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

Table 2

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

Steel (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	1.00604	0.84032	0.69384	0.560183	59.9777	43.2757	32.0616	23.7358
	𝑃𝑓	1.60944	1.20397	0.91629	0.693147
Internal pressure = 0	𝑃𝑖	1.00604	0.84032	0.69384	0.560183	59.9777	43.2757	32.0616	23.7358
	𝑃𝑓	1.60944	1.20397	0.91629	0.693147
Internal pressure = 10	𝑃𝑖	8.99396	9.15968	9.30616	9.43982	6.70895	3.97012	2.39035	1.40861
	𝑃𝑓	8.39056	8.79603	9.08371	9.30685
Internal pressure = 50	𝑃𝑖	48.994	49.1597	49.6062	49.4398	1.23158	0.73983	0.45126	0.26881
	𝑃𝑓	48.3906	48.796	49.0837	49.3069