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020			_a9789390385270
082			_a620.001 _bRED
100			_a Reddy, J. N
245			_aIntroduction to the finite element method _cJ. N. Reddy
250			_a4
260			_aChennai: _bMcGraw-Hill Education, _c2019.
300			_a782p
505			_t1 General Introduction 1.1 Background 1.2 Mathematical Model Development 1.3 Numerical Simulations 1.4 The Finite Element Method 1.5 The Present Study 1.6 Summary Problems References for Additional Reading 2 Mathematical Preliminaries and Classical Variational Methods 2.1 General Introduction 2.2 Some Mathematical Concepts and Formulae 2.3 Energy and Virtual Work Principles 2.4 Integral Formulations of Differential Equations 2.5 Variational Methods 2.6 Equations of Continuum Mechanics 2.7 Summary Problems References for Additional Reading 3 1-D Finite Element Models of Second-Order Differential Equations 3.1 Introduction 3.2 Finite Element Analysis Steps 3.3 Finite Element Models of Discrete Systems 3.4 Finite Element Models of Continuous Systems 3.5 Axisymmetric Problems 3.6 Errors in Finite Element Analysis 3.7 Summary Problems References for Additional Reading 4 Applications to 1-D Heat Transfer and Fluid and Solid Mechanics Problems 4.1 Preliminary Comments 4.2 Heat Transfer 4.3 Fluid Mechanics 4.4 Solid and Structural Mechanics 4.5 Summary Problems References for Additional Reading 5 Finite Element Analysis of Beams and Circular Plates 5.1 Introduction 5.2 Euler–Bernoulli Beam Element 5.3 Timoshenko Beam Elements 5.4 Axisymmetric Bending of Circular Plates 5.5 Summary Problems References for Additional Reading 6 Plane Trusses and Frames 6.1 Introduction 6.2 Analysis of Trusses 6.3 Analysis of Plane Frame Structures 6.4 Inclusion of Constraint Conditions 6.5 Summary Problems References for Additional Reading 7 Eigenvalue and Time-Dependent Problems in 1-D 7.1 Introduction 7.2 Equations of Motion 7.3 Eigenvalue Problems 7.4 Transient Analysis 7.5 Summary Problems References for Additional Reading 8 Numerical Integration and Computer Implementation 8.1 Introduction 8.2 Numerical Integration 8.3 Computer Implementation 8.4 Applications of Program FEM1D 8.5 Summary Problems References for Additional Reading 9 Single-Variable Problems in Two Dimensions 9.1 Introduction 9.2 Boundary Value Problems 9.3 Modeling Considerations 9.4 Numerical Examples 9.5 Eigenvalue and Time-Dependent Problems 9.6 Summary Problems References for Additional Reading 10 2-D Interpolation Functions, Numerical Integration, and Computer Implementation 10.1 Introduction 10.2 2-D Element Library 10.3 Numerical Integration 10.4 Modeling Considerations 10.5 Computer Implementation and FEM2D 10.6 Summary Problems References for Additional Reading 11 Flows of Viscous Incompressible Fluids 11.1 Introduction 11.2 Governing Equations 11.3 Velocity–Pressure Formulation 11.4 Penalty Function Formulation 11.5 Computational Aspects 11.6 Numerical Examples 11.7 Summary Problems References for Additional Reading 12 Plane Elasticity 12.1 Introduction 12.2 Governing Equations 12.3 Virtual Work and Weak Formulations 12.4 Finite Element Model 12.5 Elimination of Shear Locking in Linear Elements 12.6 Numerical Examples 12.7 Summary Problems References for Additional Reading 13 3-D Finite Element Analysis 13.1 Introduction 13.2 Heat Transfer 13.3 Flows of Viscous Incompressible Fluids 13.4 Elasticity 13.5 Element Interpolation Functions and Numerical Integration 13.6 Numerical Examples 13.7 Summary
520			_aThis authoritative and thoroughly revised, classic mechanical engineering textbook offers a broad-based overview and applications of the finite element method. This revision updates and expands the already large number of problems and worked-out examples and brings the technical coverage in line with current practices. Readers will get details on non-traditional applications in bioengineering, fluid, and thermal sciences, in addition to solid and structural mechanics. Written by a recognized mechanical engineering expert, An Introduction to the Finite Element Method, Fourth Edition, teaches, step-by-step, how to determine numerical solutions to equilibrium as well as time-dependent problems from fluid and thermal sciences and structural mechanics. Beginning with differential equations, the book presents a self-contained approach to the construction of weak forms, interpolation theory, finite element equations and their solution, and computer implementation. The author provides a solutions manual as well as computer programs that are available for download.
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