Nonlinear Solid Mechanics for Finite Element Analysis: Dynamics
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.
- Theory and finite element implementation both included in one text
- Assumes only beginning graduate-level knowledge and transitions the subject from Masters through to PhD level
- Numerous illustrative examples and exercises enhance understanding of basic theory
Reviews & endorsements
'… the software can be useful to readers in testing different options of the codes, building their own simple examples, and acquiring some additional experience and knowledge about continuum mechanics and numerical methods for their simulations.' Josip Tambaca, Society for Industrial and Applied Mathematics Review
Product details
March 2021Hardback
9781107115620
348 pages
253 × 177 × 24 mm
0.76kg
76 b/w illus. 1 table 45 exercises
Available
Table of Contents
- 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.