Reddy, J. N <br/><br/>
An introduction to nonlinear finite element analysis: with applications to heat transfer, fluid mechanics, and solid mechanics 

 - 2nd ed. 
 - Oxford  Oxford University Press  c2015 
 - xxxi, 687p.; 24cm. 
<br/><br/> Table of Contents:<br/><br/>1:General Introduction and Mathematical Preliminaries<br/>2:Elements of Nonlinear Continuum Mechanics<br/>3:The Finite Element Method: A Review<br/>4:One-Dimensional Problems Involving a Single Variable<br/>5:Nonlinear Bending of Straight Beams<br/>6:Two-Dimensional Problems Involving a Single Variable<br/>7:Nonlinear Bending of Elastic Plates<br/>8:Nonlinear Bending of Elastic Shells<br/>9:Finite Element Formulations of Solid Continua<br/>10:Weak-Form Finite Element Models of Flows of Viscous Incompressible Fluids<br/>11:Least-Squares Finite Element Models of Flows of Viscous Incompressible Fluids<br/>Appendix 1: Solution Procedures for Linear Equations<br/>Appendix 2: Solution Procedures for Nonlinear Equations<br/>1:General Introduction and Mathematical Preliminaries<br/>2:Elements of Nonlinear Continuum Mechanics<br/>3:The Finite Element Method: A Review<br/>4:One-Dimensional Problems Involving a Single Variable<br/>5:Nonlinear Bending of Straight Beams<br/>6:Two-Dimensional Problems Involving a Single Variable<br/>7:Nonlinear Bending of Elastic Plates<br/>8:Nonlinear Bending of Elastic Shells<br/>9:Finite Element Formulations of Solid Continua<br/>10:Weak-Form Finite Element Models of Flows of Viscous Incompressible Fluids<br/>11:Least-Squares Finite Element Models of Flows of Viscous Incompressible Fluids<br/><br/>Appendix 1: Solution Procedures for Linear Equations<br/>Appendix 2: Solution Procedures for Nonlinear Equations 
<br/><br/> 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.<br/> 
<br/><br/><label>ISBN: </label>9780198871392 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics <br/>Numerical analysis <br/>Finite element analysis <br/>Nonlinear mechanics
<br/><br/><label>Dewey Class. No.: </label>518.25 RED/I