Elastoplasticity Theory

ISBN-13: 9783642426551 / Angielski / Miękka / 2015 / 455 str.

Koichi Hashiguchi

Opis

This book details the mathematics and continuum mechanics necessary as a foundation of elastoplasticity theory. It explains physical backgrounds with illustrations and provides descriptions of detailed derivation processes.

Recenzje

"This book gives an exhaustive explanation of elastoplasticity, which is intended to be understood easily and clearly not only by researchers but also by beginners in the field of applied mechanics, without reading any other book. ... The authors uses a clear and compact direct notation, and simple figures are helpful for understanding." (Albrecht Bertram, zbMATH 1318.74001, 2015)

Spis treści

Tensor Analysis.- Motion and Strain (rate).- Conservation Laws and Stress Tensors.- Objectivity and Objective and Corotational Rate Tensors.- Elastic Constitutive Equations.- Basic Formulations for Elastoplastic Constitutive Equations.- Unconventional Elastoplasticity Model: Subloading Surface Model.- Cyclic Plasticity Model: Critical Reviews and Assessments.- Extended Subloading Surface Model.- Chapter 10 Constitutive Equations of Metals.- Constitutive Equations of Soils.- Viscoplastic Constitutive Equations.- Corotational Rate Tensor.- Localization of Deformation.- Constitutive Equation for Friction: Subloading-friction Model.- Return-mapping and Consistent Tangent Modulus.

Blurb

This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The present second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study the essentials of elastoplasticity steadily and effectively and will remain universally in the history of elastoplasticity. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and their rates. Subsequently, constitutive equations of elastoplastic and viscoplastic deformations for monotonic, cyclic and non-proportional loading behavior in a general rate and their applications to metals and soils are described in detail, and constitutive equations of friction behavior between solids and its application to the prediction of stick-slip phenomena are delineated. In addition, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor are explained in order to enforce the FEM analyses. All the derivation processes and formulations of equations are described in detail without an abbreviation throughout the book.

The distinguishable features and importance of this book is the comprehensive description of fundamental concepts and formulations including the objectivity of

tensor and constitutive equations, the objective time-derivative of tensor functions, the associated flow rule, the loading criterion, the continuity and smoothness conditions and their substantial physical interpretations in addition to the wide classes of reversible/irreversible constitutive equations of solids and friction behavior between solids.