and Synthesis, World Scientific, S...
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathem...
February 2012
Micropolar continuum mechanics of fractal media
International Journal of Engineering Science
December 2011
Powerless fluxes and forces, and change of scale in irreversible thermodynamics
Journal of Physics A Mathematical and Theoretical
July 2011
Fractals in thermoelastoplastic materials
Journal of Mechanics of Materials and Structures
June 2011
On the wave propagation in isotropic fractal media
Zeitschrift für angewandte Mathematik und Physik
June 2011
Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
May 2011
Waves in Fractal Media
Journal of Elasticity
March 2011
On the objective rate of heat and stress fluxes. Connection with micro/nano-scale heat ...
Discrete and Continuous Dynamical Systems - Series B
March 2011
Dissipation Function in Hyperbolic Thermoelasticity
Journal of Thermal Stresses
January 2011
Waves in Fractal Media
January 2011
Quantifying the Anisotropy in Biological Materials
Journal of Applied Mechanics
January 2011
MULTISCALE MECHANICAL MODELLING OF COMPLEX MATERIALS AND ENGINEERING APPLICATIONS 2
International Journal for Multiscale Computational Engineering
January 2011
Stochastic finite elements: Where is the physics?
Theoretical and Applied Mechanics
January 2011
Fractal solids, product measures and fractional wave equations
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
October 2010
Macrohomogeneity condition in dynamics of micropolar media
Archive of Applied Mechanics
July 2010
Hybrid Lattice Particle Modelling Approach for Polymeric Materials Subject to High Stra...
Polymers
March 2010
MRI-based finite element modeling of head trauma: spherically focusing shear waves
Acta Mechanica
February 2010
Fractal Solids, Product Measures and Continuum Mechanics
January 2010
Towards Poroelasticity of Fractal Materials
January 2010
Fractal Pattern Formation at Elastic-Plastic Transition in Heterogeneous Materials
Journal of Applied Mechanics
January 2010
Fractals in elastic-hardening plastic materials
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
November 2009
Fractal materials, beams, and fracture mechanics
Zeitschrift für angewandte Mathematik und Physik
November 2009
Towards scaling laws in random polycrystals
International Journal of Engineering Science
November 2009
Thermoelasticity with Finite Wave Speeds
September 2009
Moving Discontinuity Surfaces
September 2009
Time‐Periodic Solutions
September 2009
Existence and Uniqueness Theorems
September 2009
Domain of Influence Theorems
September 2009
Convolutional Variational Principles
September 2009
Thermoelastic Polynomials
September 2009
Fundamentals of Linear Thermoelasticity with Finite Wave Speeds
September 2009
Physical Aspects and Applications of Hyperbolic Thermoelasticity
September 2009
Formulations of Initial‐Boundary Value Problems
September 2009
Central Equation of Thermoelasticity with Finite Wave Speeds
September 2009
Non‐Linear Hyperbolic Rigid Heat Conductor of The Coleman Type
September 2009
Exact Aperiodic‐In‐Time Solutions of Green–Lindsay Theory
September 2009
Kirchhoff‐Type Formulas and Integral Equations in Green–Lindsay Theory
September 2009
Continuum mechanics models of fractal porous media: Integral relations and extremum pri...
Journal of Mechanics of Materials and Structures
September 2009
A derivation of the Maxwell–Cattaneo equation from the free energy and dissipation pote...
International Journal of Engineering Science
July 2009
Fractal solids, product measures and fractional wave equations
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
June 2009
Extremum and variational principles for elastic and inelastic media with fractal geomet...
Acta Mechanica
April 2009
Dedication
Acta Mechanica
April 2009
Scaling function, anisotropy and the size of RVE in elastic random polycrystals
Journal of the Mechanics and Physics of Solids
September 2008
Universal Elastic Anisotropy Index
Physical Review Letters
August 2008
Mesoscale conductivity and scaling function in aggregates of cubic, trigonal, hexagonal...
