An Introduction to Nonlinear Finite Element Analysis
J. N. Reddy
Abstract
This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of incompressible fluids), and solid mechanics (elasticity, beams and plates). Both geometric as well as material nonlinearities are considered, and static and transient (that is, time-dependent) responses are studied. Although there exist a number of books on nonlinear finite elements that serve as good references for engineers who are familiar with the subject and wish to learn advanced topics or the latest ... More
This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of incompressible fluids), and solid mechanics (elasticity, beams and plates). Both geometric as well as material nonlinearities are considered, and static and transient (that is, time-dependent) responses are studied. Although there exist a number of books on nonlinear finite elements that serve as good references for engineers who are familiar with the subject and wish to learn advanced topics or the latest developments, there is currently no book that is suitable as a textbook for a first course on nonlinear finite element analysis. This book fills the void in the market, providing a clear understanding of the concepts of nonlinear finite element analyses through detailed theoretical formulations and computer implementation steps, examples and exercises, in a tutorial, user-oriented style. In addition, the book is a useful reference for industrial engineers and scientists, and serves as a prelude to more advanced books on the subject.
Keywords:
nonlinear finite element analysis,
fluid mechanics,
solid mechanics,
geometric nonlinearities,
material nonlinearities,
static responses,
transient responses,
heat transfer,
computer implementation
Bibliographic Information
| Print publication date: 2004 |
Print ISBN-13: 9780198525295 |
| Published to Oxford Scholarship Online: January 2010 |
DOI:10.1093/acprof:oso/9780198525295.001.0001 |
Authors
Affiliations are at time of print publication.
J. N. Reddy, author
Engineering, Texas A&M University, Texas, USA
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