The purpose of this study was to compare the results of different hierarchical models in engineering analysis applied to dentistry with 2D and 3D models of a tooth and its supporting structures under 100 N occlusal loading at 45° and examine the reliability of simplified 2D models in dental research. Five models were built from computed-tomography scans: four 2D models with Plane Strain and Pla...

In this paper, the extended finite element method (XFEM) is first applied to account for weak discontinuity of axisymmetric electrostatic field. Firstly, interface between two materials in an described by level set method. The enrichment function used modify shape elements. Secondly, illustrate feature function, distribution diagrams functions sub-elements are drawn. 3D field can be simplified ...

In this paper we consider numerical solution of 3D linear elasticity equations described by a coupled system of second order elliptic partial differential equations. This system is discretized by trilinear parallelepipedal finite elements. Preconditioned Conjugate Gradient iterative method is used for solving large-scale linear algebraic systems arising after the Finite Element Method (FEM) dis...

In this paper we consider numerical solution of 3D linear elasticity equations described by a coupled system of second order elliptic partial differential equations. This system is discretized by trilinear parallelepipedal finite elements. Preconditioned Conjugate Gradient iterative method is used for solving large-scale linear algebraic systems arising after the Finite Element Method (FEM) dis...

In this paper a study of the directive gain enhancement obtained using a dielectric lens placed in the near field of radiating elements is discussed. The design and results of a single element patch antenna along with hemispherical and spherical lens radiating in C-band are detailed. The design has been accomplished using the 3D finite-element-method (FEM) electromagnetic EM simulator, HFSS, is...

Based on the finite element method a transient 3D clothed human thermoregulation model is developed. Geometry information of human body is obtained by 3-D scanning data. The controlled system of human body includes three sub-systems which are the tissue system, the circulatory system, and the respiratory system. The 6-node wedge and 8-node block isoparametric elements are used to simulate the h...

The elastic-plastic behavior of the material is considered to analyze the effect of an external circumferential crack on a pipe with thickness transition and double slopes. Using the extended finite element method (XFEM), the J-integral of 3D cracks were investigated and compared between straight pipes and pipes with thickness transition and different slopes. Considering internal press...

this research work is devoted to the development of a mathematical model for the simulation of the flow of polymeric melts through the die region of extruders. a set of governing equations are solved using finite element method. standard galerkin technique is used in conjunction with the mixed scheme to solve the flow equation. due to the non-linear nature of global equations, the picard iterat...

In this paper we focus on generating hierarchies of topological relations for unstructured three-dimensional (3D) finite element (FE) meshes. The related topological elements are agglomerates, faces, edges, and vertices. We provide practical definitions and propose efficient procedures, in particular for the setup of coarse faces and coarse edges. Moreover, we examine the agglomeration algorith...