Material Instabilities in Elastic and Plastic Solids

This book collects recent theoretical developments in the area of material instability in elastic and plastic solids along with related analytical and numerical methods and applications. The existing different approaches to instability phenomena in metal single crystals, polycristals and in geomaterials are presented with the emphasis laid on mutual relations and on unifying concepts, including elliptictly loss and the energy criterion. Quasi-static bifurcation, initiation of single or multiple shear bands and post-critical strain localization are examined along with dynamic phenomena as wave propagation, moving shocks, internal snap-through and instability of flutter type. This gives an overview of a variety of material instability problems, methods and applications.

Bifurcation and Instability of Non-Associative Elastoplastic Solids (D. Bigoni).- Thermodynamic Analysis of Shock Waves in General Media: Applications to Elastic-Plastic Shock Waves and Ductile Crack Growth (W. J. Drugan).- Flutter Instability and Ill-Posedness in Solids and Fluid-Saturated Porous Media (B. Loret, F. M. F. Simões, J. A. C. Martins).- Elastic and Pseudo-Elastic Instability and Bifurcation (R. W. Ogden).- Theory of Material Instability in Incrementally Nonlinear Plasticity (H. Petryk).- Post-Critical Plastic Deformation Pattern in Incrementally Nonlinear Materials at Finite Strain (K. Thermann).