scholarly journals Hybrid-Trefftz six-node triangular finite element models for Helmholtz problem

2010 ◽  
Vol 46 (3) ◽  
pp. 455-470 ◽  
Author(s):  
K. Y. Sze ◽  
G. H. Liu
Keyword(s):  
Finite Element ◽  
Finite Element Models ◽  
Triangular Finite Element ◽  
Helmholtz Problem

scholarly journals MULTI-FIELD THREE-NODE TRIANGULAR FINITE ELEMENT MODEL FOR HELMHOLTZ PROBLEM

2011 ◽  
Vol 19 (03) ◽  
pp. 317-344 ◽  
Author(s):  
K. Y. SZE ◽  
Q. H. ZHANG ◽  
G. H. LIU
Keyword(s):  
Finite Element ◽  
Element Model ◽  
Finite Element Models ◽  
Triangular Finite Element ◽  
Finite Element Program ◽  
Variational Functional ◽  
Helmholtz Problem ◽  
Element Program ◽  
Single Field ◽  
Element Boundary

In this paper, four three-node triangular finite element models which can readily be incorporated into the standard finite element program framework are devised via a multi-field variational functional for the bounded plane Helmholtz problem. In the models, boundary and domain fields are independently assumed. The former is constructed by nodal interpolation and the latter comprises nonsingular solutions of the Helmholtz equation. The equality of the two fields are enforced along the element boundary. Among the four devised models, the most accurate one is 1/3 to 1/2 less erroneous than the conventional single-field model in most examples.

A Finite Element Analysis of the General Rolling Contact Problem for a Viscoelastic Rubber Cylinder

1988 ◽  
Vol 16 (1) ◽  
pp. 18-43 ◽  
Author(s):  
J. T. Oden ◽  
T. L. Lin ◽  
J. M. Bass
Keyword(s):  
Finite Element ◽  
Variational Principles ◽  
Standing Waves ◽  
Rolling Contact ◽  
Finite Element Models ◽  
Viscoelastic Cylinder ◽  
Element Analysis ◽  
Elastic Rubber ◽  
Frictional Effects ◽  
Rough Foundation

Abstract Mathematical models of finite deformation of a rolling viscoelastic cylinder in contact with a rough foundation are developed in preparation for a general model for rolling tires. Variational principles and finite element models are derived. Numerical results are obtained for a variety of cases, including that of a pure elastic rubber cylinder, a viscoelastic cylinder, the development of standing waves, and frictional effects.

Affordable structural optimization for large-size dynamic finite element models

1997 ◽  
Author(s):  
Francois Hemez ◽  
Emmanuel Pagnacco ◽  
Francois Hemez ◽  
Emmanuel Pagnacco
Keyword(s):  
Finite Element ◽  
Structural Optimization ◽  
Finite Element Models ◽  
Dynamic Finite Element ◽  
Large Size
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