A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials

Table 6

Intensity factor under different crack lengths.

	Intensity factor	CS-XFEM	XFEM	Analytical solution
1 mm	/10^7  × Pa⋅mm^0.5	0.2995	0.2950	0.3076
	/10^−9  × C⋅mm^−1.5	0.2986	0.2983	0.3076
2 mm	/10^7  × Pa⋅mm^0.5	0.5322	0.5263	0.5416
	/10^−9  × C⋅mm^−1.5	0.5300	0.5230	0.5416
4 mm	/10^7  × Pa⋅mm^0.5	0.8513	0.8368	0.8681
	/10^−9  × C⋅mm^−1.5	0.8454	0.8351	0.8681
6 mm	/10^7  × Pa⋅mm^0.5	1.0517	1.0560	1.0800
	/10^−9  × C⋅mm^−1.5	1.0603	1.0432	1.0800