Plane strain mixed mode crack-tip stress fields characterized by a triaxial stress parameter and a plastic deformation extent based characteristic length

2001 ◽  
Vol 49 (12) ◽  
pp. 2921-2953 ◽  
Author(s):  
F Ma
Keyword(s):  
Plastic Deformation ◽  
Plane Strain ◽  
Mixed Mode ◽  
Characteristic Length ◽  
Crack Tip ◽  
Triaxial Stress ◽  
Stress Fields ◽  
Stress Parameter ◽  
Mixed Mode Crack ◽  
Crack Tip Stress

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.

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