An introduction to nonlinear finite element analysis : with applications to heat transfer, fluid mechanics, and solid mechanics
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Bibliographic Information
An introduction to nonlinear finite element analysis : with applications to heat transfer, fluid mechanics, and solid mechanics
Oxford University Press, 2021
2d ed.
- pbk.
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Note
Previous edition: 2004
Includes bibliographical references and index
Description and Table of Contents
Description
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 of nonlinear 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 2 through 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 date developments 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 and material 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 the second 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 segments are in Fortran, the logic used 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.
Table of Contents
1: General Introduction and Mathematical Preliminaries
2: Elements of Nonlinear Continuum Mechanics
3: The Finite Element Method: A Review
4: One-Dimensional Problems Involving a Single Variable
5: Nonlinear Bending of Straight Beams
6: Two-Dimensional Problems Involving a Single Variable
7: Nonlinear Bending of Elastic Plates
8: Nonlinear Bending of Elastic Shells
9: Finite Element Formulations of Solid Continua
10: Weak-Form Finite Element Models of Flows of Viscous Incompressible Fluids
11: Least-Squares Finite Element Models of Flows of Viscous Incompressible Fluids
Appendix 1: Solution Procedures for Linear Equations
Appendix 2: Solution Procedures for Nonlinear Equations
1: General Introduction and Mathematical Preliminaries
2: Elements of Nonlinear Continuum Mechanics
3: The Finite Element Method: A Review
4: One-Dimensional Problems Involving a Single Variable
5: Nonlinear Bending of Straight Beams
6: Two-Dimensional Problems Involving a Single Variable
7: Nonlinear Bending of Elastic Plates
8: Nonlinear Bending of Elastic Shells
9: Finite Element Formulations of Solid Continua
10: Weak-Form Finite Element Models of Flows of Viscous Incompressible Fluids
11: Least-Squares Finite Element Models of Flows of Viscous Incompressible Fluids
Appendix 1: Solution Procedures for Linear Equations
Appendix 2: Solution Procedures for Nonlinear Equations
by "Nielsen BookData"
