Publisher Description

Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

The book gives a comprehensive view of the present ability to take into account the microstructure and texture evolution in building up engineering models of the plastic behaviour of polycrystalline materials at large strains. It is designed for postgraduate students, research engineers and academics that are interested in using advanced models of the mechanical behaviour of polycrystalline materials.

Historically, a major problem for the study of the large deformation of crystalline solids has been the apparent lack of unity in experimentally determined stress-strain functions. The writer's discovery in 1949 of the unexpectedly high velocity of incremental loading waves in pre-stressed large deformation fields emphasized to him the pressing need for the independent, systematic experimental study of the subject, to provide a firm foundation upon which physically plausible theories for the finite deformation of crystalline solids could be constructed. Such a study undertaken by the writer at that time and continued uninterruptedly to the present, led in 1956 to the development of the diffraction grating experiment which permitted, for the first time, the optically accurate determination of the strain-time detail of non-linear finite amplitude wave fronts propagating into crystalline solids whose prior history was precisely known. These experimental diffraction grating studies during the past decade have led to the discovery that the uniaxial stress-strain functions of 27 crystalline solids are unified in a single, generalized stress-strain function which is described, much of it hitherto unpublished, in the present monograph. The detailed study of over 2,000 polycrystal and single crystal uni axial stress experiments in 27 crystalline solids, in terms of the variation of a large number of pertinent parameters, has provided new unified pat terns of understanding which, it is hoped, will be of interest and value to theorists and experimentalists alike.

This book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline. The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.

Publisher Description

Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the su

VISCOPLASTIC FLOW IN SOLIDS PRODUCED BYSHEAR BANDING A complete overview of the topic of viscoplastic flow in solids produced by shear banding This book presents novel ideas about inelastic deformation and failure of solids in a clear, concise manner. It exposes readers to information that will allow them to acquire the competence and ability to deal with up-to-date manufacturing and failure processes. It also portrays a new understanding of deformation processes. Finally, shear banding’s typical mechanism becomes the active cause of viscoplastic flow and not the passive effect. Viscoplastic Flow in Solids Produced by Shear Banding begins by discussing the new physical model of multilevel hierarchy and the evolution of micro-shear bands. In conclusion, it examines the difficulties of applying a direct multiscale integration scheme and extends the representative volume element (RVE) concept using the general theory of the singular surfaces of the microscopic velocity field sweeping out the RVE. This book reveals a new formulation of the shear strain rate generated by the consecutive systems of shear bands in the workflow integration approach. This book: Presents fresh ideas about inelastic deformation and failure of materials Provides readers with the ability to deal with up-to-date manufacturing and failure processes Sheds light on the interdisciplinary view of deformation processes in solids Viscoplastic Flow in Solids Produced by Shear Banding will appeal to researchers studying physical foundations of inelastic behaviour and failure of solid materials, dealing with analysis and numerical simulations of manufacturing forming processes. It is also an excellent resource for graduate and postgraduate students of material science and mechanical engineering faculties.

An important collection of review papers by internationally recognized experts on the broad area of the mechanics of solids.