Thermo Elastic-Plastic Analysis of Rotating Functionally Graded Stainless Steel Composite Cylinder under Internal and External Pressure Using Finite Difference Method

Table 1

Circumferential stresses for rotating cylinder with constant thickness and constant density, 𝜔=300,500, nonlinear strain hardening measure 𝑚=0.4, and different parameters of Young’s modulus under internal and external pressure.

1𝐸−3∗𝑇𝜃𝜃 MPa	𝑒1	𝑟
				𝑚=0.4, 𝜔=300
		0.1	0.2	0.3	0.4	0.5
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=0	0	8.3454530141	3.4064915847	0.0677187483	−3.9596784280	−8.9602457103
	1	3.3799641785	2.7171534961	0.8969909345	−2.6654005915	−8.5548978826
	2	1.1503024505	1.8118357165	1.2081310260	−1.5371690373	−7.8899736228
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=0	0	8.8188655176	3.6471590677	0.2649872301	−3.7776104911	−8.7852151029
	1	3.6049642996	2.9421535689	1.1219909709	−2.4404004448	−8.3298983560
	2	1.1869707579	1.9774764390	1.4492915544	−1.2424185539	−7.5536537230
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=400	0	8.3454529134	3.4064914474	0.0677186071	−3.9596781512	−8.9602463330
	1	3.3799641163	2.7171535146	0.8969910927	−2.6654006381	−8.5548985793
	2	1.1503024507	1.8118357152	1.2081310262	−1.5371690375	−7.8899736082
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=400	0	8.8188661275	3.6471591256	0.2649873453	−3.7776106334	−8.7852145930
	1	3.6049644528	2.9421536040	1.1219910130	−2.4404005339	−8.3298984893
	2	1.1869707578	1.9774764389	1.4492915543	−1.2424185538	−7.5536537227
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=800	0	8.3454532713	3.4064916133	0.0677188786	−3.9596783083	−8.9602460739
	1	0.3799644417	2.7171537078	0.8969909208	−2.6654005810	−8.5548984885
	2	1.1503024510	1.8118357165	1.2081310255	−1.5371690384	−7.8899735899
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=800	0	8.8188658525	3.6471597197	0.2649871677	−3.7776107003	−8.7852160047
	1	3.6049639860	2.9421535165	1.1219910039	−2.4404004285	−8.3298983452
	2	1.1869707577	1.9774764387	1.4492915543	−1.2424185537	−7.5536537224
1𝐸−4∗𝑇𝜃𝜃 MPa	𝑒1	𝑟
		𝑚=0.4, 𝜔=500
		0.1	0.2	0.3	0.4	0.5
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=0	0	1.1199643681	0.4548287897	0.0269123600	−0.4863252783	−1.2191626393
	1	0.6272813080	0.5095768873	0.1910926579	−0.4339086008	−1.5351994013
	2	0.3263905498	0.5038039436	0.3586769803	−0.3274307737	−1.9402396397
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=0	0	1.1512903744	0.4761073745	0.0479630332	−0.4638575699	−1.1948611058
	1	0.6497506092	0.5320656463	0.2136358300	−0.4115308637	−1.5126545536
	2	0.3354452568	0.5269344433	0.3869603568	−0.3022694774	−1.9278605585
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=400	0	1.1199644787	0.4548287386	0.0269122948	−0.4863252189	−1.2191625155
	1	0.6272812978	0.5095769102	0.1910926887	−0.4339085404	−1.5351993416
	2	0.3263905755	0.5038038300	0.3586769873	−0.3274306978	−1.9402449592
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=400	0	1.1512904788	0.4761073218	0.0479628568	−0.4638573696	−1.1948613670
	1	0.6497506075	0.5320656332	0.2136358153	−0.4115307488	−1.5126545365
	2	0.3354452679	0.5269344696	0.3869603369	−0.3022695403	−1.9278600529
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=800	0	1.1199642715	0.4548288045	0.0269123491	−0.4863251255	−1.2191624769
	1	1.1199644787	0.4548287386	0.0269122948	−0.4863252189	−1.2191625155
	2	0.3263905007	0.5038038190	0.3586771087	−0.3274306558	−1.9402425453
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=800	0	1.1512903765	0.4761073125	0.0479629909	−0.4638574341	−1.1948612858
	1	0.6497505961	0.5320656017	0.2136358897	−0.4115308258	−1.5126545465
	2	0.3354452477	0.5269344295	0.3869603736	−0.3022695113	−1.9278604854