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.

Preface page viii

1 INTRODUCTION 1

2 MATHEMATICAL PRELIMINARIES 9

3 ANALYSIS OF THREE-DIMENSIONAL TRUSS STRUCTURES 28

4 KINEMATICS 44

5 STRESS AND EQUILIBRIUM 67

6 HYPERELASTICITY 82

7 LARGE ELASTO-PLASTIC DEFORMATIONS 95

8 LINEARIZED EQUILIBRIUM EQUATIONS 101

9 DISCRETIZATION AND SOLUTION 113

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