scholarly journals Crack tip fields in elastic-plastic and mixed mode I+II+III conditions, finite elements simulations and modeling

2015 ◽  
Vol 9 (33) ◽  
pp. 397-403
Author(s):  
F. Fremy ◽  
S. Pommier ◽  
E. Galenne ◽  
S. Courtin
Keyword(s):  
Finite Elements ◽  
Mixed Mode ◽  
Crack Tip ◽  
Mode I ◽  
Elastic Plastic ◽  
Crack Tip Fields ◽  
Simulations And Modeling

Mixed mode (I and II) crack tip fields in bulk metallic glasses

2009 ◽  
Vol 57 (11) ◽  
pp. 1880-1897 ◽  
Author(s):  
Parag Tandaiya ◽  
U. Ramamurty ◽  
R. Narasimhan
Keyword(s):  
Metallic Glasses ◽  
Mixed Mode ◽  
Bulk Metallic Glasses ◽  
Crack Tip ◽  
Mode I ◽  
Crack Tip Fields

Mixed Mode I/III Crack-Tip Fields for Perfectly Plastic Mises Materials

2007 ◽  
Author(s):  
J. Pan
Keyword(s):  
Mixed Mode ◽  
Crack Tip ◽  
Shear Loading ◽  
Mode I ◽  
Pure Mode ◽  
Loading Conditions ◽  
Plane Shear ◽  
Tensile Stresses ◽  
Crack Tip Fields ◽  
Perfectly Plastic

In this paper, governing equations and solutions for asymptotic singular and non-singular crack-tip sectors in perfectly plastic Mises materials are first reviewed under combined in-plane and out-of-plane shear loading conditions. The crack-tip fields under mixed mode I/III loading conditions are then investigated. One assembly of four crack-tip plastic sectors is adopted with stress discontinuities along the border of two constant stress sectors. The solutions of the crack-tip fields under pure mode I and mixed mode I/III loading conditions are presented. The crack-tip fields under pure mode I and mixed mode I/III loading conditions give fully-plastic solutions with various hydrostatic tensile stresses ahead of the crack tip. The characteristics of the mode I limits of fully plastic crack-tip fields with different hydrostatic tensile stresses ahead of the crack tip agree well the past computational results under pure mode I with different constraint conditions.

Asymptotic Crack-Tip Fields for Perfectly Plastic Solids Under Plane-Stress and Mixed-Mode Loading Conditions

1990 ◽  
Vol 57 (3) ◽  
pp. 635-638 ◽  
Author(s):  
P. Dong ◽  
J. Pan
Keyword(s):  
Plane Stress ◽  
Mixed Mode ◽  
Crack Tip ◽  
Mode I ◽  
Mode Ii ◽  
Crack Tip Field ◽  
Crack Tip Fields ◽  
Perfectly Plastic ◽  
Mixed Mode Crack ◽  
Small Constant

In this paper, we first discuss some of the properties of the crack-tip sectors for perfectly plastic materials under plane-stress conditions. Then starting with the plane-stress mixed-mode crack-tip fields suggested by Shih (1973), we assemble these sectors in a slightly different manner from those in Shih (1973). The missing governing equations needed to completely specify the crack-tip fields for both near mode I and near mode II mixed-mode loadings are derived. The mode I crack-tip field, as the limit of the near mode I cases, differs from Hutchinson’s solution (1968) by the appearance of a small constant stress sector ahead of the crack tip. In addition, the relevance of the solutions of the near mode II cases to some interesting features of the mixed-mode crack-tip fields, as suggested by Budiansky and Rice (1973), is also discussed.

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