An Introduction to Nonlinear Finite Element Analysis: with applications to heat transfer, fluid…

Hardcover | November 23, 2014

byJ. N. Reddy

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The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions ofnonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to datedevelopments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition andmaterial on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of thesecond edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the programming segments are in Fortran, the logicused in these Fortran programs is transparent and can be used in Matlab or C++ versions of the same. Thus the new edition more than replaces the first edition, and it is hoped that it is acquired by the library of every institution of higher learning as well as serious finite element analysts.The book may be used as a textbook for an advanced course (after a first course) on the finite element method or the first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

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From the Publisher

The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions ofnonlinear problems. The book offers an easy-t...

J. N. Reddy is internationally known for his contributions to theoretical and applied mechanics and computational mechanics. He is the author of more than 500 journal papers and 18 textbooks with multiple editions. He is the recipient of numerous awards including the Nathan M. Newmark Medal from the American Society of Civil Engineers,...

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Format:HardcoverDimensions:720 pages, 9.45 × 6.61 × 1.68 inPublished:November 23, 2014Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199641757

ISBN - 13:9780199641758

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Table of Contents

1. General Introduction and Mathematical Preliminaries2. Elements of Nonlinear Continuum Mechanics3. The Finite Element Method: A Review4. One-Dimensional Problems Involving a Single Variable5. Nonlinear Bending of Straight Beams6. Two-Dimensional Problems Involving a Single Variable7. Nonlinear Bending of Elastic Plates8. Nonlinear Bending of Elastic Shells9. Finite Element Formulations of Solid Continua10. Weak-Form Finite Element Models of Flows of Viscous Incompressible Fluids11. Least-Squares Finite Element Models of Flows of Viscous Incompressible FluidsAppendix 1: Solution Procedures for Linear EquationsAppendix 2: Solution Procedures for Nonlinear Equations

Editorial Reviews

Review from previous edition: "... J. N. Reddy has captured the essence of the field of nonlinear continuum mechanics in this textbook." --Anthony N. Palazotto, Air Force Institute of Technology