Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics

The perfect introduction to the theory and computer programming for the dynamic simulation of nonlinear solid mechanics.

Javier Bonet (Author), Antonio J. Gil (Author), Richard D. Wood (Author)

9781107115620, Cambridge University Press

Hardback, published 18 March 2021

348 pages, 76 b/w illus. 1 table 45 exercises
25.3 x 17.7 x 2.4 cm, 0.76 kg

Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting nonlinear solid mechanics, dynamic conservation laws and principles, and the associated finite element techniques together, the authors provide in this second book a unified treatment of the dynamic simulation of nonlinear solids. Alongside a number of worked examples and exercises are user instructions, program descriptions, and examples for two MATLAB computer implementations for which source codes are available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work.

1. Introduction
2. Dynamic analysis of 3-D trusses
3. Dynamic equilibrium of deformable solids
4. Discretization and solution
5. Conservation laws in solid dynamics
6. Thermodynamics
7. Space and time discretization of conservation laws in solid dynamics
8. Computer implementation for displacement-based dynamics
9. Computational implementation for conservation-law-based explicit fast dynamics
Appendix. Shocks
Bibliography
Index.

Subject Areas: Mechanics of solids [TGMD], Mathematical modelling [PBWH]