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Extension of the string-on-foundation method to study the shock wave response of an immersed cylinder
This paper presents a simplified method for assessing the damage of a non-stiffened immersed cylinder subjected to the primary shock wave produced by an underwater explosion. The interaction between water and cylinder is split into two different phases. In the first phase, the kinetic energy which i...
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Published in: | International journal of impact engineering 2018-07, Vol.117, p.138-152 |
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container_title | International journal of impact engineering |
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creator | Brochard, Kévin Le Sourne, Hervé Barras, Guillaume |
description | This paper presents a simplified method for assessing the damage of a non-stiffened immersed cylinder subjected to the primary shock wave produced by an underwater explosion. The interaction between water and cylinder is split into two different phases. In the first phase, the kinetic energy which is transmitted by the shock wave to the cylinder is derived from explosion parameters. In the second phase, the cylinder deforms and the additional pressure created by interaction between water and deforming shell is calculated. To simulate the response of a cylinder clamped at its extremities, an analytical method based on the so-called rigid-plastic string on rigid-plastic foundation model is proposed. Closed-form expression is derived for evaluating the final shell deflection and used to highlight the influence of water added mass on cylinder damage. The proposed method is then validated by comparing, for a given cylinder and different shock factors, the resulting damage with finite element results. It appears that for high shock factors (i.e. K ≥ 2), the method allows for a good estimation of the cylinder shell deflection. It however underestimates significantly the deformed area when the shock factor is around 1.5 or lower. Additional research work is on-going to take into account deep immersion effects as well as ring-stiffening of the cylindrical shell. |
doi_str_mv | 10.1016/j.ijimpeng.2018.03.007 |
format | article |
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The interaction between water and cylinder is split into two different phases. In the first phase, the kinetic energy which is transmitted by the shock wave to the cylinder is derived from explosion parameters. In the second phase, the cylinder deforms and the additional pressure created by interaction between water and deforming shell is calculated. To simulate the response of a cylinder clamped at its extremities, an analytical method based on the so-called rigid-plastic string on rigid-plastic foundation model is proposed. Closed-form expression is derived for evaluating the final shell deflection and used to highlight the influence of water added mass on cylinder damage. The proposed method is then validated by comparing, for a given cylinder and different shock factors, the resulting damage with finite element results. It appears that for high shock factors (i.e. K ≥ 2), the method allows for a good estimation of the cylinder shell deflection. It however underestimates significantly the deformed area when the shock factor is around 1.5 or lower. Additional research work is on-going to take into account deep immersion effects as well as ring-stiffening of the cylindrical shell.</description><identifier>ISSN: 0734-743X</identifier><identifier>EISSN: 1879-3509</identifier><identifier>DOI: 10.1016/j.ijimpeng.2018.03.007</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Computer simulation ; Cylinders ; Cylindrical shells ; Damage assessment ; Deflection ; Deformation ; Finite element analysis ; Finite element method ; Fluid dynamics ; Kinetic energy ; Plastic deformation ; Shock waves ; Stiffening ; Submarines ; Underwater explosions</subject><ispartof>International journal of impact engineering, 2018-07, Vol.117, p.138-152</ispartof><rights>2018 Elsevier Ltd</rights><rights>Copyright Elsevier BV Jul 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c340t-ee33f004c7902314e2a24322fa160ec83d9ff9a9607e0c7b072047fe0f7d8b033</citedby><cites>FETCH-LOGICAL-c340t-ee33f004c7902314e2a24322fa160ec83d9ff9a9607e0c7b072047fe0f7d8b033</cites><orcidid>0000-0002-0938-2442</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Brochard, Kévin</creatorcontrib><creatorcontrib>Le Sourne, Hervé</creatorcontrib><creatorcontrib>Barras, Guillaume</creatorcontrib><title>Extension of the string-on-foundation method to study the shock wave response of an immersed cylinder</title><title>International journal of impact engineering</title><description>This paper presents a simplified method for assessing the damage of a non-stiffened immersed cylinder subjected to the primary shock wave produced by an underwater explosion. The interaction between water and cylinder is split into two different phases. In the first phase, the kinetic energy which is transmitted by the shock wave to the cylinder is derived from explosion parameters. In the second phase, the cylinder deforms and the additional pressure created by interaction between water and deforming shell is calculated. To simulate the response of a cylinder clamped at its extremities, an analytical method based on the so-called rigid-plastic string on rigid-plastic foundation model is proposed. Closed-form expression is derived for evaluating the final shell deflection and used to highlight the influence of water added mass on cylinder damage. The proposed method is then validated by comparing, for a given cylinder and different shock factors, the resulting damage with finite element results. It appears that for high shock factors (i.e. K ≥ 2), the method allows for a good estimation of the cylinder shell deflection. It however underestimates significantly the deformed area when the shock factor is around 1.5 or lower. Additional research work is on-going to take into account deep immersion effects as well as ring-stiffening of the cylindrical shell.