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TABLE OF CONTENTS



Preface
Principal Notation
Introduction 1
Ch. 1 Overview of Finite Element Method 3
Ch. 2 Discretization of the Domain 43
Ch. 3 Interpolation Models 68
Ch. 4 Higher Order and Isoparametric Elements 98
Ch. 5 Derivation of Element Matrices and Vectors 142
Ch. 6 Assembly of Element Matrices and Vectors and Derivation of System Equations 183
Ch. 7 Numerical Solution of Finite Element Equations 202
Ch. 8 Basic Equations and Solution Procedure 241
Ch. 9 Analysis of Trusses, Beams and Frames 257
Ch. 10 Analysis of Plates 295
Ch. 11 Analysis of Three-Dimensional Problems 331
Ch. 12 Dynamic Analysis 351
Ch. 13 Formulation and Solution Procedure 391
Ch. 14 One-Dimensional Problems 402
Ch. 15 Two-Dimensional Problems 430
Ch. 16 Three-Dimensional Problems 448
Ch. 17 Basic Equations of Fluid Mechanics 467
Ch. 18 Inviscid and Incompressible Flows 478
Ch. 19 Viscous and Non-Newtonian Flows 496
Ch. 20 Solution of Quasi-Harmonic Equations 519
Ch. 21 Solution of Helmholtz Equation 537
Ch. 22 Solution of Reynolds Equation 544
App A Green-Gauss Theorem 551
Index 553

With the revolution in readily available computing power, the finite element method has become one of the most important tools for the modern engineer. This method of analyzing and modeling materials, structures, and forms is based on turning physical shapes into mathematical models made up from descriptive nodes, which can be manipulated using matrix methods. Examples include the new discipline of computational fluid dynamics, aerodynamic modeling, and the prediction of the behavior of components under load. The nature of matrix algebra means that these calculations can easily be performed using computer programs, thus making enormous savings in time and efficiency.



It is vital that the engineer or engineering student fully understands the theory and knowledge that underpins the finite element method before it is possible to utilize it in practice. Professor Rao, who has many years of teaching experience at one of the country's leading centers of technical excellence, explains the topics from first principles, making use of numerous illustrations and examples and breaking the subject into easily absorbed segments which will guide the reader through the material in stages.

Written by an internationally known engineering textbook author

Revised with shorter, punchier chapters and sample problems

Features a completely updated layout and size for students






--- FROM THE PUBLISHER