In this paper, the correlation between the local strain distributions and the average strains obtained by an x-ray measurement are studied through numerical modeling. The finite element method (FEM) is used to simulate the local strain distributions within a three-dimensional random aggregate of isotropic and orthotropic single crystals with hexagonal symmetry under uniaxial elastic tension. Ca...

The effects of incorporating local mechanical behaviour into a structural analysis of a cast ductile iron component are investigated. A recently presented simulation strategy, the closed chain of simulations for cast components, is applied to incorporate local behaviour predicted by a casting process simulation into a Finite Element Method (FEM) structural analysis, and the effects of the strat...

This paper describes algorithms for threedimensional dynamic stress and fracture analysis using the material point method (MPM). By allowing dual velocity fields at background grid nodes, the method provides exact numerical implementation of explicit cracks in a predominantly meshless method. Crack contact schemes were included for automatically preventing crack surfaces from interpenetration. ...

objective: in this paper, finite element model of the l4 vertebra subjected to combination of compression and flexion loading in isotropic and anisotropic cases is investigated. methods: in both cases, the vertebra is considered homogeneous. also, the body of vertebra is divided to cancellous and cortical sections in anisotropic model, but the process is assumed isotropic such as isotropic mode...

dynamic analysis of two-dimensional elasticity problems using the isogeometric analysis method and its comparison with the finite element method is the subject of this research. for this purpose, formulation of the governing differential equation is obtained by using the b-spline basis functions. some numerical examples employing consistent and lumped mass matrices are presented in order to com...

distal extension removable partial denture is a prosthesis with lack of distal dental support with a 13-fold difference in resiliency between the mucosa and the periodontal ligament, resulting in leverage during compression forces. it may be potentially destructive to the abutments and the surrounding tissues. the aim of this study was to assess the effect of implant location on stress distribu...

In this paper an implicit fully discrete local discontinuous Galerkin (LDG) finite element method is applied to solve the time-fractional seventh-order Korteweg-de Vries (sKdV) equation, which is introduced by replacing the integer-order time derivatives with fractional derivatives. We prove that our scheme is unconditional stable and L error estimate for the linear case with the convergence ra...

In the hp-adaptive version of the finite element method for solving partial differential equations, the grid is adaptively refined in both h, the size of the elements, and p, the degree of the piecewise polynomial approximation over the element. The selection of which elements to refine is determined by a local a posteriori error indicator, and is well established. But the determination of whet...