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Introduction to Finite Elements in Engineering

ISBN-10: 0130615919
ISBN-13: 9780130615916
Edition: 3rd 2002 (Revised)
List price: $190.00
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Book details

List price: $190.00
Edition: 3rd
Copyright year: 2002
Publisher: Prentice Hall PTR
Publication date: 1/17/2002
Binding: Mixed Media
Pages: 453
Size: 7.25" wide x 9.25" long x 1.00" tall
Weight: 1.958
Language: English

Tirupathi R. Chandrupatla is Professor and Chair of Mechanical Engineering at Rowan University, Glassboro, New Jersey. He received the B.S. degree from the Regional Engineering College, Warangal, which was affiliated with Osmania University, India. He received the M.S. degree in design and manufacturing from the Indian Institute of Technology, Bombay. He started his career as a design engineer with Hindustan Machine Tools, Bangalore. He then taught in the Department of Mechanical Engineering at LLT, Bombay. He pursued his graduate studies in the Department of Aerospace Engineering and Engineering Mechanics at the University of Texas at Austin and received his Ph.D. in 1977. He subsequently taught at the University of Kentucky. Prior to joining Rowan, he was a Professor of Mechanical Engineering and Manufacturing Systems Engineering at GMI Engineering & Management Institute (formerly General Motors Institute), where he taught for 16 years. Dr. Chandrupatla has broad research interests, which include finite element analysis, design, optimization, and manufacturing engineering. He has published widely in these areas and serves as a consultant to industry. Dr. Chandrupatla is a registered Professional Engineer and also a Certified Manufacturing Engineer. He is a member of ASEE, ASME, NSPE, SAE, and SME. Ashok D. Belegundu is a Professor of Mechanical Engineering at the Pennsylvania State University, University Park. He was on the faculty at GMI from 1982 through 1986. He received the Ph.D. degree in 1982 from the University of Iowa And The B.S. degree from the Indian Institute of Technology, Madras. He was awarded a fellowship to spend a summer in 1993 at the NASA Lewis Research Center. During 1994-1995, he obtained a grant from the UK Science and Engineering Research Council to spend his sabbatical leave at Cranfield University, Cranfield, UK. Dr. Belegundu's teaching and research interests include linear, nonlinear, and dynamic finite elements and optimization. He has worked on several sponsored projects for government and industry. He is an associate editor of Mechanics of Structures and Machines. He is also a member of ASME and an Associate fellow of AIAA.

Preface
Fundamental Concepts
Introduction
Historical Background
Outline of Presentation
Stresses and Equilibrium
Boundary Conditions
Strain-Displacement Relations
Stress-Strain Relations
Temperature Effects
Potential Energy and Equilibrium
The Rayleigh-Ritz Method
Galerkin's Method
Saint Venant's Principle
Von Mises Stress
Computer Programs
Conclusion
Matrix Algebra and Gaussian Elimination
Matrix Algebra
Gaussian Elimination
Conjugate Gradient Method for Equation Solving
One-Dimensional Problems
Introduction
Finite Element Modeling
Coordinates and Shape Functions
The Potential-Energy Approach
The Galerkin Approach
Assembly of the Global Stiffness Matrix and Load Vector
Properties of K
The Finite Element Equations
Treatment of Boundary Conditions
Quadratic Shape Functions
Temperature Effects
Trusses
Introduction
Plane Trusses
Three-Dimensional Trusses
Assembly of Global Stiffness Matrix for the Banded and Skyline Solutions
Two-Dimensional Problems Using Constant Strain Triangles
Introduction
Finite Element Modeling
Constant-Strain Triangle (CST)
Problem Modeling and Boundary Conditions
Orthotropic Materials
Axisymmetric Solids Subjected to Axisymmetric Loading
Introduction
Axisymmetric Formulation
Finite Element Modeling: Triangular Element
Problem Modeling and Boundary Conditions
Two-Dimensional Isoparametric Elements and Numerical Integration
Introduction
The Four-Node Quadrilateral
Numerical Integration
Higher Order Elements
Four-Node Quadrilateral for Axisymmetric Problems
Conjugate Gradient Implementation of the Quadrilateral Element
Beams and Frames
Introduction
Finite Element Formulation
Load Vector
Boundary Considerations
Shear Force and Bending Moment
Beams on Elastic Supports
Plane Frames
Three-Dimensional Frames
Some Comments
Three-Dimensional Problems in Stress Analysis
Introduction
Finite Element Formulation
Stress Calculations
Mesh Preparation
Hexahedral Elements and Higher Order Elements
Problem Modeling
Frontal Method for Finite Element Matrices
Scalar Field Problems
Introduction
Steady State Heat Transfer
Torsion
Potential Flow, Seepage, Electric and Magnetic Fields, and Fluid Flow in Ducts
Conclusion
Dynamic Considerations
Introduction
Formulation
Element Mass Matrices
Evaluation of Eigenvalues and Eigenvectors
Interfacing with Previous Finite Element Programs and a Program for Determining Critical Speeds of Shafts
Guyan Reduction
Rigid Body Modes
Conclusion
Preprocessing and Postprocessing
Introduction
Mesh Generation
Postprocessing
Conclusion
Appendix
Bibliography
Index

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