Description
WIT Press Elements of Plasticity Theory and Computation 2009 Edition by I. Doltsinis
Plasticity, the ability to undergo permanent deformation, is a property of metallic materials that has great significance for the load carrying behaviour of engineering structures, and for the manufacturing of structural components by forming processes. Bridging the gap between classical theory and modern computational techniques, this book deals with the load carrying aspect of plasticity. The text focuses on the most important elements of theory and computation using matrix notation, whilst the development of analytical solutions is avoided except where these aid illustration or verification. Some complementary aspects of creep and viscoplasticity are considered, and a number of selected applications from engineering practice are used to demonstrate the usage of computational techniques. Aimed equally at graduate students, practicing engineers and consultants in areas such as civil, mechanical, automotive and aerospace engineering, this updated and revised Elements of Plasticity includes results of research and development work carried out by the author and his team.It can be used to increase the reader's understanding of computational concepts or tools applied to the analysis of elastoplastic structures and solids, or to further develop their knowledge of the subject. Table of Contents : Preface to the second edition Preface to the first edition Preliminaries Introduction; Matrix notation Chapter 1: Elastoplastic material behaviour The uniaxial case; Plastic yielding under multiaxial conditions; Hardening rules; A general view on elastoplastic constitutive description; Problems Chapter 2: Elastoplastic response of structures and solids Considerations on elastoplastic structures; Elastoplastic analysis of solids; Distinct cases; Problems Chapter 3: Load-carrying capacity of perfectly plastic systems Introductory remarks; Static limit load theorem; Kinematic limit load theorem; Simple applications of the limit load theorems; Problems Chapter 4: Theory of shakedown Structures under time-variant loading; Static shakedown theorem (Melan); Kinematic shakedown theorem (Koiter); Application of shakedown theory Chapter 5: Development of finite element solution methods The systematics of the finite element method; Elastic computation procedure; Algorithms for plastic flow; Integration of inelastic stress-strain relations; Elastoplastic computation Chapter 6: Extension of inelastic description Influence of temperature; Viscoelasticity and creep; Viscoplasticity; Effects of inertia; Pressure sensitive materials Chapter 7: Application of finite element analysis Remarks on numerical solutions; Pressure vessel with nozzle; Aluminium sheet with circular hole: comparison of analysis with experiment; Heat shrink fitting of a wheel; Thermal cycling of cylindrical container; Vessel for liquid zinc; Creep behaviour of pressure vessel; Viscoplastic analysis of a thermal shock problem; Dynamic response of a beam under impact loading; Soil stresses connected with the construction and operation of a traffic tunnel