A 4-node hybrid stress-function (HS-F) plane element with drilling degrees of freedom less sensitive to severe mesh distortions

2011 ◽  
Vol 89 (5-6) ◽  
pp. 517-528 ◽  
Author(s):  
Song Cen ◽  
Ming-Jue Zhou ◽  
Xiang-Rong Fu
Keyword(s):  
Stress Function ◽  
Degrees Of Freedom ◽  
Drilling Degrees Of Freedom ◽  
Plane Element ◽  
Hybrid Stress

Quasi-Static Crack Propagation Modeling Using Shape-Free Hybrid Stress-Function Elements with Drilling Degrees of Freedom

2016 ◽  
Vol 13 (03) ◽  
pp. 1650014 ◽  
Author(s):  
Song Cen ◽  
Yi Bao ◽  
Chen-Feng Li
Keyword(s):  
Crack Propagation ◽  
Stress Function ◽  
Degrees Of Freedom ◽  
Singular Element ◽  
Propagation Modeling ◽  
Drilling Degrees Of Freedom ◽  
Simulation Step ◽  
Crack Tips ◽  
Modeling Strategy ◽  
Hybrid Stress

A new plane shape-free multi-node singular hybrid stress-function (HS-F) element with drilling degrees of freedom, which can accurately capture the stress intensity factors at the crack tips, is developed. Then, a quasi-static 2D crack propagation modeling strategy is established by combination of the new singular element and a shape-free 4-node HS-F plane element with drilling degrees of freedom proposed recently. Only simple remeshing with an unstructured mesh is needed for each simulation step. Numerical results show that the proposed scheme is an effective and robust technique for dealing with the crack propagation problems.

scholarly journals Membrane Triangles with Drilling Degrees of Freedom

10.14311/624 ◽  
2004 ◽  
Vol 44 (5-6) ◽  
Author(s):  
P. Fajman
Keyword(s):  
Nonlinear Analysis ◽  
Stiffness Matrix ◽  
Degrees Of Freedom ◽  
Nonlinear Problems ◽  
Drilling Degrees Of Freedom ◽  
Plane Element ◽  
Linear And Nonlinear

An accurate triangular plane element with drilling degrees of freedom is shown in this paper. This element can be successfully used for solving linear and nonlinear problems. The main advantage of this element is that the stiffness matrix is obtained from pure deformations – elongations of the edges. This aproach is very suitable for nonlinear analysis, where the unbalanced forces can be obtained directly from elongations of edges. 

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