Physical Review B
June 2008
On the geodesic property of strain field patterns in elastoplastic composites
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
May 2008
Scale-Dependent Homogenization of Inelastic Random Polycrystals
Journal of Applied Mechanics
January 2008
Response of a Helix Made of a Fractional Viscoelastic Material
Journal of Applied Mechanics
January 2008
On turbulence in fractal porous media
Zeitschrift für angewandte Mathematik und Physik
December 2007
Towards Thermoelasticity of Fractal Media
Journal of Thermal Stresses
August 2007
Microstructural Randomness and Scaling in Mechanics of Materials
August 2007
Towards thermomechanics of fractal media
Zeitschrift für angewandte Mathematik und Physik
August 2007
The Effect of Imperfect Contact on the Homogenization of a Micro-periodic Helix
Mathematics and Mechanics of Solids
May 2007
Lithic raw material physical properties and use-wear accrual
Journal of Archaeological Science
May 2007
Scale Effects in Infinitesimal and Finite Thermoelasticity of Random Composites
Journal of Thermal Stresses
April 2007
On the Size of Representative Volume Element in Elastic, Plastic, Thermoelastic and Per...
March 2007
Large eddy simulation of a sheet/cloud cavitation on a NACA0015 hydrofoil
Applied Mathematical Modelling
March 2007
On the Size of Representative Volume Element in Elastic, Plastic, Thermoelastic and Per...
Materials Science Forum
March 2007
Comparisons of the Size of the Representative Volume Element in Elastic, Plastic, Therm...
International Journal for Multiscale Computational Engineering
January 2007
Yield of random elastoplastic materials
Journal of Mechanics of Materials and Structures
October 2006
On the Size of RVE in Finite Elasticity of Random Composites
Journal of Elasticity
August 2006
Mesoscale simulations of atmospheric flow and tracer transport in Phoenix, Arizona
Meteorological Applications
August 2006
Stochastic dynamics of acceleration waves in random media
Mechanics of Materials
August 2006
Particle modeling of random crack patterns in epoxy plates
Probabilistic Engineering Mechanics
July 2006
Homogenization of a Micro-Periodic Helix with Parabolic or Hyperbolic Heat Conduction
Journal of Thermal Stresses
May 2006
On the size of representative volume element for Darcy law in random media
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
April 2006
Material spatial randomness: From statistical to representative volume element
Probabilistic Engineering Mechanics
April 2006
On the scaling from statistical to representative volume element in thermoelasticity of...
Networks and Heterogeneous Media
March 2006
Thermoelastic Damping in Nanomechanical Resonators with Finite Wave Speeds
Journal of Thermal Stresses
March 2006
Particle modeling of dynamic fragmentation—II: Fracture in single- and multi-phase mate...
Computational Materials Science
February 2006
Mesoscale bounds in finite elasticity and thermoelasticity of random composites
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
January 2006
On elastic and viscoelastic helices
The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics
November 2005
Homogenization of a micro-periodic helix
The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics
November 2005
Pan American Congress of Applied Mechanics (PACAM VIII)
International Journal of Solids and Structures
October 2005
Scale effects in plasticity of random media: status and challenges
International Journal of Plasticity
June 2005
Particle modeling of dynamic fragmentation-I: theoretical considerations
Computational Materials Science
June 2005
Spectral finite element of a helix
Mechanics Research Communications
March 2005
A numerical study of plume dispersion motivated by a mesoscale atmospheric flow over a ...
Applied Mathematical Modelling
November 2004
Modeling of bone at a single lamella level
Biomechanics and Modeling in Mechanobiology
July 2004
From Lattices and Composites to Micropolar Continua
January 2004
Friction and scratch resistance of polyamide 6 modified with ionomeric ethylene/methacr...
Journal of Applied Polymer Science
January 2004
Fracture of Brittle Microbeams
Journal of Applied Mechanics
January 2004
Effects of microscale material randomness on the attainment of optimal structural shapes
Structural and Multidisciplinary Optimization
January 2004
Spectral finite elements for vibrating rods and beams with random field properties
Journal of Sound and Vibration
December 2003
ON THE REDUCTION OF CONSTANTS IN PLANAR COSSERAT ELASTICITY WITH EIGENSTRAINS AND EIGEN...
Journal of Thermal Stresses
November 2003
THERMOELASTIC WAVES IN A HELIX WITH PARABOLIC OR HYPERBOLIC HEAT CONDUCTION
Journal of Thermal Stresses
November 2003
Random formation, inelastic response and scale effects in paper
Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering...
