Analysis of flexible elastic–plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear
Mathematical models of a non-linear shallow shell subjected to mechanical and temperature fields and one-sided corrosion wear are proposed. The governing equations are yielded by Hamilton’s principle. The geometric and physical non-linearity follow the Föppl–Kármán approximation and the plastic defo...
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| Veröffentlicht in: | International journal of non-linear mechanics 2020-01, Vol.118, p.103302, Article 103302 |
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| container_title | International journal of non-linear mechanics |
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| creator | Awrejcewicz, J. Krysko, A.V. Krylova, E.Yu Yaroshenko, T.Y. Zhigalov, M.V. Krysko, V.A. |
| description | Mathematical models of a non-linear shallow shell subjected to mechanical and temperature fields and one-sided corrosion wear are proposed. The governing equations are yielded by Hamilton’s principle. The geometric and physical non-linearity follow the Föppl–Kármán approximation and the plastic deformation theory, respectively. Dolinskii and Gutman corrosion models as well as the Duhamel–Neumann model are implemented. The governing mixed-type PDEs are derived. The algorithm to solve the PDEs is based on the method of variational iterations (MVI) and linearization. Convergence of the developed procedure is proved. Theoretical considerations are validated by numerical results.
•Elastic–plastic shells under one sided corrosion are studied.•Temperature/mechanical fields are taken into account.•Governing mixed-type PDEs are derived.•Method of variational iterations is rigorously proved.•Numerous numerical results are provided. |
| doi_str_mv | 10.1016/j.ijnonlinmec.2019.103302 |
| format | Article |
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•Elastic–plastic shells under one sided corrosion are studied.•Temperature/mechanical fields are taken into account.•Governing mixed-type PDEs are derived.•Method of variational iterations is rigorously proved.•Numerous numerical results are provided.</description><subject>Algorithms</subject><subject>Corrosion</subject><subject>Corrosive wear</subject><subject>Hamilton's principle</subject><subject>Linearity</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Non-linearity</subject><subject>Nonlinearity</subject><subject>Plastic deformation</subject><subject>Plastic plates</subject><subject>Plates and shells</subject><subject>Shallow shells</subject><subject>Temperature</subject><subject>Vibration</subject><issn>0020-7462</issn><issn>1878-5638</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqNUEtOwzAUtBBIlM8djFindZw0sZdVxU-qxAbWlmM_K45cu9gpnx0SR-CGnASjsGDJap6eZkYzg9BFSeYlKZvFMLeDD95ZvwU1p6Tk-V9VhB6gWclaViybih2iGSGUFG3d0GN0ktJAsrYm7Qx9rLx0b8kmHAw2Dl5t5wCDk2m06uv9czddOOMIaZF6cC7hDnr5bMM-4r3XELEK-50DjXOGXnqrpFuMPcStdNhYcDph6TUOHopkdeapEGNINnj8AjKeoSMjXYLzXzxFj9dXD-vbYnN_c7debQpV1XwsmKrbquSm1dIslVZdUzPK21yZEcZpwyWhwLuOUKbAcNp2nDcGGDMdUS0n1Sm6nHx3MTztIY1iyBVy_yRotSTZIttkFp9YKkdMEYzYRbuV8U2URPxsLgbxZ3Pxs7mYNs_a9aSFXOPZQhRJWfAKtI2gRqGD_YfLN3FulGE</recordid><startdate>202001</startdate><enddate>202001</enddate><creator>Awrejcewicz, J.</creator><creator>Krysko, A.V.</creator><creator>Krylova, E.Yu</creator><creator>Yaroshenko, T.Y.</creator><creator>Zhigalov, M.V.</creator><creator>Krysko, V.A.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>202001</creationdate><title>Analysis of flexible elastic–plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear</title><author>Awrejcewicz, J. ; Krysko, A.V. ; Krylova, E.Yu ; Yaroshenko, T.Y. ; Zhigalov, M.V. ; Krysko, V.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-8c47319f7daf5cdcb6482970198089269a02e9bb028cef927b996fe88fb0c7903</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algorithms</topic><topic>Corrosion</topic><topic>Corrosive wear</topic><topic>Hamilton's principle</topic><topic>Linearity</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Non-linearity</topic><topic>Nonlinearity</topic><topic>Plastic deformation</topic><topic>Plastic plates</topic><topic>Plates and shells</topic><topic>Shallow shells</topic><topic>Temperature</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Awrejcewicz, J.</creatorcontrib><creatorcontrib>Krysko, A.V.</creatorcontrib><creatorcontrib>Krylova, E.Yu</creatorcontrib><creatorcontrib>Yaroshenko, T.Y.</creatorcontrib><creatorcontrib>Zhigalov, M.V.</creatorcontrib><creatorcontrib>Krysko, V.A.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of non-linear mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Awrejcewicz, J.</au><au>Krysko, A.V.</au><au>Krylova, E.Yu</au><au>Yaroshenko, T.Y.</au><au>Zhigalov, M.V.</au><au>Krysko, V.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of flexible elastic–plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear</atitle><jtitle>International journal of non-linear mechanics</jtitle><date>2020-01</date><risdate>2020</risdate><volume>118</volume><spage>103302</spage><pages>103302-</pages><artnum>103302</artnum><issn>0020-7462</issn><eissn>1878-5638</eissn><abstract>Mathematical models of a non-linear shallow shell subjected to mechanical and temperature fields and one-sided corrosion wear are proposed. The governing equations are yielded by Hamilton’s principle. The geometric and physical non-linearity follow the Föppl–Kármán approximation and the plastic deformation theory, respectively. Dolinskii and Gutman corrosion models as well as the Duhamel–Neumann model are implemented. The governing mixed-type PDEs are derived. The algorithm to solve the PDEs is based on the method of variational iterations (MVI) and linearization. Convergence of the developed procedure is proved. Theoretical considerations are validated by numerical results.
•Elastic–plastic shells under one sided corrosion are studied.•Temperature/mechanical fields are taken into account.•Governing mixed-type PDEs are derived.•Method of variational iterations is rigorously proved.•Numerous numerical results are provided.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijnonlinmec.2019.103302</doi></addata></record> |
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| subjects | Algorithms Corrosion Corrosive wear Hamilton's principle Linearity Mathematical analysis Mathematical models Non-linearity Nonlinearity Plastic deformation Plastic plates Plates and shells Shallow shells Temperature Vibration |
| title | Analysis of flexible elastic–plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear |
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