حل كتاب An Introduction to the Finite Element Method Solutions Manual

حل كتاب
An Introduction to the Finite Element Method Solutions Manual
3rd Edition
by
J. N. REDDY
Department of Mechanical Engineering
Texas A & M University
Table of Contents
Overview
A About the Author
B Dedication
C Preface to the Fourth Edition
D Preface to the Third Edition
E Preface to the Second Edition
F Preface to the First Edition
G Symbols and Conversion Factors
View sub-sections1 General Introduction
1.0 CHAPTER PRELIMINARIES
1.1 Background
1.2 Mathematical Model Development
1.3 Numerical Simulations
View sub-sections1.4 The Finite Element Method
1.5 The Present Study
1.6 Summary
1.7 Problems
1.8 References for Additional Reading
View sub-sections2 Mathematical Preliminaries and Classical Variational Methods
2.0 CHAPTER PRELIMINARIES
View sub-sections2.1 General Introduction
View sub-sections2.2 Some Mathematical Concepts and Formulae
View sub-sections2.3 Energy and Virtual Work Principles
View sub-sections2.4 Integral Formulations of Differential Equations
View sub-sections2.5 Variational Methods
View sub-sections2.6 Equations of Continuum Mechanics
2.7 Summary
2.8 Problems
2.9 References for Additional Reading
View sub-sections3 1-D Finite Element Models of Second-Order Differential Equations
3.0 CHAPTER PRELIMINARIES
View sub-sections3.1 Introduction
View sub-sections3.2 Finite Element Analysis Steps
View sub-sections3.3 Finite Element Models of Discrete Systems
View sub-sections3.4 Finite Element Models of Continuous Systems
View sub-sections3.5 Axisymmetric Problems
View sub-sections3.6 Errors in Finite Element Analysis
3.7 Summary
3.8 Problems
3.9 References for Additional Reading
View sub-sections4 Applications to 1-D Heat Transfer and Fluid and Solid Mechanics Problems
4.0 CHAPTER PRELIMINARIES
4.1 Preliminary Comments
View sub-sections4.2 Heat Transfer
View sub-sections4.3 Fluid Mechanics
View sub-sections4.4 Solid and Structural Mechanics
4.5 Summary
4.6 Problems
4.7 References for Additional Reading
View sub-sections5 Finite Element Analysis of Beams and Circular Plates
5.0 CHAPTER PRELIMINARIES
5.1 Introduction
View sub-sections5.2 Euler–Bernoulli Beam Element
View sub-sections5.3 Timoshenko Beam Elements
View sub-sections5.4 Axisymmetric Bending of Circular Plates
5.5 Summary
5.6 Problems
5.7 References for Additional Reading
View sub-sections6 Plane Trusses and Frames
6.0 CHAPTER PRELIMINARIES
6.1 Introduction
View sub-sections6.2 Analysis of Trusses
View sub-sections6.3 Analysis of Plane Frame Structures
View sub-sections6.4 Inclusion of Constraint Conditions
6.5 Summary
6.6 Problems Free
6.7 References for Additional Reading
View sub-sections7 Eigenvalue and Time-Dependent Problems in 1-D
7.0 CHAPTER PRELIMINARIES
7.1 Introduction
View sub-sections7.2 Equations of Motion
View sub-sections7.3 Eigenvalue Problems
View sub-sections7.4 Transient Analysis
7.5 Summary
7.6 Problems
7.7 References for Additional Reading
View sub-sections8 Numerical Integration and Computer Implementation
8.0 CHAPTER PRELIMINARIES
8.1 Introduction
View sub-sections8.2 Numerical Integration
View sub-sections8.3 Computer Implementation
View sub-sections8.4 Applications of Program FEM1D
8.5 Summary
8.6 Problems
8.7 References for Additional Reading
View sub-sections9 Single-Variable Problems in Two Dimensions
9.0 CHAPTER PRELIMINARIES
9.1 Introduction
View sub-sections9.2 Boundary Value Problems
View sub-sections9.3 Modeling Considerations
View sub-sections9.4 Numerical Examples
View sub-sections9.5 Eigenvalue and Time-Dependent Problems
9.6 Summary
9.7 Problems
9.8 References for Additional Reading
View sub-sections10 2-D Interpolation Functions, Numerical Integration, and Computer Implementation
10.0 CHAPTER PRELIMINARIES
View sub-sections10.1 Introduction
View sub-sections10.2 2-D Element Library
View sub-sections10.3 Numerical Integration
View sub-sections10.4 Modeling Considerations
View sub-sections10.5 Computer Implementation and FEM2D
10.6 Summary
10.7 Problems
10.8 References for Additional Reading
View sub-sections11 Flows of Viscous Incompressible Fluids
11.0 CHAPTER PRELIMINARIES
11.1 Introduction
11.2 Governing Equations
View sub-sections11.3 Velocity–Pressure Formulation
View sub-sections11.4 Penalty Function Formulation
View sub-sections11.5 Computational Aspects
11.6 Numerical Examples
11.7 Summary
11.8 Problems
11.9 References for Additional Reading
View sub-sections12 Plane Elasticity
12.0 CHAPTER PRELIMINARIES
12.1 Introduction
View sub-sections12.2 Governing Equations
View sub-sections12.3 Virtual Work and Weak Formulations
View sub-sections12.4 Finite Element Model
View sub-sections12.5 Elimination of Shear Locking in Linear Elements
12.6 Numerical Examples
12.7 Summary
12.8 Problems
12.9 References for Additional Reading
View sub-sections13 3-D Finite Element Analysis
13.0 CHAPTER PRELIMINARIES
13.1 Introduction
View sub-sections13.2 Heat Transfer
View sub-sections13.3 Flows of Viscous Incompressible Fluids
View sub-sections13.4 Elasticity
View sub-sections13.5 Element Interpolation Functions and Numerical Integration
13.6 Numerical Examples
13.7 Summary
13.8 Problems
13.9 References for Additional Reading

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