We study a mathematical model describing phase transformations in alloys with kinetics driven by mass transport and stress. To describe the dynamics, a Cahn-Hilliard system taking elastic eeects into account is studied. Existence and uniqueness results for the resulting singular elliptic{parabolic system are given. In the Cahn-Hilliard model, phase boundaries are described by a diffuse interfac...

The dual boundary element method is formulated for the analysis of linear elastic cracked plates. The dual boundary integral equations of the method are the displacement and the traction equations. When these equations are simultaneously applied along the crack boundaries, general crack problems can be solved in a single-region formulation, with both crack boundaries discretized with discontinu...

In this article, the influence of hydrostatic stress and gravity on a clamped- free non homogeneous magneto electro elastic plate of polygonal cross sections is studied using linear theory of elasticity. The equations of motion based on two-dimensional theory of elasticity are applied under the plane strain assumption of prestressed and gravitated magneto electro elastic plate of polygonal cros...

A new numerical method of solution has been developed for the analysis of deformation and stresses in elastic bodies subjected to mixed boundary-conditions. The program is capable of dealing with both regular and irregular shapes of boundaries appropriately. An ideal mathematical model, based on the displacement potential function, has been used in the finite difference solution. The present pa...

Abstract Prediction of cavitation damage to the solid boundary is crucial in application ultrasound. The goal this study investigate potential for a bubble cause mechanical effects on curved elastic and contribute understanding mechanisms bubble-structure interaction. Effects surface curvature are studied using finite volume method. In oscillatory migration bubbles bottom boundary, there severa...