Sharif Digital Repository

The analytical treatment of fracture analysis of a rigid disk inhomogeneity embedded in a piezoelectric medium is addressed. By virtue of the potential functions introduced by Ding for piezoelectric materials, the governing equations corresponding to this mixed boundary value problem are written as a set of triple integral equations. With the aid of some mathematical techniques, the obtained integral equations are reduced to a Fredholm integral equation and solved by a well-known numerical method. Some numerical results for the stress intensity factors at the tip of the penny-shaped crack are presented. The limiting case of an isotropic solid considered by Selvadurai is used for... 

The propagation of anti-plane surface waves in an inhomogeneous magneto-electro-elastic MEE) half-space with 6mm symmetry is studied. By virtue of both direct and indirect methods, the dispersion relations corresponding to two general cases of material properties variation are obtained. In the first case, it is assumed that all material properties involving MEE properties and density vary similarly in depth. Whereas, the second case considers different variations for MEE properties and density. The non-dispersive shear surface wave velocities pertinent to homogeneous MEE media under eight different surface electromagnetic boundary conditions are obtained as the limiting cases of the current... 

This project presents an outline of the crack tip stress fields in the presence of a plastic enclave around a growing fatigue crack using RKPM and Drucker-Prager criterion for pressure sensitive materials such as concrete and rock. Two distinguished features of RKPM are the arbitrarily high order smoothness and the interpolation property of the shape function which has kronecker delta property at the associated nodes. This method has proved to handle extreme material deformation and moving discontinuities. For the frictional materials such as rock in geotechnical engineering, a non-associated or associated Drucker- Prager plasticity model is appropriate for modeling its constitutive...