Contents Preface to the Fourth Edition page xii 1 Stress and Strain.··.... 1 1.1 Stress 1 1.2 Stress transformation 2 1.3 Principal stresses 4 1.4 Mohr's circle equations 1.5 Strain 7 1.6 Small strains 9 1.7 The strain tensor 10 1.8 Isotropic elasticity 10 1.9 Strain energy 11 1.10 Force and moment balances 12 1.11 Boundary conditions 13 NOTES OF INTEREST.......·· 14 REFERENCES.·.······· 15 APPENDIX-EQUILIBRIUM EQUATIONS. 15 PROBLEMS.·············· 15 2 Plasticity........·· 17 2.1 Yield criteria 17 2.2 Tresca criterion 18 2.3 Von Mises criterion 20 2.4 Effective stress 21 2.5 Effective strain 22 2.6 Flow rules 23 2.7 Normality principle 24 2.8 Derivation of the von Mises effective strain 26 NOTES OF INTEREST.............................................. 27Contents Preface to the Fourth Edition page xii 1 Stress and Strain ................................... 1 1.1 Stress 1 1.2 Stress transformation 2 1.3 Principal stresses 4 1.4 Mohr’s circle equations 5 1.5 Strain 7 1.6 Small strains 9 1.7 The strain tensor 10 1.8 Isotropic elasticity 10 1.9 Strain energy 11 1.10 Force and moment balances 12 1.11 Boundary conditions 13 NOTES OF INTEREST .............................................. 14 REFERENCES .................................................... 15 APPENDIX – EQUILIBRIUM EQUATIONS ............................... 15 PROBLEMS ..................................................... 15 2 Plasticity ............................................. 17 2.1 Yield criteria 17 2.2 Tresca criterion 18 2.3 Von Mises criterion 20 2.4 Effective stress 21 2.5 Effective strain 22 2.6 Flow rules 23 2.7 Normality principle 24 2.8 Derivation of the von Mises effective strain 26 NOTES OF INTEREST .............................................. 27 v