Multiscale Modeling of Heterogenous Materials

From microstructure to macro-scale properties

Multiscale Modeling of Heterogenous Materials

Edited by

Oana Cazacu, University of Florida, Shalimar, FL, USA

ISBN : 9781848210479

Publication Date : August 2008

Hardcover 368 pp

165.00 USD



This book provides a detailed overview of recent advances in computational methods for linking phenomena in systems that span large ranges of time and spatial scales. Particular attention is given to predicting macroscopic properties based on subscale behaviors. The goal realized is the ability to use mathematical and computational tools to relate atomic or molecular structures to bulk materials properties, and hence to predict the performance of materials in real-world applications.

Given the book’s extensive coverage of multiscale methods for modeling both metallic and geological materials, it will be invaluable reading for graduate students, scientists and practitioners alike.


1. Accounting for Plastic Strain Heterogeneities in Modeling Polycrystalline Plasticity: The Microstructure-Based Laminate Approaches, Patrick Franciosi, LPMTM, University of Paris XIII, Villetaneuse, France.
2. Discrete Dislocation Dynamics: Principles and Recent Applications, Marc Fivel, SIMAP-GPM2, CNRS/INPG, Grenoble, France.
3. Multiscale Modeling of Large Strain Phenomena in Polycrystalline Metals: A New Constitutive Update Scheme for Rate-Dependent Crystal Plasticity in FEM, Kaan Inal, University of Waterloo, Waterloo, Canada and Raj. K. Mishra, General Motors Research & Development, Warren, USA.
4. Earth Mantle Rheology Inferred from Homogenization Theories, Olivier Castelnau, LPMTM, University Paris XIII, Villetaneuse, France, R.A. Lebensohn, Los Alamos National Laboratory, USA, P. Ponte-Castaneda, University Pennsylvania, Philadelphia, USA and Donna Balackmann, University of California, San Diego, USA.
5. On Modelling Plastic Anisotropy and Strength Differential Effects in Metallic Materials, Oana Cazacu, University of Florida/REEF, Shalimar, FL, USA and Frederic Barlat, Graduate Institute of Ferrous Technology, Pohang University of Science and Technology, Pohang, Korea.
6. Shear Bands in Steel Plates under Impact Loading, G. Voyadjis and Amin H. Almasri, Louisiana State University, Baton Rouge, LA, USA.
7. Viscoplastic Modeling of Anisotropic Textured Metals, Brian Plunkett, Air Force Research Laboratory, Eglin, FL, USA and Oana Cazacu, University of Florida/REEF, Shalimar, FL, USA.
8. Non-linear Elastic Inhomogeneous Materials: Uniform Strain Fields and Exact Relations, Q.-C. He, B. Bary and H. Le Quang, University of Paris Est, France.
9. 3D Continuous and Discrete Modeling of Bifurcations in Geomaterials, F. Prunier, F. Darve, L. Sibille and F. Nicot, Laboratoire Sols Solides Structures, UJF-INPG-CNRS, Grenoble, France.
10. Non-linear Behavior of Micro-Cracked Geomaterials: Anisotropic Damage and Coupling with Plasticity, Djimedo Kondo, Qi-zhi Zhu, Vincent Monchiet and Jian-fu Shao, Laboratoire de Mécanique de Lille, Villeneuve d’Ascq, France.
11. Bifurcations in Granular Geomaterials: A Multiscale Approach, F. Prunier, F. Darve, L. Sibille and F. Nicot, Laboratoire Sols Solides Structures, UJF-INPG-CNRS, Grenoble, France.
12. Direct Scale Transition Approach for Highly Filled Viscohyperelastic Particulate Composites: Computational Study, Carole Nadot-Martin, Marion Touboul, André Dragon and Alain Fanget, Laboratoire de Mécanique et de Physique des Matériaux, UMR-CNRS 6617, ENSMA, Futuroscope-Chasseneu, France.
13. A Modified Incremental Homogenization Approach for Nonlinear Behaviors of Heterogeneous Cohesive Geomaterials, Ariane Abou-Chakra Guery, Fabrice Cormery, Jian-Fu Shao, Djimedo Kondo, Laboratoire de Mécanique de Lille, Villeneuve d’Ascq, France.
14. Meso- to Macro-Scale Probability Aspects for Size Effects and Heterogeneous Materials Failure, J.B. Colliat, M. Hautefeuille and A. Ibrahimbegovic, Ecole Normale Supérieure de Cachan, Cachan, France.
15. Damage and Permeability in Quasi-Brittle Materials: From Diffuse to Localised Properties, Gilles Pijaudier-Cabot, LFC-UMR 5150, University of Pau et des Pays de l’Adour, CNRS/Total, France, Frederic Dufour and Marta Choinska, GeM, UMR 6183, Ecole Centrale de Nantes, University of Nantes, CNRS, France.
16. A Multi-Scale Modeling of Granular Materials with Surface Energy Forces, P.-Y. Hicher, Ecole Centrale de Nantes, Nantes, France and C.S. Chang, University Massachusetts, Amherst, USA.
17. Length Scales in Mechanics of Granular Solids, F. Radjai, Laboratoire de Mécanique et Genie Civil, University Montpellier 2, France.

About the authors/editors

Oana Cazacu is an Associate Professor in the Department of Mechanical and Aerospace Engineering at the University of Florida/REEF, Florida, USA. Her research mainly concerns modeling anisotropy in solids.