In the present paper, applicability of the modified fixed grid finite element method in solution of three dimensional elasticity problems of functionally graded materials is investigated. In the non-boundary-fitted meshes, the elements are not conforming to the domain boundaries and the boundary nodes which are used in the traditional finite element method for the application of boundary condit...

This paper describes the concurrent multi-frontal direct solver algorithm for a multi-physics Finite Element Method (FEM). The multi-physics FEM utilizes different element sizes as well as polynomial orders of approximation over element edges, faces, and interiors (element nodes). The solver is based on the concept of a node, and management of unknowns is realized at the level of nodes. The sol...

Abstract This article provides a new finite-element procedure based on Reddy’s third-order shear deformation plate theory (TSDT) to establish the motion equation of functionally graded porous (FGP) sandwich plates resting Kerr foundation (KF). Although TSDT is attractive, it cannot be exploited as expected in analysis due difficulties satisfying zero stress boundary condition. In this study, pr...

We define, analyze, and give efficient algorithms for two kinds of distance measures for rooted and unrooted phylogenies. For rooted trees, our measures are based on the topologies the input trees induce on triplets; that is, on three-element subsets of the set of species. For unrooted trees, the measures are based on quartets (four-element subsets). Triplet and quartet-based distances provide ...

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 research paper, the formulation of a new three-dimensional sector element based on the strain approach is presented for plate bending problems and linear static analysis of circular structures. The proposed element has the three essential external degrees of freedom (Ur, Vθ and W) at each of the eight corner nodes. The displaceme...

Parallelization of explicit finite element dynamics based on domain decomposition and message passing may utilize one of two partitioning cuts, namely cut led through the nodes and element edges or faces (node cut), or cut led across elements, avoiding nodes (element cut). The cost of serial explicit finite element dynamics (without considerations of mechanical contact) is almost wholly associa...

Introduction: Sentinel node mapping has been used for laryngeal carcinoma in several studies, with excellent results thus far.In the current study, we report our preliminary results on sentinel node mapping in laryngeal carcinoma using intra-operative peri-tumoral injection of a radiotracer.   Materials and Methods: Patients with biopsy-proven squamous cell carcinoma of the larynx were included...