Mode I crack propagation in elastic-plastic pressure-sensitive materials

Asymptotic fields of mode I steady-state crack propagation in non-associative elastoplastic solids

Asymptotic fields for dynamic crack growth in pressure-sensitive elastic–plastic materials

Asymptotic fields for dynamic crack growth in non-associative pressure sensitive materials

Based on a constitutive law which includes the shear components of transformation plasticity, the asymptotic solutions to near-tip fields of plane-strain mode I steadity propagating cracks in transformed ceramics are obtained for the case of linear isotropic hardening. The stress singularity, the distributions of stresses and velocities at the crack tip are determined for various material parameters. The factors influencing the near-tip fields are discussed in detail.

Asymptotic analysis of plane-strain mode I steady-state crack growth in transformation toughening ceramics(II)

: Strong discontinuities across quasistatically propagating surfaces in anisotropic elastic plastic solids under generalized plane stress have been reexamined allowing for some generality in constitutive response and taking into account the phenomenon of necking. Jumps in stresses have been ruled out on the basis of material stabiltiy postulates and a previous approach has been discussed. It has been noted that for elastic-perfectly plastic solids, sliding velocity discontinuities occur under restrictive and exceptional conditions (when both the surface and its normal are stress characteristics) for generalized plane stress as compared to plane strain. Necks may form along (stress) characteristic directions with the relative velocity vector orthogonal to the other family of characteristics.

Ares J Rosakis

Papers

Reexamination of Jumps Across Quasistatically Propagating Surfaces under Generalized Plane Stress in Anisotropically Hardening Elastic-Plastic Solids