Advanced reproducing kernel meshfree modeling of cracked curved shells for mixed-mode stress resultant intensity factors

2020 ◽  
Vol 233 ◽  
pp. 107012 ◽  
Author(s):  
Ming-Jyun Dai ◽  
Satoyuki Tanaka ◽  
Shota Sadamoto ◽  
Tiantang Yu ◽  
Tinh Quoc Bui
Keyword(s):  
Mixed Mode ◽  
Reproducing Kernel ◽  
Intensity Factors ◽  
Stress Resultant ◽  
Mode Stress

Mixed Mode Interface Cracks in a Bi-Material Half Plane and a Bi-Material Strip

1999 ◽  
Author(s):  
Haiying Huang ◽  
George A. Kadomateas ◽  
Valeria La Saponara
Keyword(s):  
Stress Intensity ◽  
Free Boundary ◽  
Half Plane ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Infinite Strip ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Interface Cracks ◽  
Mode Stress

Abstract This paper presents a method for determining the dislocation solution in a bi-material half plane and a bi-material infinite strip, which is subsequently used to obtain the mixed-mode stress intensity factors for a corresponding bi-material interface crack. First, the dislocation solution in a bi-material infinite plane is summarized. An array of surface dislocations is then distributed along the free boundary of the half plane and the infinite strip. The dislocation densities of the aforementioned surface dislocations are determined by satisfying the traction-free boundary conditions. After the dislocation solution in the finite domain is achieved, the mixed-mode stress intensity factors for interface cracks are calculated based on the continuous dislocation technique. Results are compared with analytical solution for homogeneous anisotropic media.

scholarly journals Numerical Estimation of Notch Stress Intensity Factors of Sharp V-Notches

2018 ◽  
Vol 172 ◽  
pp. 03001
Author(s):  
Mirzaul Karim Hussain ◽  
K.S.R.K. Murthy
Keyword(s):  
Finite Element ◽  
Present Method ◽  
Mixed Mode ◽  
Least Squares Method ◽  
Mode I ◽  
Intensity Factors ◽  
Notch Stress ◽  
Stress Components ◽  
Mode Stress ◽  
Notch Stress Intensity Factors

In the present work a simple and efficient least squares method is implemented for accurate estimation of notch stress intensity factors (NSIFs) of sharp V-notches. Finite element (FE) stress components near a notch tip is used in the present method for determining the NSIFs. Pure mode I and mixed mode (I/II) examples are considered for numerical investigations. The mixed mode stress components are disintegrated into opening mode and shear mode stress components to separate out the mode I and mode II singularities. Thereafter, least squares method is implemented to calculate mixed mode NSIFs. The present method is easy to incorporate in existing standard finite element codes. The results obtained by the present method are found to be in good agreement with the published data.

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