Hygrothermal Fracture Analysis of Orthotropic Functionally Graded Materials Using 𝐽_𝑘-Integral-Based Methods

Table 2

Comparisons of the mixed-mode stress intensity factors. 𝛾_𝑥=𝛾_𝑦=𝛾_𝑥𝑦=2, 𝜔_𝑥𝑦=𝜔_𝑥𝑧=𝜔_𝑧𝑥=𝜔_𝑧𝑦=2, 𝜆_𝑥=𝜆_𝑦=𝜆_𝑧=2.5, 𝜅_𝑥=𝜅_𝑦=𝜅_𝑧=1.5, 𝜂_𝑥=𝜂_𝑦=2.5, 𝜌_𝑥=𝜌_𝑦=1.5, ℎ_𝑐/ℎ=0.25,ℎ/𝐿=0.4, and 𝑎/𝐿=0.1.  

𝜙	𝑅/𝑎	Method I		Method II
		𝐾I𝑛	𝐾II𝑛	𝐾I𝑛	𝐾II𝑛
0°	0.1	0.0098	0.0122	0.0098	0.0119
	0.2	0.0099	0.0122	0.0098	0.0120
	0.3	0.0099	0.0123	0.0098	0.0120
	0.4	0.0099	0.0123	0.0097	0.0119
30°	0.1	0.0251	0.0080	0.0250	0.0076
	0.2	0.0252	0.0080	0.0251	0.0077
	0.3	0.0253	0.0080	0.0252	0.0077
	0.4	0.0253	0.0081	0.0252	0.0077
45°	0.1	0.0296	−0.0006	0.0296	−0.0008
	0.2	0.0298	−0.0006	0.0298	−0.0008
	0.3	0.0300	−0.0006	0.0300	−0.0007
	0.4	0.0301	−0.0008	0.0301	−0.0007
60°	0.1	0.0287	−0.0081	0.0288	−0.0089
	0.2	0.0292	−0.0083	0.0292	−0.0090
	0.3	0.0297	−0.0086	0.0296	−0.0091
	0.4	0.0301	−0.0086	0.0299	−0.0092