The Armstrong-Frederick Plasticity model with Cosserat effects

Granular hypoplasticity with Cosserat effects

This paper provides an extension to Cosserat mechanics of a recently proposed version of hypoplasticity [1], and this extension is achieved economically by means of a novel complex-variable formulation of Cosserat theory. The present work represents a compact synthesis and theoretical framework for both non-polar and polar hypoplasticity, and it encompasses various special cases considered in t...

On the numerical algorithm for isotropic–kinematic hardening with the Armstrong–Frederick evolution of the back stress

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...

Computational Implementation of Cosserat Based Strain Gradient Plasticity Theories

The current trend in microelectronics towards miniaturization has pushed for an interest in theories intended to explain the behavior of materials at small scales. In particular, an increase in yield strength with decreasing size has been experimentally observed in several materials and under different loading conditions. A class of non-classical continuum mechanics theories has been recently e...

Some links between Cosserat, strain gradient crystal plasticity and the statistical theory of dislocations

The King-Armstrong method.

message was that those who use a KingArmstrongmethod should standardize it by the manual method of King and Wootton (1956). Although most clinical chemists in the United Kingdom still use either a manual or mechanized King-Armstrong method, little help was offered to the increasing numbers of clinical chemists using either ,B-glycerophosphate or pnitrophenol phosphate as substrate. The relative...