6.4. Example 2

Figure 13. Plate with an edge crack on the ceramic rich side under mode-I loading.

186 Contact and Fracture Mechanics

Figure 14. A plot of crack extension with number of cycles.

A rectangular FGM plate of length (Lt) 100 mm. and height (Ht) 200 mm. with 100% copper nickel alloy on left side and 100% ceramic (alumina) on right side is considered. Property variation is taken in x-direction, where x varies from x = 0 to x = 100 mm. A uniform traction of 100 MPa is applied on the top edge of the rectangular domain along y direction. Cyclic loading is applied at top edge of the plate with a maximum value of σmax ¼ 100 MPa and minimum value of σmin ¼ 0 MPa. A uniform mesh of size 117 � 235 nodes is used for the analysis in each case. The values of SIFs are computed at the tip of the major crack. The variation of SIF with crack length is plotted in each case. The material properties are taken from Table 2 [43].
