Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium
This paper presents a semi-analytical approach for investigating the nonlinear buckling and postbuckling of spiral corrugated sandwich functionally graded (FGM) cylindrical shells under external pressure and surrounded by a two-parameter elastic foundation based on Donnell shell theory. The improved...
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Veröffentlicht in: | Materials 2020-04, Vol.13 (8), p.1984 |
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creator | Tho Hung, Vu Thuy Dong, Dang Thi Phuong, Nguyen Ngoc Ly, Le Quang Minh, Tran Trung, Nguyen-Thoi Hoai Nam, Vu |
description | This paper presents a semi-analytical approach for investigating the nonlinear buckling and postbuckling of spiral corrugated sandwich functionally graded (FGM) cylindrical shells under external pressure and surrounded by a two-parameter elastic foundation based on Donnell shell theory. The improved homogenization theory for the spiral corrugated FGM structure is applied and the geometrical nonlinearity in a von Karman sense is taken into account. The nonlinear equilibrium equation system can be solved by using the Galerkin method with the three-term solution form of deflection. An explicit solution form for the nonlinear buckling behavior of shells is obtained. The critical buckling pressure and the postbuckling strength of shells are numerically investigated. Additionally, the effects of spiral corrugation in enhancing the nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells are validated and discussed. |
doi_str_mv | 10.3390/ma13081984 |
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The improved homogenization theory for the spiral corrugated FGM structure is applied and the geometrical nonlinearity in a von Karman sense is taken into account. The nonlinear equilibrium equation system can be solved by using the Galerkin method with the three-term solution form of deflection. An explicit solution form for the nonlinear buckling behavior of shells is obtained. The critical buckling pressure and the postbuckling strength of shells are numerically investigated. Additionally, the effects of spiral corrugation in enhancing the nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells are validated and discussed.</description><identifier>ISSN: 1996-1944</identifier><identifier>EISSN: 1996-1944</identifier><identifier>DOI: 10.3390/ma13081984</identifier><identifier>PMID: 32344545</identifier><language>eng</language><publisher>Switzerland: MDPI AG</publisher><subject>Boundary conditions ; Buckling ; Civil engineering ; Coordinate transformations ; Cylindrical shells ; Elastic foundations ; Elastic media ; Equilibrium equations ; External pressure ; Functionally gradient materials ; Galerkin method ; Homogenization ; Nonlinearity ; Postbuckling ; Shear strain ; Shell theory ; Shells ; Temperature effects</subject><ispartof>Materials, 2020-04, Vol.13 (8), p.1984</ispartof><rights>2020. This work is licensed under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2020 by the authors. 2020</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c406t-ee49a8e0c09c4e1796118015f2f5a4ba5ed3a9d729d62dd1553f3b857df189193</citedby><cites>FETCH-LOGICAL-c406t-ee49a8e0c09c4e1796118015f2f5a4ba5ed3a9d729d62dd1553f3b857df189193</cites><orcidid>0000-0002-5518-6979 ; 0000-0001-7985-6706</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC7362207/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC7362207/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,723,776,780,881,27901,27902,53766,53768</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/32344545$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Tho Hung, Vu</creatorcontrib><creatorcontrib>Thuy Dong, Dang</creatorcontrib><creatorcontrib>Thi Phuong, Nguyen</creatorcontrib><creatorcontrib>Ngoc Ly, Le</creatorcontrib><creatorcontrib>Quang Minh, Tran</creatorcontrib><creatorcontrib>Trung, Nguyen-Thoi</creatorcontrib><creatorcontrib>Hoai Nam, Vu</creatorcontrib><title>Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium</title><title>Materials</title><addtitle>Materials (Basel)</addtitle><description>This paper presents a semi-analytical approach for investigating the nonlinear buckling and postbuckling of spiral corrugated sandwich functionally graded (FGM) cylindrical shells under external pressure and surrounded by a two-parameter elastic foundation based on Donnell shell theory. The improved homogenization theory for the spiral corrugated FGM structure is applied and the geometrical nonlinearity in a von Karman sense is taken into account. The nonlinear equilibrium equation system can be solved by using the Galerkin method with the three-term solution form of deflection. An explicit solution form for the nonlinear buckling behavior of shells is obtained. The critical buckling pressure and the postbuckling strength of shells are numerically investigated. 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subjects | Boundary conditions Buckling Civil engineering Coordinate transformations Cylindrical shells Elastic foundations Elastic media Equilibrium equations External pressure Functionally gradient materials Galerkin method Homogenization Nonlinearity Postbuckling Shear strain Shell theory Shells Temperature effects |
title | Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium |
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