Numerical dispersion of higher order nodal elements in the finite-element method

1996 ◽  
Vol 44 (3) ◽  
pp. 317-320 ◽  
Author(s):  
G.S. Warren ◽  
W.R. Scott
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Higher Order ◽  
Numerical Dispersion ◽  
The Finite Element Method ◽  
Element Method

Application of the Williams Expansion near a Bi-Material Interface

2017 ◽  
Vol 754 ◽  
pp. 206-209 ◽  
Author(s):  
Lucie Malíková ◽  
Stanislav Seitl
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Tip ◽  
Higher Order ◽  
Simplified Model ◽  
The Finite Element Method ◽  
Material Interface ◽  
Higher Order Terms ◽  
Element Method ◽  
Crack Tip Stress

A simplified model of a crack approaching a bi-material interface is modelled by means of the finite element method in order to investigate the significance of the higher-order terms of the Williams expansion for the proper approximation of the opening crack-tip stress near the bi-material interface. The discussion on results is presented and the importance of the higher-order terms proved.

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