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

Table 5

Circumferential stresses for different pressures for isotropic (steel) and transversely isotropic material (beryl and steel).

	𝑅0	Transitional circumferential stresses			Fully plastic circumferential stresses
		Steel	Beryl	Magnesium	Steel	Beryl	Magnesium
𝑃1=10,; 𝑃2=50	0	193.946	193.358	197.498	175.754	118.046	118.046
	0.5	−81.4052	−81.5226	−79.6563	−10	−67.7078	−67.7078
	1	−95.7177	−95.6331	−97.0019	−49.42	−107.128	−107.128
𝑃1=50,; 𝑃2=10	0	−253.946	−253.358	−257.498	−235.754	−178.046	−178.046
	0.5	21.4052	21.5226	19.6563	−50	7.7078	7.7078
	1	35.7177	35.6331	37.0019	−10.58	47.1278	47.1278
𝑃1=0,; 𝑃2=10	0	50.9865	50.8395	51.8744	46.4386	32.0116	32.0116
	0.5	−17.8513	−17.8807	−17.4141	0	−14.427	−14.427
	1	−21.4294	−21.4083	−21.7505	−9.855	−24.282	−24.282

Where 𝑃₁ and 𝑃₂ are internal and external pressures.