We introduce a new redistancing method for level set functions. This method applies in a finite element setting and uses a gradient recovery technique. Based on the recovered gradient a quasi-normal field on the zero level of the finite element level set function is defined and from this an approximate signed distance function is determined. For this redistancing method rigorous error bounds ar...

The natural frequencies and mode shapes of pneumatic tires are predicted using a geometrically accurate, three-dimensional finite element modeling. Tire rubber materials and cord layers are represented independently using “shell element” available in COSMOS. The effects of some physical parameters such as the inflation pressure tread pattern, thickness of belts and ply angles to the natural ...

As interest in plasmonics grows the optical properties of thin metal films becomes increasingly significant. Here we explore the transmissivity of thin metal films at normal incidence, from the ultraviolet to microwaves, and show how, contrary to simplistic treatments, the microwave transmissivity may be much less than the optical transmissivity for films which are well below the skin depth in ...

It is proved that a two dimensional evolutionary Ginzburg-Landau superconductivity model is an approximation of acorresponding thin plate three dimensional superconductivity model when the thickness of the plate uniformly approaches zero Some relatedtopics such as existence ofweak solutions to the three dimensional variable thickness model and the convergence when the variable thickness...

Ultrasonic transducers play a significant role in generating and receiving the acoustic waves in ultrasonic flowmeters. Depending on the required accuracy, the ultrasonic transducers can be installed either in one pair or more in an ultrasonic flowmeter. The main part of an ultrasonic transducer is its piezoceramic element. In this work, four piezoceramic elements with different diameter to thi...

Example. Every non-zero element of ⋀ V is trivially totally decomposable. Example. If dimV = 3, then every non-zero element of ⋀ V is totally decomposable. Proof. Given a sum v1 ∧v2 +v3 ∧v4 of two non-zero elements of ⋀ V , the two-dimensional subspaces Span(v1, v2) and Span(v3, v4) must intersect. If w1 is in the intersection, then we can rewrite v1∧v2 = w1 ∧w2 for some w1 ∈ Span(v1, v2). Simi...

This article presents investigations of self-positioning microstructures and nanostructures by analytical techniques, finite element analysis and atomic-scale modeling. Closed-form solutions for curvature radius of self-positioning hinge structures are obtained for plane strain and generalized plane strain deformation. The finite element method is used for predicting hinge curvature radius for ...

Limited by the deficiency of the finite element method (FEM) to deal with infinite domain problems, the traditional FEM rolling model is not suitable enough to study the effect of the complex internal stress of the incoming strip on hot rolling deformation. To solve this problem, the finite element and infinite element (FE-IE) coupling method is adopted, where the finite element is for the roll...

a single column cation exchanger resin was used to eliminate cations from renet cheese whey, with particular reference to the improvement of taste and flavor. ten panelists were convened to assess the contribution of the mineral components to the salty taste of whey, judging on the basis of taste, flavor and color. the organoleptic characteristics of untreated whey were arbitrarily assigned...

A least-squares spectral finite element method was used to develop an accurate computer code for prediction of solidification from a melt under the influence of an externally applied magnetic field. The computational results indicate significantly different flow-field patterns and thermal fields in the melt and the accrued solid in the cases of full gravity, reduced gravity, and an applied unif...