An introduction to nonlinear finite element analysis

By:

Reddy, J.N

Material type: Text

TextPublication details: New Delhi : Oxford University Press, 2004.Description: xv, 463 p. : illustrationsISBN:

9780198525295
019852529X
9780195692037
0195692039

Subject(s):

DDC classification:

620.00151535 RED

Contents:

1. Introduction -- 2. finite element method : a review -- 3. Heat transfer and other field problems in one dimension -- 4. Nonlinear bending of straight beams -- 5. Heat transfer and other fields problems in two dimensions -- 6. Nonlinear bending of elastic plates -- 7. Flows of viscous incompressible fluids -- 8. Nonlinear analysis of time-dependent problems -- 9. Finite element formulations of solid continua -- 10. Material nonlinearities and coupled problems -- App. A1. Solution procedures for linear algebraic equations -- App. A2. Solution procedures for nonlinear algebraic equations.

Summary: "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, plates and shells. Both geometric as well as material nonlinearities are considered, and static and transient (i.e. time dependent) responses are studied. Detailed theoretical formulations and computer implementation steps, as well as numerical examples for the user to verify and validate self-created computer programs, give the reader a clear understanding of the concepts of nonlinear finite element analyses and allow greater confidence in the formulation and computer implementation of nonlinear equations across many fields of science and engineering. At the same time, the book serves as a prelude to more advanced books on the subject. It will be a useful textbook for graduate students of engineering - in particular, aerospace, civil and mechanical - and applied mathematics, but also a good reference for engineers and scientists working in industry, especially those in the aerospace and automobile industries."--Jacket.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Reference Books	Main Library Reference	Reference	620.00151535 RED (Browse shelf(Opens below))	Available		012456

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Previous	620.0015 SES Textbook of finite element analysis	620.00151 LIU Mesh free methods : moving beyond the finite element method	620.00151535 BUC Schaum's outline of theory and problems of finite element analysis	620.00151535 RED An introduction to nonlinear finite element analysis	620.0015194 AKA Applied numerical methods for engineers	620.0042 FIN The finite element method for engineers	620.0042 KAH Numerical methods and software	Next

Included Index.

1. Introduction --
2. finite element method : a review --
3. Heat transfer and other field problems in one dimension --
4. Nonlinear bending of straight beams --
5. Heat transfer and other fields problems in two dimensions --
6. Nonlinear bending of elastic plates --
7. Flows of viscous incompressible fluids --
8. Nonlinear analysis of time-dependent problems --
9. Finite element formulations of solid continua --
10. Material nonlinearities and coupled problems --
App. A1. Solution procedures for linear algebraic equations --
App. A2. Solution procedures for nonlinear algebraic equations.

"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, plates and shells. Both geometric as well as material nonlinearities are considered, and static and transient (i.e. time dependent) responses are studied. Detailed theoretical formulations and computer implementation steps, as well as numerical examples for the user to verify and validate self-created computer programs, give the reader a clear understanding of the concepts of nonlinear finite element analyses and allow greater confidence in the formulation and computer implementation of nonlinear equations across many fields of science and engineering. At the same time, the book serves as a prelude to more advanced books on the subject. It will be a useful textbook for graduate students of engineering - in particular, aerospace, civil and mechanical - and applied mathematics, but also a good reference for engineers and scientists working in industry, especially those in the aerospace and automobile industries."--Jacket.

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