Asymptotic near-tip fields are analyzed for a plane strain Mode I crack propagating dynamically in non-associative elastic–plastic solids of the Drucker–Prager type with an isotropic linear strain hardening response. Eigen solutions are obtained over a range of material parameters and crack speeds, based on the assumption that asymptotic solutions are variable-separable and fully continuous. A ...

A constitutive model for the elastic-plastic behavior of plastically compressible orthotropic materials is proposed based on an ellipsoidal yield surface with evolving ellipticity to accommodate non-uniform hardening or softening associated with stressing in different directions. The model incorporates rate-dependence arising from material rate-dependence and micro-inertial effects. The basic i...

This paper is a phenomenological study representing the influence of hardening type on instrumented indentation F-h curve. Spherical and inverse analysis techniques (IAT) are used two metallic materials (DP600 AA2017) investigated. Pure isotropic (Voce) combined (Chaboche 1986) laws adopted for describing plastic behavior studied materials. The loading curve first. Kinematic results in softenin...

The theory of plasticity is the branch of mechanics that deals with the calculation of stresses and strains in a body, made of ductile material, permanently deformed by a set of applied forces. The theory is based on certain experimental observations on the macroscopic behavior of metals in uniform states of combined stresses. The observed results are then idealized into a mathematical formulat...

The paper reports on finite element method (FEM) analysis of Cu–SiC composites behaviour under cyclic loading conditions. In order to emphasise the influence of materials description on following results, there were two hardening rules used to describe the plastic behaviour of the matrix: (a) simple isotropic and (b) combined isotropic-kinematic. Reinforcing ceramics was assumed to be perfectly...

A common belief in phenomenological strain gradient plasticity modeling is that including the of scalar variables constitutive setting leads to size-dependent isotropic hardening, whereas second-order tensors induces kinematic hardening. The present paper shows it also possible produce hardening using scalar-based theory. For this purpose, a new model involving equivalent plastic developed and ...