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This book presents the theory and computer implementations 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 (i.e.: 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 which 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 addition, the book serves as a prelude to more advanced books on the subject.
This book addresses the lack of introductory pedagogical material for understanding nonlinear finite element analysis in engineering applications. J. N. Reddy, a distinguished scholar in the field of mechanics, utilizes his extensive academic background to synthesize complex theoretical formulations into a structured learning framework. By bridging the gap between abstract mathematical theory and practical computer implementation, the text provides a foundational approach to solving nonlinear problems in heat transfer, fluid mechanics, and solid mechanics.
What You Will Find
Experts and educators frequently cite this work as a primary resource for students transitioning from linear to nonlinear finite element analysis. Readers often note the clarity of the instructional progression, which makes advanced computational mechanics accessible to those encountering the subject for the first time.
Page Count:
488
Publication Date:
2004-06-03
Publisher:
Oxford University Press
ISBN-10:
019852529X
ISBN-13:
9780198525295
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