May 2003
On the distance to blow-up of acceleration waves in random media
Continuum Mechanics and Thermodynamics
February 2003
Erratum
January 2003
Apparent thermal conductivity of periodic two-dimensional composites
Computational Materials Science
November 2002
Towards Stochastic Continuum Thermodynamics
Journal of Non-Equilibrium Thermodynamics
January 2002
Lattice models in micromechanics
Applied Mechanics Reviews
January 2002
A micromechanically based couple-stress model of an elastic orthotropic two-phase compo...
European Journal of Mechanics - A/Solids
January 2002
Error Analysis With Applications in Engineering
Journal of Applied Mechanics
January 2002
Microstructural Randomness Versus Representative Volume Element in Thermomechanics
Journal of Applied Mechanics
January 2002
Apparent elastic and elastoplastic behavior of periodic composites
International Journal of Solids and Structures
January 2002
Michell trusses in the presence of microscale material randomness: limitation of optima...
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
July 2001
On geometric acoustics in random, locally anisotropic media
Continuum Mechanics and Thermodynamics
April 2001
Crack patterns in plates with randomly placed holes: A maximum entropy approach
Mechanics Research Communications
March 2001
A micromechanically based couple–stress model of an elastic two-phase composite
International Journal of Solids and Structures
March 2001
Scale and boundary conditions effects in elastic properties of random composites
Acta Mechanica
March 2001
Scale-dependent bounds on effective elastoplastic response of random composites
Journal of the Mechanics and Physics of Solids
March 2001
Mechanics of Random and Multiscale Microstructures
January 2001
Mechanics of Random Media as a Tool for Scale Effects in Ice Fields
January 2001
Mechanics of Random Materials
January 2001
Universal material property in conductivity of planar random microstructures
August 2000
Particle sieving in a random fiber network
Applied Mathematical Modelling
July 2000
Scope of Olefin Polymerization Nickel Catalysts
Science
June 2000
Microstructure-based stochastic finite element methods for elastostatics and elastodyna...
April 2000
Guest-editor's introduction
Mechanics of Materials
December 1999
Scale effects in materials with random distributions of needles and cracks
Mechanics of Materials
December 1999
Cinématique et transfert de contraintes dans des réseaux quasi plans aléatoires de fibres
Comptes Rendus de l Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy
November 1999
Microstructural disorder, mesoscale finite elements and macroscopic response
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
September 1999
On the growth and decay of acceleration waves in random media
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
July 1999
Couple-stress moduli and characteristics length of a two-phase composite
Mechanics Research Communications
July 1999
Discussion: “Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation” ...
Journal of Applied Mechanics
January 1999
Stochastic finite elements as a bridge between random material microstructure and globa...
Computer Methods in Applied Mechanics and Engineering
January 1999
Preface
International Journal of Solids and Structures
July 1998
Random field models of heterogeneous materials
International Journal of Solids and Structures
July 1998
Fracture of random matrix-inclusion composites: scale effects and statistics
International Journal of Solids and Structures
July 1998
Scale and boundary conditions effects in elasticity and damage mechanics of random comp...
January 1998
Preface
Engineering Fracture Mechanics
November 1997
Damage patterns and constitutive response of random matrix-inclusion composites
Engineering Fracture Mechanics
November 1997
Preface
Engineering Fracture Mechanics
May 1997
Spring network models in elasticity and fracture of composites and polycrystals
Computational Materials Science
December 1996
Micromechanically based stochastic finite elements: length scales and anisotropy
Probabilistic Engineering Mechanics
October 1996
Brittle intergranular failure in 2D microstructures: Experiments and computer simulations
Acta Materialia
October 1996
Damage maps of disordered composites: A spring network approach
International Journal of Fracture
September 1996
Bounding of effective thermal conductivities of multiscale materials by essential and n...
July 1996
Composites with functionally graded interphases: Mesocontinuum concept and effective tr...
Acta Materialia
May 1996
The cauchy and characteristic boundary value problems of random rigid-perfectly plastic...
International Journal of Solids and Structures
March 1996
Towards Scale-Dependent Constitutive Laws for Plasticity and Fracture of Random Heterog...
