The nite element method is now well established as a robust and reliable numerical technique in many areas of solid mechanics. There are however problems where the use of the nite element method is cumbersome like the modeling of moving discon-tinuities due to the need to update the mesh to match the geometry of the discontinuity. Even for stationary cracks, in three-dimensional solids, contsru...

In this paper, application of the eXtended Finite Element Method (X-FEM) is considered for the structural optimization of continuum structures using an isoline/isosurface topology optimization algorithm. First, the methodology is described for 2D design domains in which the design boundary is represented by isolines of strain energy density (SED) in a fixed-grid design space. The optimization a...

a new approach is proposed to model a crack in orthotropic composite media using the extended finite element method (xfem). the xfem uses the concept of partition of unity in addition to meshless basic idea of approximating a field variable by its values at a set of surrounding nodes. as a result, higher order approximations can be designed with the same total number of degrees of freedom. in t...

In this study, a hp-version of Finite Element Method (FEM) was applied for forward modeling in image reconstruction of Electrical Impedance Tomography (EIT). The EIT forward solver is normally based on the conventional Finite Element Method (h-FEM). In h-FEM, the polynomial order (p) of the element shape functions is constant and the element size (h) is decreasing. To have an accurate simulatio...

objective: this study was designed to compare the stress produced at the pdl of abutment teeth with two angles of cervical convergence, in otherwise similar settings. materials and methods: two finite element models were designed for a second premolar and a removable partial denture frame containing an i-bar clasp. maximum principal stress (s1) and von mises stress (seqv) were assessed along a ...

in the present research, the effects of delamination size and location on vibration characteristics of laminated composite beams are investigated both analytically and numerically. in the analytical method, the delaminated beam is modeled as four interconnected euler–bernoulli beams and the constrained and free mode models are both simulated. the differential stretching and the bending-extensio...

reported numerical results for three examples using the immersed interface method (IIM) and the extended finite element method (X-FEM). The results presented for the IIM showed first-order accuracy for the solution and inaccurate values of the normal derivative at the interface. This was due to an error in the implementation. The purpose of this note is to present correct results using the IIM ...

Graphene sheets are combined of Honeycombs lattice carbon-carbon bonds which have high natural frequencies, high strength, and high conductivity. Due to important applications of the graphene sheets particularly at higher frequencies, the study of their dynamic behavior is important in this frequency range. From Molecular Dynamics (MD) point of view as the dimensions of graphene sheet incline, ...

A numerical approach based on the extended finite element method efficiency and level set method flexibility is proposed in the present paper for the shape optimization of a switched reluctance motor pole. Using the extended finite element method as an analysis tool, an unstructured and non-conform mesh to the moving interfaces is generated only once, at the beginning of the optimization proces...