The Mechanics Of Constitutive Modeling
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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.
Constitutive Modelling of Solid Continua
This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.
The Mechanics of Constitutive Modeling
Author: Niels Saabye Ottosen
language: en
Publisher: Elsevier Science Limited
Release Date: 2005
Constitutive modelling (or mechanics) is the most intensive research field within solid mechanics. This work combines constitutive modelling and the corresponding numerical solution strategies. It is geared towards a presentation of various important concepts, and contains specific models that are discussed as it covers this broad topic. For every area considered, the exposition is self-contained and provided with extensive references for further reading. The book is divided into two complementary volumes: Part1: Classical Topics, and Part2: Numerical and Thermodynamical Topics. This is an excellent reference providing a broad treatment of the state-of-the art for all levels. It will be an essential desk reference for post-docs, as well as researchers at all levels, not only in solid mechanics, but also computational mechanics and materials science