The MLPG for crack analyses in composites with flexoelectricity effects

2018 ◽  
Vol 204 ◽  
pp. 105-113 ◽  
Author(s):  
Jan Sladek ◽  
Vladimir Sladek ◽  
Milan Jus
Keyword(s):  
Crack Analyses

435 Three-Dimensional Crack Analyses using Tetrahedral Finite Elements

2005 ◽  
Vol 2005 (0) ◽  
pp. 325-326
Author(s):  
Hiroshi OKADA ◽  
Daisuke HATTANDA ◽  
Kousuke ARAKI
Keyword(s):  
Finite Elements ◽  
Three Dimensional ◽  
Crack Analyses

XFEM Analyses Using Two-Dimensional Quadrilateral Elements Enriched with Only the Heaviside Step Function

2021 ◽  
Author(s):  
Toshio Nagashima ◽  
Chenyu Wang
Keyword(s):  
Extended Finite Element Method ◽  
Internal Force ◽  
Step Function ◽  
Distance Functions ◽  
Two Dimensional ◽  
Extended Finite Element ◽  
Quadrilateral Element ◽  
Heaviside Step Function ◽  
Quadrilateral Elements ◽  
Crack Analyses

In the framework of the extended finite element method, a two-dimensional four-node quadrilateral element enriched with only the Heaviside step function is formulated for stationary and propagating crack analyses. In the proposed method, two types of signed distance functions are used to implicitly express crack geometry, and finite elements, which interact with the crack, are appropriately partitioned according to the level set values and are then integrated numerically for derivation of the stiffness matrix and internal force vectors. The proposed method was verified by evaluating stress intensity factors, performing crack propagation analyses and comparing the obtained results with reference solutions.

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