scholarly journals Perturbation Solutions on J-Integral for Nonlinear Crack Problems

1987 ◽  
Vol 54 (1) ◽  
pp. 240-242 ◽  
Author(s):  
Ming-Yuan He
Keyword(s):  
J Integral ◽  
Crack Problems ◽  
Nonlinear Crack ◽  
Perturbation Solutions

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

On the decomposition of the J-integral for 3D crack problems

1993 ◽  
Vol 64 (4) ◽  
pp. 339-348 ◽  
Author(s):  
O. Huber ◽  
J. Nickel ◽  
G. Kuhn
Keyword(s):  
J Integral ◽  
Crack Problems

Studies of the Line-Spring Model for Nonlinear Crack Problems

1985 ◽  
Vol 107 (4) ◽  
pp. 412-420 ◽  
Author(s):  
V. Kumar ◽  
M. D. German
Keyword(s):  
Finite Element ◽  
Deformation Theory ◽  
Crack Tip ◽  
Surface Cracks ◽  
Spring Model ◽  
Crack Problems ◽  
Line Spring Model ◽  
Nonlinear Crack ◽  
Shell Finite Element ◽  
The Continuum

This paper presents an investigation of the line-spring model (LSM) of Rice and Levy as applied to nonlinear crack problems. A J2 deformation theory of plasticity formulation of a LSM for obtaining the fully plastic crack solutions is first described in the framework of a shell finite element method. Results are obtained for 2-D axial and circumferential cracks in cylinders and are compared against those developed by detailed finite element crack tip analyses. Discrepancies are found in the case of axially cracked cylinders under internal pressure. To overcome this problem a modified approach, termed the continuum-LSM, is presented, and its finite element implementation is described in some detail. It is shown that in contrast to the shell-LSM, the results obtained by the continuum-LSM for internally pressurized axially cracked cylinders are in close agreement with detailed finite element crack-tip calculations. Lastly, a discussion on the fully plastic analysis of surface cracks by the LSM is also given.

Combined Adaptive Finite Element Method and J-Domain Integral Technique for Crack Problems

2007 ◽  
Vol 340-341 ◽  
pp. 459-464
Author(s):  
Kobsak Potjananapasiri ◽  
Sutthisak Phongthanapanich ◽  
Paritud Bhandhubanyong ◽  
Pramote Dechaumphai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Tip ◽  
Adaptive Finite Element Method ◽  
J Integral ◽  
Adaptive Finite Element ◽  
Domain Integral ◽  
Integral Technique ◽  
Crack Problems ◽  
Element Method

An adaptive finite element method for analyzing two-dimensional and axisymmetric nonlinear elastic fracture mechanics problems with cracks is presented. The J-integral is used as a parameter to characterize the severity of stresses and deformation near a crack tip. The domain integral technique is utilized as the J-integral solution scheme with the 9-node degenerated crack tip elements. The solution accuracy is further improved by incorporating an error estimation procedure to a remeshing algorithm with a solution mapping scheme to resume the analysis at a particular load level after the adaptive remeshing technique has been applied. Two benchmark problems are analyzed to evaluate the efficiency of the combined procedure.

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