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Introduction to the Finite Element Method, Fourth Edition /

A fully updated introduction to the principles and applications of the finite element method. This authoritative and thoroughly revised and self-contained classic mechanical engineering textbook offers a broad-based overview and applications of the finite element method. This revision updates and ex...

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Opis bibliograficzny
1. autor: Reddy, J. N., (Autor)
Format: E-book
Język:English
Wydane: New York, N.Y. : McGraw-Hill Education, [2019].
Wydanie:4th edition.
Hasła przedmiotowe:
Finite element method.
Electronic books.
Dostęp online:https://www.accessengineeringlibrary.com/content/book/9781259861901
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Spis treści:
  • Cover
  • About the Author
  • Title Page
  • Copyright Page
  • Dedication
  • Contents
  • Preface to the Fourth Edition
  • Preface to the Third Edition
  • Preface to the Second Edition
  • Preface to the First Edition
  • Symbols and Conversion Factors
  • 1 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
  • Problems
  • References for Additional Reading
  • Index
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • J
  • K
  • L
  • M
  • N
  • O
  • P
  • Q
  • R
  • S
  • T
  • U
  • V
  • W
  • Y
  • Z.

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