Computational Continuum Mechanics

by Ahmed A. Shabana

Overview

This book presents the nonlinear theory of continuum mechanics and demonstrates its use in developing nonlinear computer formulations for large displacement dynamic analysis. Basic concepts used in continuum mechanics are presented and used to develop nonlinear general finite element formulations that can be effectively used in large displacement analysis. The book considers two nonlinear finite element dynamic formulations: a general large deformation finite element formulation and a formulation that can efficiently solve small deformation problems that characterize very stiff structures. The book presents material clearly and systematically, assuming the reader has only basic knowledge in matrix and vector algebra and dynamics. The book is designed for use by advanced undergraduates and first-year graduate students. It is also a reference for researchers, practicing engineers, and scientists working in computational mechanics, bio-mechanics, computational biology, multibody system dynamics, and other fields of science and engineering using the general continuum mechanics theory.

Product Details

ISBN-13:	9780521174381
Publisher:	Cambridge University Press
Publication date:	09/09/2010
Edition description:	Reprint
Pages:	348
Product dimensions:	6.69(w) x 9.61(h) x 0.71(d)

About the Author

Ahmed Shabana is University Distinguished Professor and the Richard and Loan Hill Professor of Engineering at the University of Illinois, Chicago. Professor Shabana is author of the books Dynamics of Multibody Systems (3rd edition), Computational Dynamics (3rd edition), Railroad Vehicle Dynamics, Theory of Vibration: An Introduction (2nd edition) and Vibration of Discrete and Continuous Systems (2nd edition). He has served on the editorial board of several journals and he is the Founding Chair of the ASME Technical Committee on Multi-Body Systems and Nonlinear Dynamics. He is a Fellow of the American Society of Mechanical Engineers (ASME).

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Table of Contents

1. Introduction; 2. Kinematics; 3. Forces and stresses; 4. Constitutive equations; 5. Plasticity formulations; 6. Finite element formulation: large deformation, large rotation problem; 7. Finite element formulation: small deformation, large rotation problem.