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This monograph provides a comprehensive and self-contained treatment of continuum physics, illustrating a systematic approach to the constitutive equations for wide-ranging classes of materials.  Derivations of results are detailed through careful proofs, and the contents have been developed to ensure a self-contained and consistent presentation.Part I reviews the kinematics of continuous bodies and illustrates the general setting of balance laws.  Essential preliminaries to continuum physics – such as reference and current configurations, transport relations, singular surfaces,...

This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials, " held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques fo the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. "Modelling of Smart Materials" is devoted to...