An Introduction to Nonlinear Finite Element Analysis

An Introduction to Nonlinear Finite Element Analysis

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Opis: An Introduction to Nonlinear Finite Element Analysis - J. N. Reddy

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 programming 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. 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 Technology1. 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


Szczegóły: An Introduction to Nonlinear Finite Element Analysis - J. N. Reddy

Tytuł: An Introduction to Nonlinear Finite Element Analysis
Autor: J. N. Reddy
Producent: Oxford University Press
ISBN: 9780199641758
Rok produkcji: 2014
Ilość stron: 720
Oprawa: Twarda
Waga: 1.3 kg


Recenzje: An Introduction to Nonlinear Finite Element Analysis - J. N. Reddy

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