Material Instabilities in Solids
René De Borst, Erik van der Giessen
Wiley, Oct 15, 1998 - Science - 576 pages
Modern, powerful computational methods, combined with major improvements in experimental techniques, have resulted in significant advances in the study of material instabilities. This book presents the latest research in the field of material instabilities in solid materials (soils, concrete, rocks, ceramics, metals, polymers and composites) and associated phenomena, such as strain localisation, fracture and failure in general. Collected within this volume are the cutting edge contributions from the prestigious IUTAM Symposium of 1997. A broad spectrum of materials is covered, with the emphasis on common aspects of failure, and a full range of experimental, analytical and numerical methods are addressed. In addition, the state-of-the-art, and recent advances covered in the book are summarised in the introductory chapter. No other treatise is available which is so up to date and compiled by such a broad spectrum of leading researchers. This book will find a wide appeal amongst practising engineers, researchers and students in civil, mechanical and aerospace engineering, and researchers and students in materials science.
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On the Effects of Inertial Coupling on the WaveSpeeds
NonLinear Model and Analysis
Thermodynamics of Crystal Viscoplasticity and Instability
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Aifantis analysis axial Bazant behavior biaxial bifurcation boundary conditions cells coefficient compression computed concrete constitutive equation constitutive model continuum crack curve damage model denotes density dependence Desrues deviatoric dislocation displacement effect elastic elastic modulus energy entanglement points evolution experimental failure Figure finite element fracture Fracture Mechanics function Giessen gradient theory hardening incremental initial internal length lattice length scale linear linear elastic loading localisation localization analysis macroscopic Material Instabilities matrix Mech Mechanics mesh microstructure mode modulus nonlinear nonlocal number of entanglement numerical obtained Perzyna plane strain plastic deformation plastic flow plastic strain polycarbonate polymers post-peak predicted problem propagation response shear band shear stress shown in Fig simple shear simulation single crystals slip system softening solution specimen strain gradient strain localization strain rate stress stress-strain strong discontinuity structure tensile tension tensor triaxial uniaxial Vardoulakis variable vector velocity viscoplastic void wave yield Young's modulus zero zone