A Finite Element Approach for the Elastic-Plastic Behavior of a Steel Pipe Used to Transport Natural Gas

Table 1

Numerical and analytical results for the elastic case.

𝑟 (mm)	𝜎𝑟 (MPa)		𝜎𝜃 (MPa)
	FEM	Analytic solution	FEM	Analytic solution
104.21	−71.55	−71.55	124.89	124.88
115.58	−52.89	−52.93	106.22	106.27
124.21	−42.40	−42.47	95.80	95.80
135.76	−31.18	−31.20	84.52	84.54
146.32	−23.16	−23.15	76.49	76.49
163.64	−13.14	−13.17	66.48	66.50
176.32	−7.64	−7.64	60.98	60.98
193.64	−1.77	−1.78	55.10	55.10