Homotopy Iteration Algorithm for Crack Parameters Identification with Composite Element Method

Table 8

Crack identification in a cantilever beam.

	Initial	True	Identified results
			2s	4s
Single crack
Crack location 𝑥𝑐 (mm)	750	250	250.000162	250.000259
Crack depth ℎ𝑐 (mm)	3	1	1.000001	1.000001
Division of 𝜆	—	—	26	20
No. of iteration	—	—	92	96
Two cracks
Crack locations 𝑥𝑐1/𝑥𝑐2 (mm)	360/700	250/600	249.603356/599.789017	250.009037/600.005717
Crack depths ℎ𝑐1/ℎ𝑐2 (mm)	2/7.8	1/6.5	0.997240/6.498047	1.000067/6.500058
Division of 𝜆	—	—	16	15
No. of iteration	—	—	137	137