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

Table 3

Circumferential stresses for rotating cylinder with variable thickness and variable density 𝑙=0.7, 𝑑=0.5, 𝜔=300,500, 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, 𝑙=0.7, 𝑑=0.5
		0.1	0.2	0.3	0.4	0.5
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=0	0	4.078610121	1.692083635	−0.362927882	−3.599668076	−8.388122376
	1	1.844023846	1.536347566	0.332616455	−2.596999032	−8.186025126
	2	0.698588556	1.166718627	0.723851443	−1.632455674	−7.703313292
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=0	0	4.468498659	1.869943306	−0.216047724	−3.455691317	−8.239259816
	1	2.039946535	1.721858320	0.520942472	−2.403128817	−7.985940189
	2	0.725452105	1.314126561	0.957769537	−1.332711442	−7.351503187
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=400	0	4.078610926	1.692083796	−0.362928200	−3.599667939	−8.388124156
	1	1.844023759	1.536347360	0.332616655	−2.596998868	−8.186026405
	2	0.698588485	1.166718653	0.723851463	−1.632455697	−7.703312785
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=400	0	4.468498329	1.869943517	−0.216047300	−3.455691093	−8.239251730
	1	2.039946605	1.721858238	0.520942423	−2.403128796	−7.985940383
	2	0.725452128	1.314126566	0.957769488	−1.332711458	−7.351503426
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=800	0	4.078610278	1.692083456	−0.362927548	−3.599667594	−8.388125027
	1	1.844023766	1.536347565	0.332616556	−2.596998868	−8.186026291
	2	0.698588473	1.166718654	0.723851445	−1.632455676	−7.703312834
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=800	0	4.468498296	1.869943321	−0.216047655	−3.455691489	−8.239237723
	1	2.039946200	1.721858288	0.520942491	−2.403128819	−7.985940064
	2	0.725452082	1.314126521	0.957769539	−1.332711402	−7.351503219
1𝐸−4∗𝑇𝜃𝜃 MPa	𝑒1	𝑟
		𝑚=0.4, 𝜔=500, 𝑙=0.7, 𝑑=0.5
		0.1	0.2	0.3	0.4	0.5
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=0	0	0.502344054	0.209118575	−0.032085608	−0.411840852	−1.075755914
	1	0.301690685	0.253918828	0.067872877	−0.387759274	−1.337560991
	2	0.170338387	0.272622555	0.177093634	−0.328795174	−1.672186161
𝑝𝑖=300, 𝑝0=150,; 𝜃0=0	0	0.520602572	0.223194821	−0.013327208	−0.385714307	−1.041663604
	1	0.314858338	0.269151250	0.087139893	−0.362225697	−1.303362831
	2	0.175533196	0.289517104	0.201213547	−0.301959686	−1.648231058
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=400	0	0.502344076	0.209118532	−0.032085631	−0.411840853	−1.075756093
	1	0.301690546	0.253918731	0.067873081	−0.387757210	−1.337562051
	2	0.170338398	0.272622541	0.177093558	−0.328795106	−1.672185933
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=400	0	0.520602619	0.223194813	−0.013327161	−0.385714149	−1.041664533
	1	0.314858326	0.269151199	0.087139890	−0.362225687	−1.303362773
	2	0.175533191	0.289517093	0.201213591	−0.301959717	−1.648231090
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=800	0	0.502344041	0.209118525	−0.032085593	−0.411841019	−1.075755756
	1	0.301690548	0.253918749	0.067873075	−0.387757974	−1.337560151
	2	0.170338413	0.272622528	0.177093598	−0.328795120	−1.672185805
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=800	0	0.520602532	0.223194802	−0.013327191	−0.385714162	−1.041664483
	1	0.314858370	0.269151215	0.087139921	−0.362225740	−1.303362723
	2	0.175533168	0.289517159	0.201213488	−0.301959669	−1.648230944