The phenomenological theory of elastic–plastic response is reconsidered in the light of recent opinion regarding the constitutive character of the constituent elastic and plastic deformations. The primary role of dissipation in the physics of plastic evolution is emphasized and shown to lead to the clarification of a number of open questions. Particular attention is given to the invariance prop...

this work presents thermoplastic analysis of fg rotating diskswith variable thickness and constant angular velocity. the solutions are obtained by variable material property (vmp) theory. in this theory, the domain is divided into some finite sub-domains in the radial direction, in which the properties are assumed to be constant and the form of the elastic response is used to solve elastic-plas...

The finite element method has been largely used to analyze mechanical problems and, in particular, to obtain the response of cracked structures. One of the major issues in using the method is mesh generation. Nowadays, several automatic mesh generation algorithms are available for two-dimensional models. Crack analysis imposes severe requirements on automatic mesh generation. It is not uncommon...

In a unified approach, the virtual work equations in rate form and in incremental forms are derived rigorously for elastic-plastic continuum subjected to large strains. T h e finite element p r d u r e s for the analyses of clastic-plastic solid b a d on Lee’s theory and the Green-Naghdi theory arc presented. Also, i t i s shown that transformations can be performed among the Eulerian, the Tota...

Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random fluctuations in elastic moduli and/or yield limits and (2) a polycrystal made of randomly oriented anisotropic grains. In each case, the spatial assignment of ma...