Stochastic Elasto-Plastic Analysis of Necking Bar with Random Tvergaard Coefficients

Longitudinal Motion of an Elasto - Plastic Bar

Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps

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...

Stochastic differential equations with random coefficients

In this paper we establish the existence and uniqueness of a solution for different types of stochastic differential equation with random initial conditions and random coefficients. The stochastic integral is interpreted as a generalized Stratonovich integral, and the techniques used to derive these results are mainly based on the path properties of the Brownian motion, and the definition of th...

An analysis of three-dimensional elasto-plastic sinusoidal contact

Researchers have developedmanymodels to simulate the elasto-plastic contact of spheres. However, there does not appear to exist a closed-form analytical model for elasto-plastic three-dimensional sinusoidal contact. This work uses a finite element model (FEM) to characterize elasto-plastic sinusoidal contact. Although at initial contact the sphere and sinusoidal case are very similar and can bo...

Elasto-Plastic EFGM Analysis of an Edge Crack

In this paper, elasto-plastic analysis of an edge crack has been performed using element free Galerkin method. A model problem has been solved in plane stress condition under mode-I loading. A system of nonlinear equations has been obtained by using incremental theory of plasticity, and the equations are solved by assuming piecewise linear approximation. A code has been written in Matlab for el...