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The Mechanics of Constitutive Modeling
Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling – Thermoplasticity - Uniqueness and discontinuous bifurcations • More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. • Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. • Demonstrates each topic in a complete and self-contained framework, with extensive referencing.
Introduction to the Finite Element Method
Intended to be used as an introductory text for students in various fields of engineering, this book deals with the formulation of the finite element method for arbitrary differential equations. The weak formulation of differential equations is used in combination with the Galerkin method.
The Finite Element Method
Designed for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.
General Continuum Mechanics and Constitutive Modeling
General Continuum Mechanics and Constitutive Modeling starts with a comprehensive treatment of tensor algebra, followed by coverage of strains, stresses, and thermodynamics. General principles for constitutive modeling are presented, including objectivity, Lie-derivative, and covariance, as are issues central to configurational mechanics, such as polyconvexity and invariance principles used to establish balance equations. The book includes a chapter on hyperelasticity which analyzes isotropic and anisotropic materials and also discusses the distinction between energetic and entropic material response. The finite element method and classic plasticity based on hypoelasticity are each covered, and the book concludes with a chapter covering plasticity based on hyperplasticity, including isotropy, anisotropy, thermoplasticity, and crystal plasticity.
Finite Element Method
The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality
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An Introduction to Structural Optimization
This book has grown out of lectures and courses given at Linköping University, Sweden, over a period of 15 years. It gives an introductory treatment of problems and methods of structural optimization. The three basic classes of geometrical - timization problems of mechanical structures, i. e. , size, shape and topology op- mization, are treated. The focus is on concrete numerical solution methods for d- crete and (?nite element) discretized linear elastic structures. The style is explicit and practical: mathematical proofs are provided when arguments can be kept e- mentary but are otherwise only cited, while implementation details are frequently provided. Moreover, since the text has an emp...
