The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters.

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, the Computational Solid Mechanics Award from the U.S. Association of Computational Mechanics, and the Computational Mechanics Award from the Japanese Society of Mechanical Engineers. Professor Reddy is a Fellow of AIAA, ASCE, ASME, American Academy of Mechanics, the American Society of Composites, the U.S. Association of Computational Mechanics, the International Association of Computational Mechanics, and the Aeronautical Society of India. He is a life fellow and Honorary Member of ASME.

• 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