PSI - Issue 52

J.C. Wen et al. / Procedia Structural Integrity 52 (2024) 625–646 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

645

21

2.5

FEM FBM

2.0

1.5

1.0

0.5

0.0

0

2

4

6

8

10

12

14

16

1 / c t h

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Fig 9. Normalized dynamic stress intensity factor by variational technique and FEM.

0.90

FEM FBM

0.70

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0 / II K a  

0.30

1 / c t h

0.10

0

2

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6

8

10 12 14 16

-0.10

Fig 10. Normalized dynamic stress intensity factor by variational technique and FEM.

6. Conclusion In this paper, an integral contour method is proposed to evaluate the stress intensity factor for a cracked plate in nonhomogeneous media. To determine the SIFs in the generous case, the variation of a reference static solution for the homogeneous case was determined by the meshless finite block method using Chebyshev polynomials. In the Laplace transform domain, the transformed stress intensity factors were evaluated with a regular boundary integral and domain integral for nonhomogeneous materials. The time-dependent variables were obtained by Durbin inverse technique with high accuracy. The degree of the accuracy and convergence of the integral contour technique was demonstrated by three examples. The following conclusions can be drawn: (1) Significantly reduces computational effort by using several blocks to discretize cracked panels; (2) High-precision solutions in the real-time domain can be achieved with fewer samples in Laplace space ； (3) Nonhomogeneous complex problems can be studied in the same way as homogeneous materials. The effects of inhomogeneity can be treated as body forces. Path-independent contour integral can be utilized to determine static and dynamic stress intensity factors. References Wang, B., De Backer, H., Chen, A., 2016. An XFEM based uncertainty study on crack growth in welded joints with defects. Theoretical and Applied Fracture Mechanics, 86, 125-142. Wen, P.H., Cao, P., Korakianitis, T., 2014. Finite Block Method in elasticity. Engineering Analysis with Boundary Elements, 46, 116-125. Li, M., Wen, P.H., 2014. Finite block method for transient heat conduction analysis in functionally graded media. International Journal for Numerical Methods in Engineering, 99(5), 372-390.