Numerical modelling of thin anisotropic membrane under dynamic load
This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The anisotropic continuum medium model described in the article can be used to model a membrane...
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| Veröffentlicht in: | Aeronautical journal 2021-01, Vol.125 (1283), p.109-126 |
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| container_title | Aeronautical journal |
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| creator | Aksenov, V.V. Vasyukov, A.V. Petrov, I.B. |
| description | This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The anisotropic continuum medium model described in the article can be used to model a membrane made of composite material using its effective elastic parameters. The model and the method allow the consideration of problems when the quasi-static approximation is not valid and elastic waves caused by the impact should be calculated. The model and the method can be used for numerical study of different processes in thin composite layers, such as shock load, ultrasound propagation, non-destructive testing procedures and vibrations. The thin membrane is considered as a 2D object in 3D space, an approach that allows a reduction in the computational time compared with full 3D models, while still having an arbitrary material rheology and load profile. |
| doi_str_mv | 10.1017/aer.2020.61 |
| format | Article |
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The anisotropic continuum medium model described in the article can be used to model a membrane made of composite material using its effective elastic parameters. The model and the method allow the consideration of problems when the quasi-static approximation is not valid and elastic waves caused by the impact should be calculated. The model and the method can be used for numerical study of different processes in thin composite layers, such as shock load, ultrasound propagation, non-destructive testing procedures and vibrations. The thin membrane is considered as a 2D object in 3D space, an approach that allows a reduction in the computational time compared with full 3D models, while still having an arbitrary material rheology and load profile.</description><identifier>ISSN: 0001-9240</identifier><identifier>EISSN: 2059-6464</identifier><identifier>DOI: 10.1017/aer.2020.61</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Composite materials ; Computing time ; Dynamic loads ; Elastic waves ; Mathematical models ; Membranes ; Nondestructive testing ; Numerical analysis ; Numerical methods ; Rheological properties ; Rheology ; Shock loads ; Space stations ; Thin films ; Three dimensional models ; Velocity</subject><ispartof>Aeronautical journal, 2021-01, Vol.125 (1283), p.109-126</ispartof><rights>The Author(s), 2020. 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The thin membrane is considered as a 2D object in 3D space, an approach that allows a reduction in the computational time compared with full 3D models, while still having an arbitrary material rheology and load profile.</description><subject>Composite materials</subject><subject>Computing time</subject><subject>Dynamic loads</subject><subject>Elastic waves</subject><subject>Mathematical models</subject><subject>Membranes</subject><subject>Nondestructive testing</subject><subject>Numerical analysis</subject><subject>Numerical methods</subject><subject>Rheological properties</subject><subject>Rheology</subject><subject>Shock loads</subject><subject>Space stations</subject><subject>Thin films</subject><subject>Three dimensional models</subject><subject>Velocity</subject><issn>0001-9240</issn><issn>2059-6464</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNptkEtLAzEUhYMoWKsr_0DApUy9ecxkspTiC4pudB1uk0xNmZnUZGbRf--UFty4unD4OIf7EXLLYMGAqQf0acGBw6JiZ2TGodRFJSt5TmYAwArNJVySq5y3AAK4lDOyfB87n4LFlnbR-bYN_YbGhg7foafYhxyHFHfB0s5364S9p2PvfKJu32M3xW1Ed00uGmyzvzndOfl6fvpcvharj5e35eOqsLxUQ7EGrTzUzKGWHBsuGOOaSYFSWc2FtVY55oUHhdqqmrM1r0uQWGtfaqFQzMndsXeX4s_o82C2cUz9NGm4rLTWoi7ribo_UjbFnJNvzC6FDtPeMDAHS2ayZA6WTMUmujjROP0X3Mb_lf7H_wJMmGg8</recordid><startdate>202101</startdate><enddate>202101</enddate><creator>Aksenov, V.V.</creator><creator>Vasyukov, A.V.</creator><creator>Petrov, I.B.</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7XB</scope><scope>88I</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PADUT</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0003-4977-101X</orcidid></search><sort><creationdate>202101</creationdate><title>Numerical modelling of thin anisotropic membrane under dynamic load</title><author>Aksenov, V.V. ; Vasyukov, A.V. ; Petrov, I.B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c257t-b097e081da942af231129143a47c923ccc7d1e3e07a9c7821b28504a89e5937a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Composite materials</topic><topic>Computing time</topic><topic>Dynamic loads</topic><topic>Elastic waves</topic><topic>Mathematical models</topic><topic>Membranes</topic><topic>Nondestructive testing</topic><topic>Numerical analysis</topic><topic>Numerical methods</topic><topic>Rheological properties</topic><topic>Rheology</topic><topic>Shock loads</topic><topic>Space stations</topic><topic>Thin films</topic><topic>Three dimensional models</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aksenov, V.V.</creatorcontrib><creatorcontrib>Vasyukov, A.V.</creatorcontrib><creatorcontrib>Petrov, I.B.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Research Library China</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Aeronautical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aksenov, V.V.</au><au>Vasyukov, A.V.</au><au>Petrov, I.B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical modelling of thin anisotropic membrane under dynamic load</atitle><jtitle>Aeronautical journal</jtitle><addtitle>Aeronaut. j</addtitle><date>2021-01</date><risdate>2021</risdate><volume>125</volume><issue>1283</issue><spage>109</spage><epage>126</epage><pages>109-126</pages><issn>0001-9240</issn><eissn>2059-6464</eissn><abstract>This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. 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| identifier | ISSN: 0001-9240 |
| ispartof | Aeronautical journal, 2021-01, Vol.125 (1283), p.109-126 |
| issn | 0001-9240 2059-6464 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Composite materials Computing time Dynamic loads Elastic waves Mathematical models Membranes Nondestructive testing Numerical analysis Numerical methods Rheological properties Rheology Shock loads Space stations Thin films Three dimensional models Velocity |
| title | Numerical modelling of thin anisotropic membrane under dynamic load |
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