The Finite Element Method in Engineering Book (PDF) by Singiresu S. Rao – Free Download


: SINGIRESU S RAO (Professor and Chairman Department of Mechanical and
Aerospace Engineering University of Miami, Coral Gables, Florida, USA)
: Butterworth–Heinemann
                              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.
1.         Overview of Finite Element Method
2.         Discretization of the Domain
3.         Interpolation Models
4.         Higher Order and Isoparametric Elements
5.         Derivation of Element Matrices and Vectors
6.         Assembly of Element Matrices and Vectors and Derivation of
System Equations
7.         Numerical Solution of Finite Element Equations
8.         Basic Equations and Solution Procedure
9.         Analysis of Trusses, Beams, and Frames
10.       Analysis of Plates
11.       Analysis of Three-Dimensional Problems
12.       Dynamic Analysis
13.       Formulation and Solution Procedure
14.       One-Dimensional Problems
15.       Two-Dimensional Problems
16.       Three-Dimensional Problems
17.       Basic Equations of Fluid Mechanics
18.       Inviscid and Incompressible Flows
19.       Viscous and Non-Newtonian Flows
20.       Solution of Quasi-Harmonic Equations
21.       Finite Element Analysis Using ABAQUS
22.       Finite Element Analysis Using ANSYS
23.       MATLAB Programs for Finite Element Analysis
* Above mentioned topics are main topics of this book
and there are many sub-topics under those. Please refer the Preview
below for detailed contents *
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