Fundamentals ELASTICITY MECHANICS and Finite Element Method

Chapter 1 INTRODUCTION
1.1 BASIC CONCEPTS
1.2 COMPUTATIONAL DEVELOPMENTS
Chapter 2 STRESS ANALYSIS
2.1 INTERNAL AND EXTERNAL FORCES
2.2 DEFINITION OF STRESS
2.3 COMPONENTS OF STRESS
2.4 STRESS EQUILIBRIUM EQUATIONS
2.5 ANALYSIS OF STRESSES ON A GENERAL PLANE
2.5.1 Direction Cosines
2.5.2 Co-ordinate Transformation
2.5.3 Stresses on Oblique Plane
2.5.4 Stresses Transformation
2.6 PRINCIPAL STRESSES
2.7 STRESS INVARIANTS
2.8 DEVIATCORIC STRESSES
2.9 THE MAXIMUM SHEAR STRESSES
2.10 OCTAHEDRAL STRESSES
2.11 PLANE STRESS
2.12 STRESS BOUNDARY CONDITION PROBLEMS
Chapter 3 STRAIN ANALYSIS
3.1 DESCRIPTIONS OF DEFORMATIONS
3.1.1 Lagrangian Description
3.1.2 Eulerian Description
3.2 DEFINITION OF STRAIN
3.2.1 Finite Strain
3.2.2 Small Deformation
3.3 COMPONENTS OF STRAIN
3.4 STRAINS COMPATIBILITY EQUATIONS
3.5 STRAIN TRANSFORMATION
3.6 PRINCIPAL STRAINS AND STRAIN INVARIANTS
3.7 DEVIATORIC STRAINS
3.8 THE MAXIMUM SHEAR STRAIN
3.9 OCTAHEDRAL STRAINS
3.10 PLANE STRAIN
3.11 STRAIN RATES
PROBLEMS
Chapter 4 STRESS-STRAIN RELATIONS
4.1 INTRODUCTION
4.2 IDEALISED ONE DIMENSIONAL
……
Chapter 5 BASIC EQUATIONS OF ELASTICITY
Chapter 6 APPLICATIONS TO SIMPLE PROBLEMS
Chapter 7 TWO DIMENSIONAL ELASTIC FINITE ELEMENT AND PROGRAMMING
Appendix A List of FORTRAN Program ELASTIC.FOR
Appendix B The Form of Input Data File for Analyzed Examples
Appendix D List of C++Program ELASTIC.CPP
Appendix E Output Files for Results of Examples
References