Download The Finite Element Method in Engineering By Singiresu S. Rao – The finite element method is a numerical method that can be used for the accurate solution of complex engineering problems. Although the origins of the method can be traced to several centuries back, most of the computational details have been developed in mid-1950s, primarily in the context of the analysis of aircraft structures. Thereafter, within a decade, the potential of the method for the solution of different types of applied science and engineering problems was recognized. Over the years, the finite element technique has been so well established that today, it is considered to be one of the best methods for solving a wide variety of practical problems efficiently. In addition, the method has become one of the active research areas not only for engineers but also for applied mathematicians. One of the main reasons for the popularity of the method in different fields of engineering is that once a general computer program is written, it can be used for the solution of a variety of problems simply by changing the input data.
The objective of writing this book is to introduce the various aspects of the finite element method as applied to the solution of engineering problems in a systematic and simple manner. It develops each of the techniques and ideas from basic principles. New concepts are illustrated with simple examples wherever possible. An introduction to commercial software systems, ABAQUS and ANSYS, including some sample applications with images/ output, is also presented in two separate chapters. In addition, several MATLAB programs are given along with examples to illustrate the use of the programs in a separate chapter. After studying the material presented in the book, the reader will not only be able to understand the current literature on the finite element method but also be in a position to solve finite element problems using commercial software such as ABAQUS and ANSYS, use the MATLAB programs given in the book to solve a variety of finite element problems from different areas, and, also, if needed, be able to develop short programs for the solution of engineering problems.
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Book Contents
- Overview of Finite Element Method
- Discretization of the Domain
- Interpolation Models
- Higher Order and Isoparametric Elements
- Derivation of Element Matrices and Vectors
- Assembly of Element Matrices and Vectors and Derivation of System Equations
- Numerical Solution of Finite Element Equations
- Basic Equations and Solution Procedure
- Analysis of Trusses, Beams, and Frames
- Analysis of Plates
- Analysis of Three-Dimensional Problems
- Dynamic Analysis
- Formulation and Solution Procedure
- One-Dimensional Problems
- Two-Dimensional Problems
- Three-Dimensional Problems
- Basic Equations of Fluid Mechanics
- Inviscid and Incompressible Flows
- Viscous and Non-Newtonian Flows
- Solution of Quasi-Harmonic Equations
- Finite Element Analysis Using ABAQUS
- Finite Element Analysis Using ANSYS
- MATLAB Programs for Finite Element Analysis
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