A new class of entropy stable schemes for hyperbolic systems: Finite element methods

2020 ◽  
pp. 1
Author(s):  
Ioannis Gkanis ◽  
Charalambos Makridakis
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Hyperbolic Systems ◽  
New Class ◽  
Entropy Stable

SOME RECTANGULAR FINITE ELEMENT METHODS FOR REISSNER-MINDLIN PLATES

1995 ◽  
Vol 05 (06) ◽  
pp. 777-787 ◽  
Author(s):  
C. LOVADINA
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Uniform Convergence ◽  
Finite Element Methods ◽  
Mixed Formulation ◽  
Mindlin Plate ◽  
New Class ◽  
The Family

A new class of rectangular finite elements for Reissner-Mindlin plate problem is presented. The family is based on a modified mixed formulation recently introduced by Arnold and Brezzi. A result of stability and uniform convergence in the thickness is provided.

Equilibrium Profile of Modern Belted Radial Ply Tires: Its Determination and Performance Benefits

2013 ◽  
Vol 41 (2) ◽  
pp. 127-151
Author(s):  
Rudolf F. Bauer
Keyword(s):  
Finite Element ◽  
Aspect Ratio ◽  
Finite Element Methods ◽  
Mathematical Analysis ◽  
Internal Stresses ◽  
Stress Concentrations ◽  
Equilibrium Profiles ◽  
Equilibrium Profile ◽  
And Performance ◽  
Beneficial Property

ABSTRACT The benefits of a tire's equilibrium profile have been suggested by several authors in the published literature, and mathematical procedures were developed that represented well the behavior of bias ply tires. However, for modern belted radial ply tires, and particularly those with a lower aspect ratio, the tire constructions are much more complicated and pose new problems for a mathematical analysis. Solutions to these problems are presented in this paper, and for a modern radial touring tire the equilibrium profile was calculated together with the mold profile to produce such tires. Some construction modifications were then applied to these tires to render their profiles “nonequilibrium.” Finite element methods were used to analyze for stress concentrations and deformations within all tires that did or did not conform to equilibrium profiles. Finally, tires were built and tested to verify the predictions of these analyses. From the analysis of internal stresses and deformations on inflation and loading and from the actual tire tests, the superior durability of tires with an equilibrium profile was established, and hence it is concluded that an equilibrium profile is a beneficial property of modern belted radial ply tires.

Finite element methods for internal flow calculations

1983 ◽  
Author(s):  
W. HABASHI ◽  
M. HAFEZ ◽  
P. KOTIUGA
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Internal Flow
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