The Study of Dynamic Fracture Propagation Using a Special Finite Element Technique

1983 ◽  
Vol 105 (2) ◽  
pp. 232-236 ◽  
Author(s):  
K. W. Chan ◽  
F. T. C. Loo

An efficient finite element method has been developed for the computation of time-dependent stress intensity factors for cracks of Mode I deformation infinite bodies. Quarter point elements are used near the crack tip to approximate the theoretical singularity. Problems considered herein are: the stationary crack subjected to transient loading conditions, and the rapidly propagating crack. The advantages inherent in this method with regard to accuracy and savings in computational costs are discussed.

2008 ◽  
Vol 33-37 ◽  
pp. 103-108
Author(s):  
Hironobu Nisitani ◽  
Kuniharu Ushijima ◽  
D.H. Chen ◽  
Akihide Saimoto

Finite element method (FEM) is used widely for various structural problems. However, in general, it is difficult to guarantee the accuracy of results obtained by commercial software of FEM. In this paper, a practical finite element technique for calculating the stress intensity factors with high accuracy is proposed. This technique is based on the characteristics of stress field due to a crack. In this study, the proposed method is applied to 2-dimentional crack problems.


2002 ◽  
Vol 24 (4) ◽  
pp. 249-256
Author(s):  
Nguyen Dang Hung ◽  
Tran Thanh Ngoc

A conformable and convergent finite element technique is presented for calculation of stress intensity factors for cracked plate membrane problem, which is based on the formulation of the hybrid displacement finite element method, named "Metis elements". In order to achieve a high convergence, this element is combined with an isoparametric element of Barsoum, in which,  the mid-side nodes are moved to quarter-point position. Many examples are numerically tested for evaluation this model, show that the element HSM has a good performance for calculation of stress intensity factors.


2012 ◽  
Vol 195-196 ◽  
pp. 787-790
Author(s):  
Bo He ◽  
Hong Cai Zhang

In this paper, the fracture problem of functionally graded material (FGM) was studied, and the shear modulus was assumed to be an exponential function. The influences of inhomogeneous parameter, crack size and crack angle on the stress intensity factors have been analyzed by the finite element method. The results indicated that the stress intensity factors of mode I decreased with the increasing of the crack angle, the stress intensity factors of mode II increased with the increasing of the crack angle, and the crack stress intensity factor of mode I and mode II decreased with the increasing of the inhomogeneous parameters at crack tips, which was of certain directive significance for the FGM design and manufacture in the actual engineering.


2013 ◽  
Vol 353-356 ◽  
pp. 3369-3377 ◽  
Author(s):  
Ming Guang Shi ◽  
Chong Ming Song ◽  
Hong Zhong ◽  
Yan Jie Xu ◽  
Chu Han Zhang

A coupled method between the Scaled Boundary Finite Element Method (SBFEM) and Finite Element Method (FEM) for evaluating the Stress Intensity Factors (SIFs) is presented and achieved on the platform of the commercial finite element software ABAQUS by using Python as the programming language. Automatic transformation of the finite elements around a singular point to a scaled boundary finite element subdomain is realized. This method combines the high accuracy of the SBFEM in computing the SIFs with the ability to handle material nonlinearity as well as powerful mesh generation and post processing ability of commercial FEM software. The validity and accuracy of the method is verified by analysis of several benchmark problems. The coupled algorithm shows a good converging performance, and with minimum additional treatment can be able to handle more problems that cannot be solved by either SBFEM or FEM itself. For fracture problems, it proposes an efficient way to represent stress singularity for problems with complex geometry, loading condition or certain nonlinearity.


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