This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, which both allows to fully exploit the unique advantages of the smoothed finite element method and resolve the existence, linearity and posi-tivity deficiencies pointed out in [1]. We show that Wachspress in...

1 EXECUTIVE SUMMARY In a low frequency analysis of vibration in a built-up structure, the eigen frequencies and the corresponding eigenmodes help the understanding of how and why the structure behaves as it does. These eigen solutions are also useful in calculations of forced response by modal super-position procedures. However, as frequency increases there are more and more modes with increasi...

The Extended Finite Element Method (XFEM) is a technique used in fracture mechanics to predict how objects deform as cracks form and propagate through them. Here, we propose the use of XFEM to model the deformations resulting from cutting through organ tissues. We show that XFEM has the potential for being the technique of choice for modelling tissue retraction and resection during surgery. Can...

A Finite Element Method (FEM) mesh is converted to a reluctance network through an original magnetostatic formulation based on face shape functions. This meshed reluctance network is coupled with an standard one, characterizing a 0D system. Both approaches are fully-compatible and the hybridized problem can be solve with a single circuit solver. The approach is tested in 2D on a magnetic circui...

O. Chivu, C. Rontescu, D-T. Cicic, Polytechnic University of Bucharest, Romania This paper presents the results of the practical trials carried out based on the calculation assumptions considered within the FEM of the reconditioning by welding of a crankshaft used in the automotive industry. For the validation of the analytical model it was considered the influence of the crankshaft fixing poss...

The finite element method (FEM) is used to study the influence of porosity and pore shape on the elastic properties of model porous ceramics. The Young’s modulus of each model was found to be practically independent of the solid Poisson’s ratio. At a sufficiently high porosity, the Poisson’s ratio of the porous models converged to a fixed value independent of the solid Poisson’s ratio. The Youn...

build full size prototypes and test and measure the stresses (with strain gauges, etc) A general overview of the use of the Finite Element Method (FEM) is given. It describes how FEM supplements industry use FEM. design codes when dealing with non-standard shapes or The first mentioned choice is on one hand risky and on the complex loading conditions. It covers the reasons for the use other may...

A three dimensional vector finite element method (FEM) has been used to model the permittivity of rice using the scattered far field radiation. Scattering of incident plane wave radiation is analysed to extract the permittivity of granular material. Some reduced parameters obtained from the scattered electric field show a very good correlation with the permittivity of materials (both dielectric...