Bonet and Wood have done an excellent job with this book. After motivating what they are trying to do with simple examples of nonlinear mechanics, they move into some basic vector and tensor math. Summation signs are explicitly used, so if you are new to continuum mechanics you don't have to try to
Nonlinear continuum mechanics for finite element analysis
โ Scribed by Javier Bonet, Richard D. Wood
- Publisher
- Cambridge University Press
- Year
- 1997
- Tongue
- English
- Leaves
- 283
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This book provides a look at the theory behind the programs engineers use for the computer simulation of nonlinear structural behaviour. It establishes the mathematical foundations for the development of computer programs that can predict the behaviour of mechanical and structural components. After a thorough but succinct introduction, the book delves into mathematical preliminaries, kinematics, stress and equilibrium. Subsequent sections address hyperelasticity for compressible and incompressible materials, finite element discretisation, equation solution and computer implementation. A short appendix extends the kinematics chapter to cater for elasto-plastic deformation. The book provides user instructions, program description and examples for the FLAGSHYP computer implementation for which the source code is available free on the Internet. Worked examples and exercises complete each chapter, making it an essential resource for engineers and researchers.
๐ SIMILAR VOLUMES
The first edition of this successful text considered nonlinear geometrical behavior and nonlinear hyperelastic materials, and the numerics needed to model such phenomena. By presenting both nonlinear continuum analysis and associated finite element techniques in one, Bonet and Wood provide, in the
This book provides a look at the theory behind the programs engineers use for the computer simulation of nonlinear structural behaviour. It establishes the mathematical foundations for the development of computer programs that can predict the behaviour of mechanical and structural components. After