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.

A singular element of shape-free hybrid stress-function finite elements in anisotropic materials

2019 ◽  
Vol 101 ◽  
pp. 103-112 ◽  
Author(s):  
Yuebing Li ◽  
Mingjue Zhou ◽  
Yan Shang ◽  
Weiya Jin ◽  
Shuiqing Zhou ◽  
...  
Keyword(s):  
Finite Elements ◽  
Stress Function ◽  
Anisotropic Materials ◽  
Singular Element ◽  
Hybrid Stress

scholarly journals Fracture in Bulk Amorphous Alloys

1998 ◽  
Vol 554 ◽  
Author(s):  
J. A. Horton ◽  
J. L. Wright ◽  
J. H. Schneibel
Keyword(s):  
Crack Propagation ◽  
Crack Growth ◽  
Shear Bands ◽  
Bulk Amorphous Alloy ◽  
In Situ Tem ◽  
X Ray Diffraction ◽  
Transmission Electron ◽  
Crack Tips ◽  
Temperature Fracture

AbstractThe fracture behavior of a Zr-based bulk amorphous alloy, Zr-10 Al-5 Ti-17.9 Cu-14.6Ni (at.%), was examined by transmission electron microscopy (TEM) and x-ray diffraction forany evidence of crystallization preceding crack propagation. No evidence for crystallizationwas found in shear bands in compression specimens or at the fracture surface in tensile specimens.In- situ TEM deformation experiments were performed to more closely examine actualcrack tip regions. During the in-situ deformation experiment, controlled crack growth occurredto the point where the specimen was approximately 20 μm thick at which point uncontrolledcrack growth occurred. No evidence of any crystallization was found at the crack tips or thecrack flanks. Subsequent scanning microscope examination showed that the uncontrolledcrack growth region exhibited ridges and veins that appeared to have resulted from melting. Performing the deformations, both bulk and in-situ TEM, at liquid nitrogen temperatures (LN2) resulted in an increase in the amount of controlled crack growth. The surface roughness of the bulk regions fractured at LN2 temperatures corresponded with the roughness of the crack propagation observed during the in-situ TEM experiment, suggesting that the smooth-appearing room temperature fracture surfaces may also be a result of localized melting.

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