PSI - Issue 52

J.C. Wen et al. / Procedia Structural Integrity 52 (2024) 625–646

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Author name / Structural Integrity Procedia 00 (2019) 000 – 000

0.5 = R 1.0 = R 1.5 = R Chen

c t h / 1

Fig 7. Normalized dynamic stress intensity factor obtained by different integral paths.

5.3. A rectangular plate containing a slant-edge crack for homogenous.

The rectangular plate length a , height h and width w shown in Fig. 8 (a) contains an inclined edge crack with an angle of 45  =  . It is subjected to a dynamic load 0 ( ) H t  on the top surface and is fixedly supported at the bottom surface. The computational domain is divided into four blocks, as shown in Fig. 8 (b). In this example, the Poisson’s ratio  = 0.3 and the Young’s modulus is taken one unit. The numbers of Chebyshev polynomial terms 31 M N = = , and the normalised variation of the crack length / a a  is defined as 0.0001. The geometry parameters are selected as / 0.5 a w = , / 1, w h = and the number of sample points in Laplace space is 1 51 K + = . The free parameters 5/ T  = , where observation time is 0 40 T t = . Comparisons of the dynamic stress intensity factors 0 ( ) / I K t a   and 0 ( ) / II K t a   with the result of FEM. Excellent agreement can be obtained for both the variational method with contour integral and FEM, as shown in Fig. 9 and Fig. 10.

0 ( ) H t 

0 ( ) H t 

y

y

II

I

a

h

a

h





4 h

4 h

IV

III

x

x

w

w

O

O

(a)

(b)

Fig 8. Rectangular plate containing slant-edge crack. (a) Geometry and dynamic load and (b) modeling with four blocks.