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...

The double impulse is introduced as a substitute of the fling-step near-fault ground motion. A closed-form solution of the elastic–plastic response of a structure on compliant (flexible) ground by the “critical double impulse” is derived for the first time based on the solution for the corresponding structure with fixed base. As in the case of fixed-base model, only the free vibration appears u...

AN EXACT asymptotic analysis is presented of the stress and deformation fields near the tip of a quasistatically advancing plane strain tensile crack in an elastic-ideally plastic solid. In contrast to previous approximate analyses, no assumptions which reduce the yield condition, n priori, to the form of constant inplane principal shear stress near the crack tip are made, and the analysis is v...

ABSTRACT. In a previous work by the first author with J. Turi [2], a stochastic variational inequality has been introduced to model an elasto-plastic oscillator with noise. A major advantage of the stochastic variational inequality is to overcome the need to describe the trajectory by phases (elastic or plastic). This is useful, since the sequence of phases cannot be characterized easily. In pa...

A GENERAL time-independent constitutive framework is constructed for crystals capable of crystallographic shearing. No restrictions are placed on their elasticity or on the amounts of slip. In deriving properly-objective relations due account is taken of the separate motions of the material and lattice. A precise specification of the structure of the flow rule leads to conditions for the existe...

Analysis of rock masses with plenty of weakness planes and joints with numerical methods based on meshes encounters difficulties. In the analysis when even only a few meshes are involved, mesh generation can consume more time and effort compared to the construction and solution of the discrete set of equations. Continuous remeshing of the domain in order to avoid the break down of the calculati...

In this paper,fluidity onset analysis in FG thick-walled spherical tanks under concurrent pressure loading and heat gradient has been presented. Designing thick-walled spherical tanks under pressure as tanks holding fluids under heat loads with high heat gradients require new approaches. Under high internal pressure and high temperature, the tank enters the plastic stage in a part of its thickn...

determination of the deformation length is one of the first steps in roll forming design. roll forming industries are very interested in explicit simple relationsfor prediction the deformation length without using trail-and-error methods at workshop or time consuming finite element simulations. in this paper, elastic properties and work-hardening behaviour of the strip are considered in additio...

A constitutive model for describing the mechanical response of an amorphous glassy polycarbonate is proposed. The model is based on an isotropic elastic phase surrounded by an SO(3) continuum of plastic phases onto which the elastic phase can collapse under strain. An approximate relaxed energy is developed for this model on the basis of physical considerations and extensive numerical testing, ...

The objective of this study was to evaluate the adequacy of current J-estimation models commonly used in probabilistic elastic±plastic analysis of ductile cracked structures. A newly developed probabilistic model based on elastic±plastic ®nite element method was used to evaluate the J-estimation model. In both models, the analyses involve elastic±plastic fracture mechanics for underlying determ...