Introduction to Viscoplastic Response

On the one side, Part A models the thermo-elastic and thermo-viscoplastic response, and incorporates an elastic Hencky spring in series with two Ree-Eyring dashpots.

The main objective of this Part II is to develop a Eulerian formulation of the MCPE which is implemented for elastic-viscoplastic response.

The model considers the viscoplastic response by superpositioning a power-law plastic model and a linear viscoelastic model for predicting the growth of the strain envelope.

The purpose of this paper is to investigate the effect of stress classification on cyclic viscoplastic response of a structure (here, a thick spherical vessel which has an application in pressure vessel technology).

For that purpose, the additive/sequential interaction rule and tangent linearization of viscoplastic response proposed for elastic–viscoplastic material can be extended in a straightforward manner.

Here, we compare instantaneous viscoplastic responses of olivine polycrystals predicted by tangent and second-order viscoplastic self-consistent (VPSC) and stress equilibrium-based models to experimental data.

While the precise micromechanisms which lead to a transition from regular plastic deformation of the steel to “quasi-brittle” fracture are at present unclear, in this paper we have formulated a continuum theory for the diffusion of hydrogen coupled with the elastic-viscoplastic response of metals, together with a simple model which leads to quasi-brittle fracture in the presence of hydrogen.

Studies of numerical homogenization in polycrystals, with varying numbers of grains and textures, are also performed to quantify convergence statistics for the macroscopic viscoplastic response.