Introduction to Finite Element Methods

The book discusses the basics of the finite element method in a simple and systematic way. The book will serve as a basic learning tool for the undergraduate and postgraduate students in civil and mechanical engineering whose main interest is to carry out stress analysis. However, the concepts are presented in sufficiently general form so that the book serves as a valuable learning aid for students with other backgrounds, as well as practising engineers. Key Features: Steps in the finite element method described with examples of bar and CST element. A separate chapter on shape functions with large number of examples. Isoparametric elements and numerical integration explained in detail. Advanced topics on plate and shell elements, non-linear problems and dynamic analysis. Educational program of isoparametric elements with explanation of input, output, test example and source code included in the CD appended with the book. Detailed appendices on Rayleigh-Ritz method, solution of equations and numerical integration. Contents: Introduction / Element Characteristics / Bar and Truss Problems / C. S. T. Element (Two-Dimensional Problem) / Shape Functions / Isoparametric Elements and Numerical Integration / Three-Dimensional Analysis / Axisymmetric Problems / Beam and Frame Problems / Elements of Plate Bending and Shell Analysis / Non-Linear Problems / Geometrically Non-Linear Problem / Dynamic Considerations / Modeling Techniques and Software Packages / Appendices / Index.