Introduction to Finite Element Analysis and Design, 2nd Edition

Introduction to Finite Element Analysis and Design, 2nd Edition

by Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar
Released August 2018
Publisher(s): Wiley
ISBN: 9781119078722

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Book description

Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly

Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online.

The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs.

  • Offers elaborate explanations of basic finite element procedures
  • Delivers clear explanations of the capabilities and limitations of finite element analysis
  • Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN
  • Provides numerous examples and exercise problems
  • Comes with a complete solution manual and results of several engineering design projects
Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedical engineering, industrial engineering and engineering mechanics.

Table of contents

  1. Cover
  2. Preface
  3. Chapter 1: Direct Method – Springs, Bars, and Truss Elements
    1. 1.1 ILLUSTRATION OF THE DIRECT METHOD
    2. 1.2 UNIAXIAL BAR ELEMENT
    3. 1.3 PLANE TRUSS ELEMENTS
    4. 1.4 THREE‐DIMENSIONAL TRUSS ELEMENTS (SPACE TRUSS)
    5. 1.5 THERMAL STRESSES
    6. 1.6 FINITE ELEMENT MODELING PRACTICE FOR TRUSS
    7. 1.7 PROJECTS
    8. 1.8 EXERCISES
  4. Chapter 2: Weighted Residual Methods for One‐Dimensional Problems
    1. 2.1 EXACT VS. APPROXIMATE SOLUTION
    2. 2.2 GALERKIN METHOD
    3. 2.3 HIGHER‐ORDER DIFFERENTIAL EQUATIONS
    4. 2.4 FINITE ELEMENT APPROXIMATION
    5. 2.5 ENERGY METHODS
    6. 2.6 EXERCISES
  5. Chapter 3: Finite Element Analysis of Beams and Frames
    1. 3.1 REVIEW OF ELEMENTARY BEAM THEORY
    2. 3.2 RAYLEIGH‐RITZ METHOD
    3. 3.3 FINITE ELEMENT FORMULATION FOR BEAMS
    4. 3.4 PLANE FRAME ELEMENTS
    5. 3.5 BUCKLING OF BEAMS
    6. 3.6 BUCKLING OF FRAMES
    7. 3.7 FINITE ELEMENT MODELING PRACTICE FOR BEAMS
    8. 3.8 PROJECT
    9. 3.9 EXERCISES
  6. Chapter 4: Finite Elements for Heat Transfer Problems
    1. 4.1 INTRODUCTION
    2. 4.2 FOURIER HEAT CONDUCTION EQUATION
    3. 4.3 FINITE ELEMENT ANALYSIS – DIRECT METHOD
    4. 4.4 GALERKIN’S METHOD FOR HEAT CONDUCTION PROBLEMS
    5. 4.5 CONVECTION BOUNDARY CONDITIONS
    6. 4.6 TWO‐DIMENSIONAL HEAT TRANSFER
    7. 4.7 3‐NODE TRIANGULAR ELEMENTS FOR TWO‐DIMENSIONAL HEAT TRANSFER
    8. 4.8 FINITE ELEMENT MODELING PRACTICE FOR 2‐D HEAT TRANSFER
    9. 4.9 EXERCISES
  7. Chapter 5: Review of Solid Mechanics
    1. 5.1 INTRODUCTION
    2. 5.2 STRESS
    3. 5.3 STRAIN
    4. 5.4 STRESS–STRAIN RELATIONSHIP
    5. 5.5 BOUNDARY VALUE PROBLEMS
    6. 5.6 PRINCIPLE OF MINIMUM POTENTIAL ENERGY FOR PLANE SOLIDS
    7. 5.7 FAILURE THEORIES
    8. 5.8 SAFETY FACTOR
    9. 5.9 EXERCISES
  8. Chapter 6: Finite Elements for Two‐Dimensional Solid Mechanics
    1. 6.1 INTRODUCTION
    2. 6.2 TYPES OF TWO‐DIMENSIONAL PROBLEMS
    3. 6.3 CONSTANT STRAIN TRIANGULAR (CST) ELEMENT
    4. 6.4 FOUR–NODE RECTANGULAR ELEMENT
    5. 6.5 AXISYMMETRIC ELEMENT
    6. 6.6 FINITE ELEMENT MODELING PRACTICE FOR SOLIDS
    7. 6.7 PROJECT
    8. 6.8 EXERCISES
  9. Chapter 7: Isoparametric Finite Elements
    1. 7.1 INTRODUCTION
    2. 7.2 ONE‐DIMENSIONAL ISOPARAMETRIC ELEMENTS
    3. 7.3 TWO‐DIMENSIONAL ISOPARAMETRIC QUADRILATERAL ELEMENT
    4. 7.4 NUMERICAL INTEGRATION
    5. 7.5 HIGHER‐ORDER QUADRILATERAL ELEMENTS
    6. 7.6 ISOPARAMETRIC TRIANGULAR ELEMENTS
    7. 7.7 THREE‐DIMENSIONAL ISOPARAMETRIC ELEMENTS
    8. 7.8 FINITE ELEMENT MODELING PRACTICE FOR ISOPARAMETRIC ELEMENTS
    9. 7.9 PROJECTS
    10. 7.10 EXERCISES
  10. Chapter 8: Finite Element Analysis for Dynamic Problems
    1. 8.1 INTRODUCTION
    2. 8.2 DYNAMIC EQUATION OF MOTION AND MASS MATRIX
    3. 8.3 NATURAL VIBRATION: NATURAL FREQUENCIES AND MODE SHAPES
    4. 8.4 FORCED VIBRATION: DIRECT INTEGRATION APPROACH
    5. 8.5 METHOD OF MODE SUPERPOSITION
    6. 8.6 DYNAMIC ANALYSIS WITH STRUCTURAL DAMPING
    7. 8.7 FINITE ELEMENT MODELING PRACTICE FOR DYNAMIC PROBLEMS
    8. 8.8 EXERCISES
  11. Chapter 9: Finite Element Procedure and Modeling
    1. 9.6 INTRODUCTION
    2. 9.2 FINITE ELEMENT ANALYSIS PROCEDURES
    3. 9.3 FINITE ELEMENT MODELING ISSUES
    4. 9.4 ERROR ANALYSIS AND CONVERGENCE
    5. 9.5 PROJECT
    6. 9.6 EXERCISES
  12. Chapter 10: Structural Design Using Finite Elements
    1. 10.8 INTRODUCTION
    2. 10.2 CONSERVATISM IN STRUCTURAL DESIGN
    3. 10.3 INTUITIVE DESIGN: FULLY STRESSED DESIGN
    4. 10.4 DESIGN PARAMETERIZATION
    5. 10.5 PARAMETRIC STUDY – SENSITIVITY ANALYSIS
    6. 10.6 STRUCTURAL OPTIMIZATION
    7. 10.7 PROJECTS
    8. 10.8 EXERCISES
  13. Appendix Mathematical Preliminaries
    1. A.1 VECTORS AND MATRICES
    2. A.2 VECTOR‐MATRIX CALCULUS
    3. A.3 MATRIX EQUATIONS AND SOLUTION
    4. A.4 EIGENVALUES AND EIGENVECTORS
    5. A.5 QUADRATIC FORMS
    6. A.6 MAXIMA AND MINIMA OF FUNCTIONS
    7. A.7 EXERCISES
  14. Index
  15. End User License Agreement

Product information

  • Title: Introduction to Finite Element Analysis and Design, 2nd Edition
  • Author(s): Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar
  • Release date: August 2018
  • Publisher(s): Wiley
  • ISBN: 9781119078722