In this paper, free vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out by a Mesh-Free method. In this analysis, moving least squares shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Essential boundary conditions are imposed by transformation method. In this simulation, an axisymmetric model is ...

This paper describes a new computational method of fully automated anisotropic triangulation of a trimmed parametric surface. Given as input: (1) a domain geometry and (2) a 3 x 3 tensor field that specifies a desired anisotropic node-spacing, this new approach first packs ellipsoids closely in the domain by defining proximity-based interacting forces among the ellipsoids and finding a force-ba...

We prove local a posteriori error estimates for pointwise gradient errors in finite element methods for a second-order linear elliptic model problem. First we split the local gradient error into a computable local residual term and a weaker global norm of the finite element error (the “pollution term”). Using a mesh-dependent weight, the residual term is bounded in a sharply localized fashion. ...

Stress-intensity factors (SIFs) are the most important parameters in fracture mechanics analysis of structures. These parameters are evaluated for a stationary crack in functionally graded plates of arbitrary geometry using a novel Galerkin based mesh-free method. The method involves an element-free Galerkin method (EFGM), where the material properties are smooth functions of spatial coordinate...

aims: the installation of intravenous catheter is an unpleasant and painful experience for many patients. then, it is necessary to provide new methods to either reduce or remove pain in the patients’ injection point. the aim of this study was to investigate the effects of positioning (either sitting or lying) during the installation of intravenous catheter on pain level and the following anxiet...

In tetrahedral mesh generation, the constraints imposed by adaptive element size, good tetrahedral quality (shape measured by some local metric), and material boundaries are often in conflict. Attempts to satisfy these conditions simultaneously frustrate many conventional approaches. We propose a new strategy for boundary conforming meshing that decouples the problem of building tetrahedra of p...

This paper presents the buckling analysis of the piezoelectric functionally graded material (FGM) rectangular plates subjected to non-uniformly distributed loads, heat and voltage based on the mesh-free method. A two-step solution procedure is implemented. The first step is to determine the pre-buckling stresses of the plates subjected to non-uniformly distributed loads. The second step is to s...

This paper introduces fully computable two-sided bounds on the eigenvalues of the Laplace operator on arbitrarily coarse meshes based on some approximation of the corresponding eigenfunction in the nonconforming Crouzeix-Raviart finite element space plus some postprocessing. The efficiency of the guaranteed error bounds involves the global mesh-size and is proven for the large class of graded m...

The nite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges Abstract. This paper is concerned with a speciic nite element strategy for solving elliptic boundary value problems in domains with corners and edges. First, the anisotropic singular behaviour of the solution is described. Then the nite element method with anisotropic, graded meshes and...

Simulations of turbulent flows are challenging and require tight and varying mesh spacings near the walls that depend on the turbulence models used. Semi-structured meshes are often used in the turbulent wall boundary layers due to their ability to be strongly graded and anisotropic. To reduce the discretization errors in the solution, an adaptive approach becomes essential due to the lack of g...