Finite Element Method for Engineers

ISBN-10: 0471370789
ISBN-13: 9780471370789
Edition: 4th 2001 (Revised)
List price: $165.00 Buy it from $21.80
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Description: Offering a balanced treatment of theory, examples and applications, this text emphasises mechanics (forces, stresses, displacements, vibrations), heat transfer, elasticity and multi-physics problems (fluid flow, electromagnetic behaviour).

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Book details

List price: $165.00
Edition: 4th
Copyright year: 2001
Publisher: John Wiley & Sons, Incorporated
Publication date: 9/7/2001
Binding: Hardcover
Pages: 744
Size: 6.50" wide x 9.50" long x 1.50" tall
Weight: 2.530
Language: English

Offering a balanced treatment of theory, examples and applications, this text emphasises mechanics (forces, stresses, displacements, vibrations), heat transfer, elasticity and multi-physics problems (fluid flow, electromagnetic behaviour).

Preface
Meet the Finite Element Method
What Is the Finite Element Method?
How the Finite Element Method Works
A Brief History of the Method
Range of Applications
Commercial Finite Element Software
The Future of the Finite Element Method
References
The Direct Approach: A Physical Interpretation
Introduction
Defining Elements and Their Properties
Assembling the Parts
Solver Technology
Closure
References
Problems
The Mathematical Approach: A Variational Interpretation
Introduction
Continuum Problems
Some Methods for Solving Continuum Problems
The Finite Element Method
Closure
References
Problems
The Mathematical Approach: A Generalized Interpretation
Introduction
Deriving Finite Element Equations from the Method of Weighted Residuals
Closure
References
Problems
Elements and Interpolation Functions
Introduction
Basic Element Shapes
Terminology and Preliminary Considerations
Generalized Coordinates and the Order of the Polynomial
Natural Coordinates
Interpolation Concepts in One Dimension
Internal Nodes--Condensation/Substructuring
Two-Dimensional Elements
Three-Dimensional Elements
Isoparametric Elements for C[superscript 0] Problems
Numerical Integration
Closure
References
Problems
Elasticity Problems
Introduction
General Formulation for Three-Dimensional Problems
Application to Plane Stress and Plane Strain
Application to Axisymmetric Stress Analysis
Application to Plate-Bending Problems
Three-Dimensional Problem
Introduction to Structural Dynamics
Closure
References
Problems
General Field Problems
Introduction
Equilibrium Problems
Eigenvalue Problems
Propagation Problem
Solving the Discretized Time-Dependent Equations
Closure
References
Problems
Heat Transfer Problems
Introduction
Conduction
Conduction with Surface Radiation
Convective-Diffusion Equation
Free and Forced Convection
Closure
References
Problems
Fluid Mechanics Problems
Introduction
Inviscid Incompressible Flow
Viscous Incompressible Flow without Inertia
Viscous Incompressible Flow with Inertia
Compressible Flow
Closure
References
Problems
Boundary Conditions, Mesh Generation, and Other Practical Considerations
Introduction
Physical Singularities
Benchmark Problems
Symmetry
Dimensional Analysis
Mesh Generation
Lumped Mass versus Consistent Mass
Modeling Fasteners
Connecting Rod Analysis
Crankshaft and Flywheel Analysis
Disc Brake Analysis
Closure
References
Problems
Finite Elements in Design
Introduction
Design Optimization
Finite Element--Based Optimal Design
Design Sensitivity Analysis
Examples of Design Sensitivity Analysis
Case Study: Finite Element-Based Design
Closure
References
Problems
Matrices
Definitions
Special Types of Square Matrices
Matrix Operations
Special Matrix Products
Matrix Transpose
Quadratic Forms
Matrix Inverse
Matrix Partitioning
The Calculus of Matrices
Norms
Variational Calculus
Introduction
Calculus--The Minima of a Function
Variational Calculus--The Minima of Functionals
Basic Equations from Linear Elasticity Theory
Introduction
Stress Components
Strain Components
Generalized Hooke's Law (Constitutive Equations)
Static Equilibrium Equations
Compatibility Conditions
Differential Equations for Displacements
Minimum Potential Energy Principle
Plane Strain and Plane Stress
Thermal Effects
Thin-Plate Bending
References
Basic Equations from Fluid Mechanics
Introduction
Definitions and Concepts
Laws of Motion
Stream Functions and Vorticity
Potential Flow
Viscous Incompressible Flow
Boundary Layer Flow
References
Basic Equations from Heat Transfer
Introduction
Conduction
Convection
Radiation
Heat Transfer Units
References
Index

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