Abstract. Unified geometric approach to describing kinematics of elastic and plastic deformations of continuous media is suggested. On the base of this approach we study mechanical deformations, viscous flow, and heat transport in glassy plastic media. As a result we derive appropriate differential equations for these phenomena in a form applicable to liquids, elastic solids, and to plastic sol...

The present review paper consists of two main parts, which are not connected. first part is devoted to a general axisymmetric elastic–plastic plane stress solution, assuming polar anisotropy. Strains infinitesimal. principal trajectories coincide with the axes No restrictions imposed on yield criterion other than conventional criteria in plasticity. plastic portion strain rate tensor determined...

We study the scalar elasto-plastic model in two (2d) and three dimensions (3d) under the presence of an imposed shear-rate, following the modifications proposed by Nicolas et al. [1] to the model of Picard and coworkers [2, 3]. An amorphous system is represented by a coarsegrained scalar field σ(r, t), denoting the instantaneous deviatoric shear stress of the system at spatial position r and ti...

Abstract-The elastoplastic constitutive analysis which utilizes the model of multiplicative decomposition of the defo~ation gradient into its elastic and plastic parts has been mainly developed and applied to elastically isotropic materials, which remain isotropic during the process of plastic deformation. This paper extends the application of the model to materials that change their elastic pr...

In this paper we summarize the elements of a numerical integration scheme for elasto-plastic response of single crystals. This is intended to be compatible with large-scale explicit finite element codes and therefore can be used for problems involving multiple crystals and also overall behavior of polycrystalline materials. The steps described here are general for anisotropic elastic and plasti...

Previous work on the elastic deformation of flat-section band clamps has been extended to account for plastic deformation of the band material. Both finite element analysis using a multilinear plastic model and a classical approach using a continuous plastic equation are reported. The excellent agreement between the results of these two approaches provides a high level of confidence in the mode...

We develop numerical methods that efficiently compute image stress fields of defects in an elastic cylinder. These methods facilitate dislocation dynamics simulations of the plastic deformation of micro-pillars. Analytic expressions of the image stress have been found in the Fourier space, taking advantage of the translational and rotational symmetries of the cylinder. To facilitate numerical c...

Abstract This paper provides a formulation of an elastic-plastic beam model. The constitutive behaviour material after elasticity limit is considered perfect plastic. Although this not general plastic behaviour, it allows to minimize mathematical difficulties fulfil the idea: pre-integration trough thickness extended non-linearity. Three types deformation mechanisms are found: fully elastic, pl...

In this paper we present an elastic-plastic analysis of the small-scale yielding crack-tip fields for pressure-sensitibe materials. Mode 1 loading and plane-strain conditions are assumed. The yield criterion is chosen to be a linear combination of the effective stress and the hydrostatic stress. For power-law hardening materials. our elastic-plastic finite element analysis shows that HRRtype cr...

This paper summarizes progress in the development of finite element methods for three-dimensional elastic-plastic stress analysis in fracture mechanics. The work is directed toward the study of stress states near flaws such as a part-through crack in a pressure vessel wall, and emphasis is placed on the large scale plastic yielding range The development of a computer program with large computin...