January 1996
Micromechanically Based Constitutive Laws and Random Fields in Solid Mechanics: Elastic...
January 1996
Stress Invariance in Planar Cosserat Elasticity
Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences
November 1995
Wavefront propagation in a class of random microstructures—II. Non-Linear elastic grains
International Journal of Non-Linear Mechanics
November 1995
Linear elasticity of planar Delaunay networks. III: Self-consistent approximations
Acta Mechanica
March 1995
Planar Cosserat Elasticity of Materials With Holes and Intrusions
Applied Mechanics Reviews
January 1995
Special Issue on Micromechanics of Random Media: Prolegomena
Applied Mechanics Reviews
January 1994
Models: Micro-Macro
January 1994
Micromechanics as a Basis of Continuum Random Fields
Applied Mechanics Reviews
January 1994
Influence of Random Geometry on Effective Properties and Damage Formation In Composite ...
Journal of Engineering Materials and Technology
January 1994
On the critical amplitudes of acceleration wave to shock wave transition in white noise...
Zeitschrift für angewandte Mathematik und Physik
September 1993
Random fields and processes in mechanics of granular materials
Mechanics of Materials
August 1993
Micromechanics as a basis of random elastic continuum approximations
Probabilistic Engineering Mechanics
January 1993
Micromechanics as a Basis of Stochastic Finite Elements and Differences: An Overview
Applied Mechanics Reviews
January 1993
IUTAM Invited Symposium Paper Abstracts
Applied Mechanics Reviews
January 1993
Fabrication of two-dimensional microstructures in Fe-3.25%Si Sheet
Scripta Metallurgica et Materialia
February 1992
Plastic Flow of Random Media: Micromechanics, Markov Property and Slip-Lines
Applied Mechanics Reviews
January 1992
Stochastic Hill's equations for the study of errant rocket burns in orbit
Celestial Mechanics and Dynamical Astronomy
January 1992
Random Fields and Processes in Mechanics of Granular Materials
January 1992
Percolation Models as a Basis of Material Failure
January 1991
Transient Waves in a Class of Random Heterogeneous Media
Applied Mechanics Reviews
January 1991
Wavefront propagation in a class of random microstructures—1. bilinear elastic grains
International Journal of Non-Linear Mechanics
January 1991
On Wavefront Propagation in Random Nonlinear Media
January 1991
A generalization of thermodynamic orthogonality to random media
Zeitschrift für angewandte Mathematik und Physik
September 1990
Micromechanics model of ice fields?II: Monte Carlo simulation
Pure and Applied Geophysics
April 1990
Linear elasticity of planar delaunay networks. Part II: Voigt and Reuss bounds, and mod...
Acta Mechanica
March 1990
Micromechanics model of ice fields?I: Microscale constitutive laws
Pure and Applied Geophysics
February 1990
Bounds on constitutive response for a class of random material microstructures
Computers & Structures
January 1990
Linear elasticity of planar delaunay networks: Random field characterization of effecti...
Acta Mechanica
November 1989
Entropy and fractals in analysis of damage phenomena
April 1989
A master-slave manipulator for excavation and construction tasks
Robotics and Autonomous Systems
April 1989
Damage in a Random Microstructure: Size Effects, Fractals, and Entropy Maximization
Applied Mechanics Reviews
January 1989
Mechanics of damage in a random granular microstructure: Percolation of inelastic phases
International Journal of Engineering Science
January 1989
Wavefront propagation in discrete random media via stochastic huygens' minor principle
Journal of the Franklin Institute
January 1989
Graph approach to the constitutive modelling of heterogeneous solids
Mechanics Research Communications
July 1987
Propagation of Rayleigh, Scholte and Stoneley waves along random boundaries
Probabilistic Engineering Mechanics
June 1987
Morphology, Microstructure and Micromechanics of Ice Fields
January 1987
Rayleigh wave scattering by a wedge: A boundary method approach
Mechanics Research Communications
January 1986
Stress Wave Propagation in Discrete Random Solids
January 1984
Probabilistic approach to the wave propagation in structured solids
International Journal of Engineering Science
January 1984
Dynamics of a Flexible Cylinder in Subsonic Axial Flow
AIAA Journal
November 1981
Dynamics of a flexible cylinder in subsonic axial
April 1981