J-integral evaluation for 2D mixed-mode crack problems employing a meshfree stabilized conforming nodal integration method

2016 ◽  
Vol 58 (2) ◽  
pp. 185-198 ◽  
Author(s):  
Satoyuki Tanaka ◽  
Hirotaka Suzuki ◽  
Shota Sadamoto ◽  
Shogo Sannomaru ◽  
Tiantang Yu ◽  
...  
Keyword(s):  
Mixed Mode ◽  
Integration Method ◽  
J Integral ◽  
Integral Evaluation ◽  
Nodal Integration ◽  
Mixed Mode Crack ◽  
Crack Problems ◽  
Stabilized Conforming Nodal Integration

J-Integral Evaluation of Single-Edge Notched Specimens under Mixed-Mode I/II Loading

2001 ◽  
Vol 29 (3) ◽  
pp. 239 ◽  
Author(s):  
DR Petersen ◽  
RE Link ◽  
CD Donne ◽  
A Pirondi
Keyword(s):  
Mixed Mode ◽  
Mode I ◽  
J Integral ◽  
Single Edge ◽  
Integral Evaluation ◽  
Notched Specimens

A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity

1980 ◽  
Vol 47 (2) ◽  
pp. 335-341 ◽  
Author(s):  
J. F. Yau ◽  
S. S. Wang ◽  
H. T. Corten
Keyword(s):  
Stress Intensity ◽  
Conservation Laws ◽  
Mixed Mode ◽  
Current Approach ◽  
Mixed Mode Crack ◽  
Crack Problems ◽  
Practical Engineering ◽  
Mode Stress ◽  
Isotropic Solids

A simple and convenient method of analysis for studying two-dimensional mixed-mode crack problems is presented. The analysis is formulated on the basis of conservation laws of elasticity and of fundamental relationships in fracture mechanics. The problem is reduced to the determination of mixed-mode stress-intensity factor solutions in terms of conservation integrals involving known auxiliary solutions. One of the salient features of the present analysis is that the stress-intensity solutions can be determined directly by using information extracted in the far field. Several examples with solutions available in the literature are solved to examine the accuracy and other characteristics of the current approach. This method is demonstrated to be superior in its numerical simplicity and computational efficiency to other approaches. Solutions of more complicated and practical engineering fracture problems dealing with the crack emanating from a circular hole are presented also to illustrate the capacity of this method.

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