Mechanics of Material Forces [1 ed.] 0387262601, 9780387262604, 9780387262611, 038726261X

Table of contents :
On Establishing Balance and Conservation Laws in Elastodynamics....Pages 1-11
From Mathematical Physics to Engineering Science....Pages 13-22
The Unifying Nature of the Configurational Force Balance....Pages 25-32
Generalized Stefan Models....Pages 33-41
Explicit Kinetic Relation from “First Principles”....Pages 43-50
Surface and Bulk Growth Unified....Pages 53-64
Mechanical and Thermodynamical Modelling of Tissue Growth Using Domain Derivation Techniques....Pages 65-75
Material Forces in the Context of Biotissue Remodelling....Pages 77-84
Error-Controlled Adaptive Finite Element Methods in Nonlinear Elastic Fracture Mechanics....Pages 87-94
Material Force Method. Continuum Damage & Thermo-Hyperelasticity....Pages 95-104
Discrete Material Forces in the Finite Element Method....Pages 105-114
Computational Spatial and Material Settings of Continuum Mechanics. An Arbitrary Lagrangian Eulerian Formulation....Pages 115-125
Self-Driven continuous Dislocations and Growth....Pages 129-139
Role of the Non-Riemannian Plastic Connection in Finite Elasto-Plasticity with Continuous Distribution of Dislocations....Pages 141-148
Peach-Koehler Forces within the Theory of Nonlocal Elasticity....Pages 149-158
On the Material Energy-Momentum Tensor in Electrostatics and Magnetostatics....Pages 161-171
Continuum Thermodynamic and Variational Models for Continua with Microstructure and Material Inhomogeneity....Pages 173-180
A Crystal Structure-Based Eigentransformation and its Work-Conjugate Material Stress....Pages 181-189
Teaching Fracture Mechanics Within the Theory of Strength-of-Materials....Pages 193-202
Configurational Thermomech-Anics and Crack Driving Forces....Pages 203-210
Structural Optimization by Material Forces....Pages 211-218
On Structural Optimisation and Configurational Mechanics....Pages 219-228
Configurational Forces and the Propagation of a Circular Crack in an Elastic Body....Pages 231-239
Thermoplastic M Integral and Path Domain Dependence....Pages 241-249
Peeling Tapes....Pages 253-260
Stability and Bifurcation with Moving Discontinuities....Pages 261-268
On Fracture Modelling Based on Inverse Strong Discontinuities....Pages 269-277
Maxwell’s Relation for Isotropic Bodies....Pages 281-288
Driving Force in Simulation of Phase Transition Front Propagation....Pages 289-297
Modeling of the Thermal Treatment of Steel With Phase Changes....Pages 299-308
Configurational Stress Tensor in Anisotropic Ductile Continuum Damage Mechanics....Pages 309-318
Some Class of SG Continuum Models to Connect Various Length Scales in Plastic Deformation....Pages 319-326
Weakly Nonlocal Theories of Damage and Plasticity Based on Balance of Dissipative Material Forces....Pages 327-337