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

Table 4

Circumferential stresses for rotating cylinder with variable thickness and variable density 𝑙=0.7, 𝑑=0.5, 𝜔=300,500, strain hardening measure 𝑚=0.6, and different parameters of Young’s modulus under internal and external pressure.

1𝐸−3∗𝑇𝜃𝜃 MPa	𝑒1	𝑟
		𝑚=0.6, 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	4.078550787	1.692092827	−0.362917634	−3.599662505	−8.388124303
	1	1.844008854	1.536344037	0.332619755	−2.596989139	−8.186011860
	2	0.698583918	1.166713498	0.723849363	−1.632447308	−7.703291360
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=0	0	4.468438868	1.869957168	−0.216034432	−3.455686049	−8.239492345
	1	2.039930194	1.721854313	0.520946730	−2.403118071	−7.985927195
	2	0.725447053	1.314120776	0.957767141	−1.332701862	−7.351479020
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=400	0	4.078550758	1.692093003	−0.362917541	−3.599662684	−8.388124758
	1	1.844009034	1.536344170	0.332619845	−2.596989055	−8.186013323
	2	0.698583989	1.166713507	0.723849336	−1.632447294	−7.703291352
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=400	0	4.468440841	1.869957567	−0.216033626	−3.455685275	−8.239588040
	1	2.039930222	1.721854440	0.520946513	−2.403117933	−7.985926001
	2	0.725447107	1.314120882	0.957767050	−1.332701999	−7.351479230
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=800	0	4.078551089	1.692092847	−0.362917694	−3.599662435	−8.388126479
	1	1.844008698	1.536343957	0.332619859	−2.596988916	−8.186012239
	2	0.698583989	1.166713524	0.723849328	−1.632447317	−7.703291542
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=800	0	4.468438120	1.869956228	−0.216035341	−3.455687051	−8.239368632
	1	2.039930039	1.721854569	0.520946538	−2.403117966	−7.985925731
	2	0.725447049	1.314120768	0.957767137	−1.332701833	−7.351479029
1𝐸−4∗𝑇𝜃𝜃 MPa	𝑒1	𝑟
		𝑚=0.6, 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	0.502339190	0.209119023	−0.032080434	−0.411843003	−1.075751575
	1	0.301689441	0.253919137	0.067872897	−0.387758158	−1.337567443
	2	0.170338021	0.272622433	0.177094183	−0.328793821	−1.672191050
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=0	0	0.520600260	0.223196743	−0.013328691	−0.385729358	−1.041635950
	1	0.314857828	0.269151955	0.087140006	−0.362234515	−1.303350674
	2	0.175532879	0.289517002	0.201213980	−0.301960040	−1.648233514
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=400	0	0.502339173	0.209119009	−0.032080335	−0.411843048	−1.075752013
	1	0.301689029	0.253918998	0.067873493	−0.387754850	−1.337566825
	2	0.170338061	0.272622405	0.177094107	−0.328793799	−1.672190560
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=400	0	0.520600268	0.223196732	−0.013328653	−0.385729330	−1.041636334
	1	0.314857844	0.269151936	0.087139999	−0.362234465	−1.303350722
	2	0.175532856	0.289516980	0.201214076	−0.301960031	−1.648233768
𝑝𝑖=150,; 𝑝0=300,; 𝜃0=800	0	0.502339102	0.209118939	−0.032080279	−0.411842835	−1.075752159
	1	0.301689252	0.253919092	0.067873202	−0.387759066	−1.337565663
	2	0.170338011	0.272622432	0.177094145	−0.328793808	−1.672190610
𝑝𝑖=300,; 𝑝0=150,; 𝜃0=800	0	0.520600345	0.223196689	−0.013328705	−0.385729338	−1.041635876
	1	0.314857846	0.269151949	0.087139963	−0.362234522	−1.303350759
	2	0.175532843	0.289516995	0.201214043	−0.301960031	−1.648233661