RT Journal ArticleSR ElectronicID 217110A1 Arnold, Douglas N.A1 Logg, AndersT1 Periodic Table of the Finite ElementsYR 2014JF SIAM NewsSN 0036-1437VO 47IS 9AB The finite element method is one of the most powerful and widely applicable techniques for the numerical solution of partial differenti...
Finite element methodMechanical propertiesSingle-walled nanotubeGroup IV elementsIn this article, the density functional theory is applied to investigate the mechanical properties of single-walled nanotubes of group IV of periodic table including carbon nanotube, silicon nanotube, germanium nanotube and ...
The time-periodic finite-element method is applied to hysteretic eddy-current analysis. A new method for determining the relaxation factor of Newton iteration is proposed for fast convergence to periodic solutions. The influence of hysteretic terms in the Jacobian matrix on the Newton iteration is di...
Finite element method is applied to calculate pressure distributions in bearing clearance. In order to simplify the analyzing process, double sides table model is converted into equivalent single side table model. Results calculated by the proposed modeling method agree well with the results directly ...
Finite Element Time-Dependent AnalysisIn Part 1 of this course, we discussed the applicability of frequency-domain and time-dependent analyses. Let's recap the circumstances that require a transient model:The excitation is a short pulse or includes more than one frequency component. The problem ...
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and shows that it has no element. p = { } or ∅ as the finite set has a countable number of elements and the empty set has zero elements so, it is a definite number of elements. so, with a cardinality of zero, an empty set is a finite set. what is an infinite set? if a ...
In the finite element analysis with ABAQUS, a Xu-Needleman model was used to define the interaction behavior between the contact surfaces. Due to the viscoelastic nature of cell material, the debonding between cell and substrate occurred during cyclic stretch of the substrate. ...
Several finite element methods for simulating incompressible flows rely on the streamline upwind Petrov–Galerkin stabilization (SUPG) term, which is weighted by $$\tau _{\text{SUPG}}$$ . The conventional formulation of $$\tau _{\text{SUPG}}$$ includes a
Using a three-dimensional layerwise-finite element method, the free vibration of thick laminated circular and annular plates supported on the elastic foundation is studied. The Pasternak-type formulation is employed to model the interaction between the plate and the elastic foundation. The discretized ...