A new approach for analyzing cracked problems in 2D orthotropic materials using the well-known element free Galerkin method and orthotropic enrichment functions is proposed. The element free Galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. In this study, element free Galerkin is extrinsically enriched by the recently developed crack-tip orthot...

In this work, XFEM is employed to obtain the stress intensity factors (SIFs) of a semi elliptical part through thickness axial crack. In XFEM, additional functions are employed to enrich the displacement approximation using partition of unity approach. Level set functions are approximated using higher order shape functions in the crack front elements to ensure the accurate modeling of the crack...

in this paper, the effects of carbon nanotube (cnt) orientation and aggregation on the static behavior of functionally graded nanocomposite cylinders reinforced by cnts are investigated based on a mesh-free method. the used nanocomposites are made of the straight cnts that are embedded in an isotropic polymer as matrix. the straight cnts are oriented, randomly or aligned or local aggregated int...

in this paper the nonlinear bending analysis of thick functionally graded plates subjected to mechanical loading is studied. the formulation is derived based on the third-order shear deformation plate theory and von kármán type non-linearity. young’s modulus is assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. the principle of virtual wo...

If a complete circular ring is subjected to a known, selfequilibrating system of forces, the equations of equilibrium are not sufficient to determine the internal forces and moments. In certain cases, the defect can be made up by arguments from symmetry, but it is usually necessary to impose the condition of continuity of displacements around the ring. This condition is often greatly simplified...

— Moving pixel displacement detection algorithm using correlation functions for making panorama image on the continuous images is presented in this paper. The input images get from a CMOS image sensor (CIS). The camera is maintained by constant brightness and uniform sensing area in test input pattern. For simple navigation and capture image has to 70% overlapped region. A correlation rate in t...

We present a family of pairs of finite element spaces for the unaltered Hellinger–Reissner variational principle using polynomial shape functions on a single triangular mesh for stress and displacement. There is a member of the family for each polynomial degree, beginning with degree two for the stress and degree one for the displacement, and each is stable and affords optimal order approximati...

The governing equations of three dimensional elasticity problems include the six Beltrami-Michell stress compatibility equations, the three differential equations of equilibrium, and the six material constitutive relations; and these are usually solved subject to the boundary conditions. The system of fifteen differential equations is usually difficult to solve, and simplified methods are usual...