A new generalized FEM is introduced for solving problems with discontinuous gradient fields. The method relies on enrichment functions associated with generalized degrees of freedom at the nodes generated from the intersection of the phase interface with element edges. The proposed approach has several advantages over conventional generalized FEM formulations, such as a lower computational cost...

Finite Element Method(FEM), which is based upon continuum mechanics and the physics of materials, is one of the most widely used deformation method in digital biomedical area. Unlike other light-weighted deformation models (Mass-Spring, Free Form, Chainmail, BEM, etc)using in other areas, FEM gets the most accurate deforming results in the cost of large scale of computation. In this paper, we p...

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...

Both diffusion approximation (DA) and Monte Carlo (MC) models have been used to simulate light distribution in multilayered human skin with or without discrete blood vessels. However, no detailed comparison of the light distribution, heat generation and induced thermal damage between these two models has been done for discrete vessels. Three models were constructed: (1) MC-based finite element ...

The paper is devoted to the convergence analysis of a well-known cell-centered Finite Volume Method (FVM) for a convection-difïusion problem in R. This FVM is based on Voronoi boxes and exponential fitting. To prove the convergence of the FVM, we use a new nonconforming PetrovGalerkin Finite Element Method (FEM) for which the System of linear équations coïncides completely with that of the FVM....

We propose a fast stiffness matrix calculation technique for nonlinear finite element method (FEM). Nonlinear stiffness matrices are constructed usingGreen-Lagrange strains, which are derived from infinitesimal strains by adding the nonlinear terms discarded from small deformations. We implemented a linear and a nonlinear finite element method with the same material properties to examine the di...

To analyze resonances in an axisymmetric inhomogeneous cavity, a higher-order finite element method (FEM) is developed. Mixed higher-order node-based and edge-based elements are applied to eigenvalue analysis for the azimuthal component and meridian components of the field, respectively. Compared with the lower-order FEM, the higher-order FEM can improve accuracy with the same number of unknown...

Numerical Finite-element method (FEM) based algorithms have been widely applied for the reconstruction of the photoacoustic image. As compared with the traditional analytic methods, the FEM based methods can be easily used to deal with problems with irregularly shaped imaging domain. However, the FEM based algorithms are usually computationally intensive because repeated manipulations of matric...

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its simplicity and ease of implementation into existing Finite Element (FEM) or Boundary Element (BEM) software. The method is first verified with classical test examples in structural mechanics. Then two practical applications are pre...