A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

We present a novel mesh-free scheme for solving partial differential equations. We first derive a conservative and stable formulation of mesh-free first derivatives. We then show that this formulation is a special case of a general conservative mesh-free framework that allows flexible choices of flux schemes. Necessary conditions and algorithms for calculating the coefficients for our mesh-free...

Existing physically based deformation techniques, such as the finite element method (FEM) and the mass-spring systems (MSS), require the deformed object to be properly meshed. This is arguably the most expensive manual intervention process. In this paper, we propose a mesh-free deformation technique where only unconnected points are involved. The idea is to develop an approximate analytical sol...

In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer...

In this paper, free and forced vibration analysis of functionally graded material cylinders was carried out by mesh-free and finite element method. In this analysis, MLS shape functions are used for approximation of displacement field in the weak form of motion equation and essential boundary conditions are imposed by transformation method. Resulted set of differential equations are solved usin...

objectives: indicators of oral health-related quality of life (ohrqol) in children are widely adopted to evaluate the effects of oral problems. recently, the scale of oral health outcomes for 5-year-old children (soho-5) was developed based on the children’s self-reports. this study aimed to evaluate the validity and reliability of the persian version of the questionnaire in a sample of iranian...

Mesh-free approximation is used in numerical simulations of strain localization under large deformation. An explicit displacement based mesh-free formulation is used in both two-dimensional and three-dimensional computations. The spatial isotropy of mesh-free interpolant is demonstrated through the numerical example to show that mesh-free methods possess certain ``mesh objectivity'' that allevi...

Bulk carriers have an important role in international maritime transport. In this paper, we carried out a numerical study on a model of bulk carrier vessel and calculated total resistance of the model. A model of a bulk carrier vessel with length of 2.76 m, breadth of 0.403 m and draught of 0.173 m was selected for numerical modeling. Numerical work was done by commercial CFD software ANSY...

The objectives of this study are mainly two: (1) to validate whether a single grain scratch process can be modeled in two dimensions under the assumption plane strain, and (2) select best discretization approach model process. This paper first focuses on simulation orthogonal cutting (aluminum alloy A2024 T351) using mesh-based approaches, pure Lagrangian method (LAG) arbitrary Lagrangian–Euler...