{"title":"柱/球交叉压力容器的坍塌","authors":"F. Ellyin, A.N. Sherbourne","doi":"10.1016/0369-5816(65)90027-X","DOIUrl":null,"url":null,"abstract":"<div><p>A general method is presented for finding lower and upper bounds on the collapse pressure for a plastic-rigid vessel composed of intersecting cylindrical and spherical shells obeying Tresca's yield condition and associated flow rule. Depending upon the ratio <span><math><mtext>(</mtext><mtext>t</mtext><mtext>d</mtext><mtext>)/(</mtext><mtext>T</mtext><mtext>D</mtext><mtext>)</mtext></math></span> different types of solutions are generated. The solutions are presented in terms of generalized stresses and may be used in conjunction with any choice of yield surface of the form <em>Φ</em>(<em>N</em><sub><em>ϕ</em></sub>,<em>N</em><sub><em>θ</em></sub>,<em>M</em><sub><em>ϕ</em></sub>) = <em>C</em><sup>2</sup>.</p></div>","PeriodicalId":100973,"journal":{"name":"Nuclear Structural Engineering","volume":"2 2","pages":"Pages 169-180"},"PeriodicalIF":0.0000,"publicationDate":"1965-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0369-5816(65)90027-X","citationCount":"11","resultStr":"{\"title\":\"The collapse of cylinder/sphere intersecting pressure vessels\",\"authors\":\"F. Ellyin, A.N. Sherbourne\",\"doi\":\"10.1016/0369-5816(65)90027-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A general method is presented for finding lower and upper bounds on the collapse pressure for a plastic-rigid vessel composed of intersecting cylindrical and spherical shells obeying Tresca's yield condition and associated flow rule. Depending upon the ratio <span><math><mtext>(</mtext><mtext>t</mtext><mtext>d</mtext><mtext>)/(</mtext><mtext>T</mtext><mtext>D</mtext><mtext>)</mtext></math></span> different types of solutions are generated. The solutions are presented in terms of generalized stresses and may be used in conjunction with any choice of yield surface of the form <em>Φ</em>(<em>N</em><sub><em>ϕ</em></sub>,<em>N</em><sub><em>θ</em></sub>,<em>M</em><sub><em>ϕ</em></sub>) = <em>C</em><sup>2</sup>.</p></div>\",\"PeriodicalId\":100973,\"journal\":{\"name\":\"Nuclear Structural Engineering\",\"volume\":\"2 2\",\"pages\":\"Pages 169-180\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1965-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0369-5816(65)90027-X\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Structural Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/036958166590027X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Structural Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/036958166590027X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The collapse of cylinder/sphere intersecting pressure vessels
A general method is presented for finding lower and upper bounds on the collapse pressure for a plastic-rigid vessel composed of intersecting cylindrical and spherical shells obeying Tresca's yield condition and associated flow rule. Depending upon the ratio different types of solutions are generated. The solutions are presented in terms of generalized stresses and may be used in conjunction with any choice of yield surface of the form Φ(Nϕ,Nθ,Mϕ) = C2.
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