An introduction to nonlinear finite element analysis

This is the first graduate textbook on nonlinear finite element analysis. Containing many detailed formulations, computer implementation (i.e. pseudo codes), examples and exercises, it provides a clear understanding of nonlinear finite element analyses concepts and serves as a prelude to more advanced books on the subject.

Introduction. The Finite Element Method: A Review. Heat Transfer and other Field Problems in One Dimension. Nonlinear Bending of Straight Beams. Heat Transfer and other Field Problems in Two Dimensions. Nonlinear Bending of Elastic Plates. Flows of Viscous Incompressible Fluids. Nonlinear Analysis of Time-Dependent Problems. Finite Element Formulations of Solids and Structures. Material Nonlinearities and Coupled Problems. Solution Procedures for Nonlinear Equations. Banded Symmetric and Unsymmetric Solvers.