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

Table 1

Material properties at 𝜉=0 and 𝜉=ℎ and the exponents.

		𝜉=0	𝜉=ℎ	Exponent
𝐸𝑥	(GPa)	80	80	𝛾𝑥
𝐸𝑦	(GPa)	80	40	𝛾𝑦
𝐺𝑥𝑦	(GPa)	32	26.7	𝛾𝑥𝑦
𝜈𝑥𝑦		0.25	0.25	𝜔𝑥𝑦
𝜈𝑥𝑧		0.25	0.25	𝜔𝑥𝑧
𝜈𝑧𝑥		0.25	0.3	𝜔𝑧𝑥
𝜈𝑧𝑦		0.25	0.3	𝜔𝑧𝑦
𝛼𝑥	(1/°C)	3(10)^−5	3(10)^−5	𝜆𝑥
𝛼𝑦	(1/°C)	3(10)^−5	6(10)^−5	𝜆𝑦
𝛼𝑧	(1/°C)	3(10)^−5	4.5(10)^−5	𝜆𝑧
𝛽𝑥		0.33	0.33	𝜅𝑥
𝛽𝑦		0.33	0.66	𝜅𝑦
𝛽𝑧		0.33	0.495	𝜅𝑧
𝑘𝑥	(W/m·°C)	0.5	0.5	𝜂𝑥
𝑘𝑦	(W/m·°C)	0.5	1	𝜂𝑦
𝐷𝑥	(m^2/s)	3(10)^−15	3(10)^−15	𝜌𝑥
𝐷𝑦	(m^2/s)	3(10)^−15	6(10)^−15	𝜌𝑦