This paper presents a constitutive modelling technique for the multi-phase transformations in mono-crystalline silicon under complex loading. The development is based on the physical mechanisms observed experimentally and the incremental theory of plasticity. The stress–strain relationship is derived using closed loading/unloading surfaces, associated flow rule and isotropic hardening rule, to ...

Uniaxial tensile tests of aluminium-lithium alloy AA1420 were conducted at superplastic forming conditions. The mechanical properties of this Al-Li alloy were then modelled by a set of physicallybased constitutive equations. The constitutive equations describe the isotropic work hardening, recovery and damage by dislocation density changes and grain size evolution. Based on a recent upgraded op...

The algorithmic consistency conditions are derived which yield the plastic loading index for the combined isotropic– kinematic hardening plasticity with the Armstrong–Frederick evolution equation for the back stress. Rate-independent elastic–plastic, and rate-dependent viscoelastic–plastic and elastic–viscoplastic material models are all encompassed by the analysis. The directions of the plasti...

using cold working fastener holes is a simple life enhancement procedure that strengthens metallic components by retarding crack growth around a hole. in the present paper, the residual stress field that is induced by the hole expansion process is obtained based on different material models namely elastic perfect plastic, isotropic hardening and kinematic hardening using three-dimensional finit...