Plane Stress Mixed Mode Crack-Tip Stress Fields Characterized by a Triaxial Stress Parameter and a Plastic Deformation Extent Based Characteristic Length

2008 ◽  
pp. 233-233-37
Author(s):  
F Ma ◽  
MA Sutton ◽  
X Deng
Keyword(s):  
Plastic Deformation ◽  
Plane Stress ◽  
Mixed Mode ◽  
Characteristic Length ◽  
Crack Tip ◽  
Triaxial Stress ◽  
Stress Fields ◽  
Stress Parameter ◽  
Mixed Mode Crack ◽  
Crack Tip Stress

An experimental study on the mixed-mode crack tip deformation fields in polymethyl methacrylate

2003 ◽  
Vol 38 (4) ◽  
pp. 313-328 ◽  
Author(s):  
P-F Luo ◽  
F. C Huang
Keyword(s):  
Polymethyl Methacrylate ◽  
Plane Stress ◽  
Mixed Mode ◽  
Plane Deformation ◽  
Crack Tip ◽  
Specimen Thickness ◽  
Mixed Mode Crack ◽  
Out Of Plane ◽  
Plane Displacement ◽  
Good Agreement

Stereo vision was used to measure the full three-dimensional deformation field around the crack tip region of a compact tension shear (CTS) specimen made of polymethyl methacrylate (PMMA) subjected to mixed-mode (I/II) loading. The stress intensity factors (SIF), K1 and KII, were then estimated using both measured in-plane and out-of-plane deformation fields. The KI and KII values determined from in-plane displacements are in very good agreement with those determined from out-of-plane displacement. The far-field J integral values computed using the line integral are compared with those evaluated using the measured KI and KII values. The extent of the region near a mixed-mode crack tip where the plane stress solutions can reasonably predict the in-plane and out-of-plane displacements was investigated. Experimental results indicate that the solution of the out-of-plane displacement derived on the basis of the plane stress condition does not provide a good approximation to the experimental data for distances from the crack tip within half the specimen thickness. However, there is good agreement between the in-plane displacement measurements and the computed results, even for r/h < 0.5.

Mixed-Mode Crack-Tip Fields in an Anisotropic Functionally Graded Material

2012 ◽  
Vol 79 (5) ◽  
Author(s):  
Linhui Zhang ◽  
Jeong-Ho Kim
Keyword(s):  
Functionally Graded Material ◽  
Mixed Mode ◽  
Crack Tip ◽  
Anisotropic Materials ◽  
Functionally Graded ◽  
Stress Fields ◽  
Order Partial Differential Equation ◽  
Graded Material ◽  
Exponentially Graded ◽  
Crack Tip Stress

This paper provides asymptotic full crack-tip stress field solutions for an in-plane mixed-mode stationary crack in an anisotropic functionally graded material. A monoclinic graded material that has a material symmetry plane is considered. The complex variable approach and the asymptotic scaling factor are used to solve the governing fourth-order partial differential equation for exponentially graded anisotropic materials with gradation either parallel or perpendicular to the crack. Full crack-tip stress fields under mode-I and mode-II loading are visualized and discussed for homogeneous and exponentially graded anisotropic materials. We observe that higher-order terms are affected by material gradation and play an important role on crack-tip stress fields in functionally graded materials.

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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