Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis

Javier Bonet; Antonio J. Gil; Richard D. Wood

doi:10.1017/CBO9781139088046

Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning.

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Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis

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Contents

Frontmatter
pp i-vi

Contents
pp vii-vii

Preface
pp viii-viii

1 - INTRODUCTION
pp 1-8

2 - MATHEMATICAL PRELIMINARIES
pp 9-27

3 - ANALYSIS OF THREE-DIMENSIONAL TRUSS STRUCTURES
pp 28-43

4 - KINEMATICS
pp 44-66

5 - STRESS AND EQUILIBRIUM
pp 67-81

6 - HYPERELASTICITY
pp 82-94

7 - LARGE ELASTO-PLASTIC DEFORMATIONS
pp 95-100

8 - LINEARIZED EQUILIBRIUM EQUATIONS
pp 101-112

9 - DISCRETIZATION AND SOLUTION
pp 113-128

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