Plasticity and failure behavior of solids

1 Past and possible future directions in plasticity.- 1.1 Introduction.- 1.2 The beginning of plastic stress-strain relations.- 1.3 Isotropic hardening as a next step.- 1.4 Computers and the very limited experimental information obtainable.- 1.5 The stability postulate for small displacements.- 1.6 Perfect plasticity and the limit theorems.- 1.7 Stress invariants and further remarks on idealization and reality.- 1.8 Finite elastoplasticity for small incremental displacements.- 1.9 On some future directions and other concluding comments.- References.- 2 Physical theory of plasticity: a multicrystal model.- 2.1 Introduction.- 2.2 Requirements of multicrystal model.- 2.3 Multicrystal model.- 2.4 Some numerical results using this model.- 2.5 Conclusions.- References.- 3 Creep theories in metal forming.- 3.1 Introduction.- 3.2 One-dimensional problems.- 3.3 Reduction from two to one dimension.- 3.4 Two-dimensional problems.- 3.5 Damage in metal forming.- References.- 4 Failure of inelastic solids.- 4.1 Introduction.- 4.2 Load bearing capacity of an ideal elastic-plastic solid under plane strain.- 4.3 Stationary tensile crack in elastic-plastic material.- 4.4 Dynamics of longitudinal shear crack in elastic-plastic medium.- 4.5 Fracture of viscoelastic solids.- 4.6 Constitutive instability.- References.- 5 Plastic deformation and crack growth behavior.- 5.1 Introduction.- 5.2 Classical theory of plasticity.- 5.3 Macroplastic deformation and crack growth.- 5.4 Inhomogeneous deformation: change in local strain rates.- 5.5 Limitations of plasticity and possible alternatives.- References.- 6 Nonexistence of higher order discontinuities across elastic/plastic boundary in elastic-plastic wave propagation.- 6.1 Introduction.- 6.2 Basic equations for longitudinal waves in a thin rod.-6.3 Discontinuities of first order.- 6.4 Discontinuities of second order at M, first order on T.- 6.5 Discontinuities of second order at M and on T.- 6.6 Discontinuities of third and higher order at M, first order on T.- 6.7 Discontinuities of third and higher order at M, second order on T.- 6.8 Impossibility of third and higher order discontinuities on T.- 6.9 Improbability of second and higher order discontinuities on a loading boundary.- 6.10 Concluding remarks.- References.- 7 Engineering mechanics of composites.- 7.1 Introduction.- 7.2 Visco-elastic properties of constituents.- 7.3 Creep of unidirectionally reinforced plastic.- 7.4 Creep of bidirectional reinforced plastics.- 7.5 Stress-rupture under sustained load.- References.- 8 Interaction of macro- and microcracks in a nonhomogeneous solid.- 8.1 Introduction.- 8.2 Delamination of inclusion from matrix.- 8.3 Fibre/matrix delamination and stress-strain response.- 8.4 Fracture toughness.- 8.5 Conclusion.- 8.6 Appendix: Matrix/fibre interface fracture under longitudinal shear.- References.- 9 Energy balance for elastoplastic fracture: static and cyclic loading.- 9.1 Introduction.- 9.2 Energy balance.- 9.3 Heat conduction and generation.- 9.4 Static and cyclic loading.- 9.5 Local mechanical energy.- 9.6 Analytical method.- 9.7 Local thermal energy.- References.- 10 Stability of materials and structures.- 10.1 Introduction.- 10.2 Stability of elastic-plastic structures.- 10.3 Stability of visco-elastic structures.- 10.4 Stability of a strip.- 10.5 Macroscopic material stability.- References.