INTRODUCTION |
|
Basic Concept |
|
Process of Discretization |
|
Principles and Laws |
|
Cause and Effect |
|
Review Assignments |
|
STEPS IN THE FINITE ELEMENT METHOD |
|
Introduction |
|
General Idea |
|
Introduction to Variational Calculus |
|
Summary |
|
ONE-DIMENSIONAL STRESS DEFORMATION |
|
Introduction |
|
Explanation of Global and Local Coordinates |
|
Local and Global Coordinate System for the One-Dimensional Problem |
|
Interpolation Functions |
|
Relation Between Local and Global Coordinates |
|
Requirements for Approximation Functions |
|
Stress-Strain Relation |
|
Principle of Minimum Potential Energy |
|
Expansion of Terms |
|
Integration |
|
Direct Stiffness Method |
|
Boundary Conditions |
|
Strains and Stresses |
|
Formulation by Galerkin's Method |
|
Computer Implementation |
|
Other Procedures for Formulation |
|
Complementary Energy Approach |
|
Mixed Approach |
|
Bounds |
|
Advantages of the Finite Element Method |
|
ONE-DIMENSIONAL FLOW |
|
Theory and Formulation |
|
Problems |
|
Bibliography |
|
ONE-DIMENSIONAL TIME-DEPENDENT FLOW: Introduction to Uncoupled and Coupled Problems |
|
Uncoupled Case |
|
Time-Dependent Problems |
|
One-Dimensional Consolidation |
|
Computer Code |
|
FINITE ELEMENT CODES: ONE AND TWO-DIMENSIONAL PROBLEMS |
|
One-Dimensional Code |
|
Philosophy of Codes |
|
Stages |
|
Explanation of Major Symbols and Arrays |
|
User's Guide for Code DFT/C1DFE |
|
Two-Dimensional Code |
|
User's Guide for Plane-2D |
|
Sample Problems for Plane-2D |
|
User's Guide for Field-2D |
|
Sample Problems for Field-2D |
|
BEAM BENDING AND BEAM COLUMN |
|
Introduction |
|
Beam-Column |
|
Other Procedures for Formulation |
|
ONE-DIMENSIONAL MASS TRANSPORT |
|
Introduction |
|
Finite Element Formulation |
|
References |
|
Bibliography |
|
ONE-DIMENSIONAL STRESS WAVE PROPAGATION |
|
Introduction |
|
Finite Element Formulation |
|
Convection Parameter ux |
|
Bibliography |
|
TWO AND THREE DIMENSIONAL FORMULATIONS |
|
Introduction |
|
Two-Dimensional Formulation |
|
Three-Dimensional Formulation |
|
ONE-DIMENSIONAL STRESS WAVE PROPAGATION |
|
Introduction |
|
Finite Element Formulation |
|
Boundary and Initial Conditions |
|
Boundary Conditions |
|
TWO-AND THREE-DIMENSIONAL FORMULATIONS |
|
Introduction |
|
Two-Dimensional Formulation |
|
Triangular Element |
|
Quadrilateral Element |
|
Three-Dimensional Formulation |
|
Tetrahedron Element |
|
Brick Element |
|
TORSION |
|
Introduction |
|
Finite Element Formulation (Displacement Approach) |
|
Comparison of Numerical Predictions and Closed Form Solutions |
|
Stress Approach |
|
Review and Comments |
|
Hybrid Approach |
|
Mixed Approach |
|
Static Condensation |
|
OTHER FIELD PROBLEMS: POTENTIAL, THERMAL, FLUID, AND ELECTRICAL FLOW |
|
Introduction |
|
Potential Flow |
|
Finite Element Formulation |
|
Stream Function Formulation |
|
Thermal or Heat Flow Problem |
|
Seepage |
|
Electromagnetic Problems |
|
Computer Code |
|
TWO-DIMENSIONAL STRESS-DEFORMATION ANALYSIS |
|
Introduction |
|
Plane Deformations |
|
Finite Element Formulation |
|
Computer Code |
|
MULTICOMPONENT SYSTEMS: BUILDING FRAME AND FOUNDATION |
|
Introduction |
|
Various Components |
|
Computer Code |
|
Transformation of Coordinates |
|
APPENDIX 1: Various Numerical Procedures: Solution to Beam Bending Problem |
|
APPENDIX 2: Solution of Simultaneous Equations |
|
APPENDIX 3 Computer Codes |
|
Each chapter also contains sections of problems and references |
|