Multiscale Modeling in Continuum Mechanics and Structured Deformations

✍ Scribed by Gianpetro Del Piero, David R. Owen (eds.)

Publisher: Springer-Verlag Wien
Year: 2004
Tongue: English
Leaves: 278
Series: International Centre for Mechanical Sciences 447
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of the book is to present some recent progress in two active and related areas of continuum mechanics: fracture mechanics and structured deformations. The book may be divided into two parts. The first part deals with the theory of structured deformations, a basic concept that can be used to describe smooth and nonsmooth geometrical changes at different length scales, including, for example, both slip and microslip and, of particular interest in the second part of this course, both macroscopic fracture and microfracture. The work presents an updated account of the state-of-the-art in the subject.

✦ Table of Contents

Front Matter....Pages ii-vii
Energy Minimization for Isotropic Nonlinear Elastic Bodies....Pages 1-51
Variational problems of crack equilibrium and crack propagation....Pages 53-81
Griffith Theory Revisited....Pages 83-123
Foundations of the Theory of Structured Deformations....Pages 125-175
Second-Order Structured Deformations: Approximation Theorems and Energetics....Pages 177-202
Crystalline Plasticity and Structured Deformations....Pages 203-230
Elasticity with Disarrangements....Pages 231-275

✦ Subjects

Continuum Mechanics and Mechanics of Materials; Computational Intelligence; Geoengineering, Foundations, Hydraulics; Functional Analysis; Mathematical Methods in Physics; Mechanics

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