</description><subject>Computer simulation</subject><subject>Cylinders</subject><subject>Cylindrical shells</subject><subject>Damage assessment</subject><subject>Deflection</subject><subject>Deformation</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Fluid dynamics</subject><subject>Kinetic energy</subject><subject>Plastic deformation</subject><subject>Shock waves</subject><subject>Stiffening</subject><subject>Submarines</subject><subject>Underwater explosions</subject><issn>0734-743X</issn><issn>1879-3509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LwzAYx4MoOKdfQQqeW580bdPelDFfYOBFwVvokidb6prMJJvu29tRPXt6Dv83nh8h1xQyCrS67TLTmX6LdpXlQOsMWAbAT8iE1rxJWQnNKZkAZ0XKC_Z-Ti5C6AAohxImBOffEW0wziZOJ3GNSYje2FXqbKrdzqo2HrUe49qpJLpB3qnDaFw7-ZF8tXtMPIatswGPHa1NTN-jD6gSedgYq9BfkjPdbgJe_d4peXuYv86e0sXL4_PsfpFKVkBMERnTAIXkDeSMFpi3ecHyXLe0ApQ1U43WTdtUwBEkXwLPoeAaQXNVL4GxKbkZe7fefe4wRNG5nbfDpMgHAiUty4IOrmp0Se9C8KjF1pu-9QdBQRyRik78IRVHpAKYGJAOwbsxiMMPe4NeBGnQSlTGo4xCOfNfxQ_M74Py</recordid><startdate>201807</startdate><enddate>201807</enddate><creator>Brochard, Kévin</creator><creator>Le Sourne, Hervé</creator><creator>Barras, Guillaume</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0002-0938-2442</orcidid></search><sort><creationdate>201807</creationdate><title>Extension of the string-on-foundation method to study the shock wave response of an immersed cylinder</title><author>Brochard, Kévin ; Le Sourne, Hervé ; Barras, Guillaume</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c340t-ee33f004c7902314e2a24322fa160ec83d9ff9a9607e0c7b072047fe0f7d8b033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Computer simulation</topic><topic>Cylinders</topic><topic>Cylindrical shells</topic><topic>Damage assessment</topic><topic>Deflection</topic><topic>Deformation</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Fluid dynamics</topic><topic>Kinetic energy</topic><topic>Plastic deformation</topic><topic>Shock waves</topic><topic>Stiffening</topic><topic>Submarines</topic><topic>Underwater explosions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Brochard, Kévin</creatorcontrib><creatorcontrib>Le Sourne, Hervé</creatorcontrib><creatorcontrib>Barras, Guillaume</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of impact engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Brochard, Kévin</au><au>Le Sourne, Hervé</au><au>Barras, Guillaume</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extension of the string-on-foundation method to study the shock wave response of an immersed cylinder</atitle><jtitle>International journal of impact engineering</jtitle><date>2018-07</date><risdate>2018</risdate><volume>117</volume><spage>138</spage><epage>152</epage><pages>138-152</pages><issn>0734-743X</issn><eissn>1879-3509</eissn><abstract>This paper presents a simplified method for assessing the damage of a non-stiffened immersed cylinder subjected to the primary shock wave produced by an underwater explosion. The interaction between water and cylinder is split into two different phases. In the first phase, the kinetic energy which is transmitted by the shock wave to the cylinder is derived from explosion parameters. In the second phase, the cylinder deforms and the additional pressure created by interaction between water and deforming shell is calculated. To simulate the response of a cylinder clamped at its extremities, an analytical method based on the so-called rigid-plastic string on rigid-plastic foundation model is proposed. Closed-form expression is derived for evaluating the final shell deflection and used to highlight the influence of water added mass on cylinder damage. The proposed method is then validated by comparing, for a given cylinder and different shock factors, the resulting damage with finite element results. It appears that for high shock factors (i.e. K ≥ 2), the method allows for a good estimation of the cylinder shell deflection. It however underestimates significantly the deformed area when the shock factor is around 1.5 or lower. Additional research work is on-going to take into account deep immersion effects as well as ring-stiffening of the cylindrical shell.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijimpeng.2018.03.007</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0002-0938-2442</orcidid></addata></record> |
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subjects | Computer simulation Cylinders Cylindrical shells Damage assessment Deflection Deformation Finite element analysis Finite element method Fluid dynamics Kinetic energy Plastic deformation Shock waves Stiffening Submarines Underwater explosions |
title | Extension of the string-on-foundation method to study the shock wave response of an immersed cylinder |
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