An approach of Green’s function is adopted to solve the inhomogeneous linear differential equations representing wave equations in piezo-composite materials. In particular, transference of horizontally polarised shear (SH) waves is considered in bedded structure comprising of porous-piezo electric layer lying over a heterogeneous half-space. Propagation of SH-waves is considered to be influence...

Abstract Using the method of singular integral equations, elastic-plastic problem for cracked Brazilian disk was solved. Based on Dugdale model and deformation fracture criterion, relationships between critical load, notch tip opening displacement length plastic strips were established. Also, comparison present solution finite domain known obtained semi-infinite in elastic plane performed.

M. A. BIOT* A non-linear analysisforfinite strain and stress has been developed and applied to symmetrical deformations around cylindrical and spherical cavities in rock. The material non-linearity which is involved may result porn either elastic or plastic properties. A drastic analytical simplification reduces the problem to the solution of a,first order differential equation. Fracture is ana...

This study deals with the elastic-plastic impact on moderately thick rectangular plate subjected to uniform in-plane compressive loads resting on the Pasternak elastic foundation. The proposed rectangular plates have two opposite edges simply-supported, while all possible combinations of free, simply-supported and clamped boundary conditions are applied to the other two edges. The dimensionless...

Mathematical models for pollutant transport in semi-infinite aquifers are based on the advection-dispersion equation (ADE) and its variants. This study employs the ADE incorporating time-dependent dispersion and velocity and space-time dependent source and sink, expressed by one function. The dispersion theory allows mechanical dispersion to be directly proportional to seepage velocity. Initial...

Mathematical models for pollutant transport in semi-infinite aquifers are based on the advection-dispersion equation (ADE) and its variants. This study employs the ADE incorporating time-dependent dispersion and velocity and space-time dependent source and sink, expressed by one function. The dispersion theory allows mechanical dispersion to be directly proportional to seepage velocity. Initial...

in this paper, a closed form solution for bending and free vibration analyses of simply supported rectangular laminated composite plates is presented. the static and free vibration behavior of symmetric and antisymmetric laminates is investigated using a refined first-order shear deformation theory. the winkler–pasternak two-parameter model is employed to express the interaction between the lam...

Peridynamics is a continuum theory that operates with non-local deformation measures as well long-range internal force/moment interactions. The resulting equations are of the integral type, in contrast to classical theory, which deals differential equations. aim this paper analyze peridynamic governing for elastic beams. To end, strain energy density formulated function curvature. By applying L...

The development of efficient computational models for the accurate prediction state variables in general composite laminated shells undergoing uniform edge loadings is a major challenge, especially when stress concentration phenomena such as free-edge effect have to be considered. This paper addresses this issue by introducing higher-order semi-analytical approach assessment three-dimensional f...