Computational Continuum Mechanics

by Ahmed A. Shabana

• ISBN13: 9780521174381
• ISBN10: 0521174384
• Edition: Reprint
• Format: Paperback
• Copyright: 2010-09-09
• Publisher: Cambridge University Press

Summary

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.

Table of Contents

Introduction

Kinematics

Forces and stresses

Constitutive equations

Plasticity formulations

Finite element formulation: large deformation, large rotation problem

Finite element formulation: small deformation, large rotation problem

Table of Contents provided by Publisher. All Rights Reserved.