Nonlinear Continuum Mechanics And Large Inelastic Deformations
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Nonlinear Continuum Mechanics and Large Inelastic Deformations
Author: Yuriy I. Dimitrienko
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-12-25
The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.
Nonlinear Continuum Mechanics for Finite Element Analysis
Author: Javier Bonet
language: en
Publisher: Cambridge University Press
Release Date: 1997-09-28
A unified treatment of nonlinear continuum analysis and finite element techniques.
Nonlinear Solid Mechanics for Finite Element Analysis: Statics
Author: Javier Bonet
language: en
Publisher: Cambridge University Press
Release Date: 2016-06-23
A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.