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.
Javier Bonet is Professor of Engineering at Swansea University. Antonio J. Gil is a Senior Lecturer in the College of Engineering at Swansea University. Richard D. Wood is an Honorary Research Fellow in the Civil and Computational Engineering Centre at Swansea University.
1. Introduction; 2. Mathematical preliminaries; 3. Analysis of three-dimensional truss structures; 4. Kinematics; 5. Stress and equilibrium; 6. Hyperelasticity; 7. Large elasto-plastic deformations; 8. Linearized equilibrium equations; 9. Discretization and solution.