Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory

Table 3

The pressure required for initial yielding and fully plastic state for transversely isotropic material (beryl).

Beryl (transversely isotropic material)
Pressure	𝑃𝑖/𝑃𝑓	𝑎/𝑏=0.2	𝑎/𝑏=0.3	𝑎/𝑏=0.4	𝑎/𝑏=0.5	((𝑃𝑓−𝑃𝑖)/𝑃𝑓)∗100
						𝑎/𝑏=0.2	𝑎/𝑏=0.3	𝑎/𝑏=0.4	𝑎/𝑏=0.5
Effective pressure	𝑃𝑖	1.00261	0.83806	0.69237	0.559264	60.525	43.6614	32.3412	23.9391
	𝑃𝑓	1.60944	1.20397	0.91629	0.693147
Internal pressure = 0	𝑃𝑖	1.00261	0.83806	0.69237	0.559264	60.525	43.6614	32.3412	23.9391
	𝑃𝑓	1.60944	1.20397	0.91629	0.693147
Internal pressure = 10	𝑃𝑖	8.99739	9.16194	9.30763	9.44074	6.74451	3.9938	2.40577	1.41822
	𝑃𝑓	8.39056	8.79603	9.08371	9.30685
Internal pressure = 50	𝑃𝑖	48.9974	49.1619	49.3076	49.4407	1.23843	0.74428	0.45409	0.27063
	𝑃𝑓	48.3906	48.796	49.0837	49.3069