1431 Intensity of singular stress fields for two-dimensional joints under shear loading By an enriched finite element

2005 ◽  
Vol 2005.1 (0) ◽  
pp. 281-282
Author(s):  
Hideo KOGUCHI ◽  
Chonlada LUANGARPA ◽  
Monchai PRUKVILAILERT
Keyword(s):  
Finite Element ◽  
Shear Loading ◽  
Stress Fields ◽  
Two Dimensional ◽  
Singular Stress ◽  
Enriched Finite Element ◽  
Singular Stress Fields

Computations of Singular Stresses Along Three-Dimensional Corner Fronts by a Super Singular Element Method

2017 ◽  
Vol 14 (06) ◽  
pp. 1750065 ◽  
Author(s):  
Xuecheng Ping ◽  
Mengcheng Chen ◽  
Wei Zhu ◽  
Yihua Xiao ◽  
Weixing Wu
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Three Dimensional ◽  
Stress Singularity ◽  
Stress Fields ◽  
Singular Element ◽  
Singular Stress ◽  
Numerical Studies ◽  
Enriched Finite Element ◽  
Singular Stress Fields

In order to consider corner configurations with straight corner fronts in three-dimensional (3D) solids, a super polygonal prismatic element containing a straight corner front is established by using the numerical eigensolutions of singular stress fields and the Hellinger–Reissner variational principle. Singular stresses near the corner front subject to far-field boundary conditions can be obtained by incorporating the super singular element with conventional 3D brick elements. The numerical studies are conducted to demonstrate the simplicity of the proposed technique in handling fracture problems of 3D corner configurations and cracks. The usage of the super singular element can avoid mesh refinement near the corner front domain that is necessary for conventional and enriched finite element methods, and lead to high accuracy and fast convergence. Compared with the conventional finite element methods and existing analytical methods, the present method is more suitable for dealing with complicated problems of stress singularity in elasticity including multiple defects.

Subdomain-based error techniques for generalized finite element approximations of problems with singular stress fields

2013 ◽  
Vol 52 (6) ◽  
pp. 1395-1415 ◽  
Author(s):  
Felício B. Barros ◽  
Clovis S. de Barcellos ◽  
C. Armando Duarte ◽  
Diego A. F. Torres
Keyword(s):  
Finite Element ◽  
Stress Fields ◽  
Singular Stress ◽  
Finite Element Approximations ◽  
Singular Stress Fields ◽  
Generalized Finite Element
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