Overview

This book covers new theoretical and numerical developments in the mechanics of material forces. Conceptually speaking, common continuum mechanics in the sense of Newton -- which gives rise to the notion of spatial (mechanical) forces -- considers the response to variations of spatial placements of ""physical particles"" with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby -- which gives rise to the notion of material (configurational) forces -- is concerned with the response to variations of material placements of ""physical particles"" with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler force, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics.

Full Product Details

Author:   Paul Steinmann ,  Gérard A. Maugin
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   11
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.545kg
ISBN:  

9781441938794

ISBN 10:   1441938796
Pages:   338
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

4d Formalism.- On Establishing Balance and Conservation Laws in Elastodynamics.- From Mathematical Physics to Engineering Science.- Evolving Interfaces.- The Unifying Nature of the Configurational Force Balance.- Generalized Stefan Models.- Explicit Kinetic Relation from “First Principles”.- Growth & Biomechanics.- Surface and Bulk Growth Unified.- Mechanical and Thermodynamical Modelling of Tissue Growth Using Domain Derivation Techniques.- Material Forces in the Context of Biotissue Remodelling.- Numerical Aspects.- Error-Controlled Adaptive Finite Element Methods in Nonlinear Elastic Fracture Mechanics.- Material Force Method. Continuum Damage & Thermo-Hyperelasticity.- Discrete Material Forces in the Finite Element Method.- Computational Spatial and Material Settings of Continuum Mechanics. An Arbitrary Lagrangian Eulerian Formulation.- Dislocations & Peach-Koehler-Forces.- Self-Driven continuous Dislocations and Growth.- Role of the Non-Riemannian Plastic Connection in Finite Elasto-Plasticity with Continuous Distribution of Dislocations.- Peach-Koehler Forces within the Theory of Nonlocal Elasticity.- Multiphysics & Microstructure.- On the Material Energy-Momentum Tensor in Electrostatics and Magnetostatics.- Continuum Thermodynamic and Variational Models for Continua with Microstructure and Material Inhomogeneity.- A Crystal Structure-Based Eigentransformation and its Work-Conjugate Material Stress.- Fracture & Structural Optimization.- Teaching Fracture Mechanics Within the Theory of Strength-of-Materials.- Configurational Thermomech-Anics and Crack Driving Forces.- Structural Optimization by Material Forces.- On Structural Optimisation and Configurational Mechanics.- Path Integrals.- Configurational Forces and the Propagation of a CircularCrack in an Elastic Body.- Thermoplastic M Integral and Path Domain Dependence.- Delamination & Discontinuities.- Peeling Tapes.- Stability and Bifurcation with Moving Discontinuities.- On Fracture Modelling Based on Inverse Strong Discontinuities.- Interfaces & Phase Transition.- Maxwell’s Relation for Isotropic Bodies.- Driving Force in Simulation of Phase Transition Front Propagation.- Modeling of the Thermal Treatment of Steel With Phase Changes.- Plasticity & Damage.- Configurational Stress Tensor in Anisotropic Ductile Continuum Damage Mechanics.- Some Class of SG Continuum Models to Connect Various Length Scales in Plastic Deformation.- Weakly Nonlocal Theories of Damage and Plasticity Based on Balance of Dissipative Material Forces.

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