Heterogeneous Materials I: Linear Transport and Optical Properties: 22 (Interdisciplinary Applied Mathematics, 22) - Hardcover

Sahimi, Muhammad

Hardcover

ISBN 10: 0387001670 ISBN 13: 9780387001678

Publisher: Springer-Verlag New York Inc., 2003

Synopsis

4 Derivation of Elastic Networks from Continuum Elasticity 8. 6 Rigidity Percolation 8. 5 Mapping between rigidity percolation and resistor networks 8. 6 Nature of phase transition in rigidity percolation 8. 8 The Critical Path Method 8. 11 Elastic Percolation Networks with Bond-Bending Forces 8.

About this title

From the Back Cover

This book describes and discusses the properties of heterogeneous materials. The properties considered include the conductivity (thermal, electrical, magnetic), elastic moduli, dielectrical constant, optical properties, mechanical fracture, and electrical and dielectrical breakdown properties. Both linear and nonlinear properties are considered. The nonlinear properties include those with constitutive nonlinearities as well as threshold nonlinearities, such as brittle fracture and dielectric breakdown.

A main goal of this book is to compare two fundamental approaches to describing and predicting materials properties, namely, the continuum mechanics approach and those based on the discrete models. The latter models include the lattice models and the atomistic approaches.

The book provides comprehensive and up-to-date theoretical and computer simulation analysis of materials properties. Typical experimental methods for measuring all of these properties are outlined, and comparison is made between the experimental data and the theoretical predictions. Volume I covers linear properties, while volume II considers nonlinear and fracture and breakdown properties, as well as atomistic modeling.

This multidisciplinary book will appeal to applied physicists, materials scientists, chemical and mechanical engineers, chemists, and applied mathematicians.

Muhammad Sahimi is Professor and Chairman of Chemical Engineering at the University of Southern California in Los Angeles, and Adjunct Professor of Physics at the Institute for Advanced Studies in Basic Sciences in Zanjan, Iran. His current research interests include transport and mechanical properties of heterogeneous materials: flow, diffusion and reaction in porous media, and large-scale scientific complications. Among his honors are the Alexander von Humbodt Foundation Research Award, and the Kapitza Gold Medal.

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 2003
• Language: English
• ISBN 10: 0387001670
• ISBN 13: 9780387001678
• Binding: Hardcover
• Number of pages: 712