Finite element procedures are now an important and frequently indispensable part of engineering analyses and scientific investigations. This book focuses on finite element procedures that are very useful and are widely employed. Formulations for the linear and nonlinear analyses of solids and structures, fluids, and multiphysics problems are presented, appropriate finite elements are discussed, and solution techniques for the governing finite element equations are given. The book presents general, reliable, and effective procedures that are fundamental and can be expected to be in use for a long time. The given procedures form also the foundations of recent developments in the field.
Author(s): Klaus-Jürgen Bathe
Edition: 2
Publisher: Klaus-Jürgen Bathe
Year: 2014
Language: English
Pages: 1043
An Introduction to the Use of Finite Element Procedures
Vectors, Matrices, and Tensors
Some Basic Concepts of Engineering Analysis and an Introduction to the Finite Element Method
Formulation of the Finite Element Method - Linear Analysis in Solid and Structural Mechanics
Formulation and Calculation of Isoparametric Finite Element Matrices
Finite Element Nonlinear Analysis in Solid and Structural Mechanics
Finite Element Analysis of Heat Transfer, Field Problems, and Incompressible Fluid Flows
Solution of Equilibrium Equations in Static Analysis
Solution of Equilibrium Equations in Dynamic Analysis
Preliminaries to the Solution of Eigenproblems
Solution Methods for Eigenproblems
Implementation of the Finite Element Method
