Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak’s elastic foundations
The investigation of bending response of a simply supported functionally graded (FG) viscoelastic sandwich beam with elastic core resting on Pasternak’s elastic foundations is presented. The faces of the sandwich beam are made of FG viscoelastic material while the core is still elastic. Material pro...
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| Veröffentlicht in: | Acta mechanica 2010-07, Vol.212 (3-4), p.233-252 |
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| creator | Zenkour, Ashraf M. Allam, M. N. M. Sobhy, M. |
| description | The investigation of bending response of a simply supported functionally graded (FG) viscoelastic sandwich beam with elastic core resting on Pasternak’s elastic foundations is presented. The faces of the sandwich beam are made of FG viscoelastic material while the core is still elastic. Material properties are graded from the elastic interfaces through the viscoelastic faces of the beam. The elastic parameters of the faces are considered to be varying according to a power-law distribution in terms of the volume fraction of the constituent. The interaction between the beam and the foundations is included in the formulation. Numerical results for deflections and stresses obtained using the refined sinusoidal shear deformation beam theory are compared with those obtained using the simple sinusoidal shear deformation beam theory, higher- and first-order shear deformation beam theories. The effects due to material distribution, span-to-thickness ratio, foundation stiffness and time parameter on the deflection and stresses are investigated. |
| doi_str_mv | 10.1007/s00707-009-0252-6 |
| format | Article |
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N. M. ; Sobhy, M.</creator><creatorcontrib>Zenkour, Ashraf M. ; Allam, M. N. M. ; Sobhy, M.</creatorcontrib><description>The investigation of bending response of a simply supported functionally graded (FG) viscoelastic sandwich beam with elastic core resting on Pasternak’s elastic foundations is presented. The faces of the sandwich beam are made of FG viscoelastic material while the core is still elastic. Material properties are graded from the elastic interfaces through the viscoelastic faces of the beam. The elastic parameters of the faces are considered to be varying according to a power-law distribution in terms of the volume fraction of the constituent. The interaction between the beam and the foundations is included in the formulation. Numerical results for deflections and stresses obtained using the refined sinusoidal shear deformation beam theory are compared with those obtained using the simple sinusoidal shear deformation beam theory, higher- and first-order shear deformation beam theories. The effects due to material distribution, span-to-thickness ratio, foundation stiffness and time parameter on the deflection and stresses are investigated.</description><identifier>ISSN: 0001-5970</identifier><identifier>EISSN: 1619-6937</identifier><identifier>DOI: 10.1007/s00707-009-0252-6</identifier><identifier>CODEN: AMHCAP</identifier><language>eng</language><publisher>Vienna: Springer Vienna</publisher><subject>Beams (structural) ; Bending ; Bending stresses ; Classical and Continuum Physics ; Control ; Deflection ; Dynamical Systems ; Engineering ; Engineering Thermodynamics ; Exact sciences and technology ; Foundations ; Fundamental areas of phenomenology (including applications) ; Heat and Mass Transfer ; Mathematical models ; Mechanical engineering ; Physics ; Shear deformation ; Solid Mechanics ; Static elasticity (thermoelasticity...) ; Stresses ; Structural and continuum mechanics ; Theoretical and Applied Mechanics ; Vibration ; Viscoelasticity</subject><ispartof>Acta mechanica, 2010-07, Vol.212 (3-4), p.233-252</ispartof><rights>Springer-Verlag 2009</rights><rights>2015 INIST-CNRS</rights><rights>COPYRIGHT 2010 Springer</rights><rights>Springer-Verlag 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c416t-4e300218aaad9f5196ffc59fe0f00d773254ec2d7725a185548728fdbb864e3b3</citedby><cites>FETCH-LOGICAL-c416t-4e300218aaad9f5196ffc59fe0f00d773254ec2d7725a185548728fdbb864e3b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00707-009-0252-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00707-009-0252-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22940284$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Zenkour, Ashraf M.</creatorcontrib><creatorcontrib>Allam, M. N. M.</creatorcontrib><creatorcontrib>Sobhy, M.</creatorcontrib><title>Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak’s elastic foundations</title><title>Acta mechanica</title><addtitle>Acta Mech</addtitle><description>The investigation of bending response of a simply supported functionally graded (FG) viscoelastic sandwich beam with elastic core resting on Pasternak’s elastic foundations is presented. The faces of the sandwich beam are made of FG viscoelastic material while the core is still elastic. Material properties are graded from the elastic interfaces through the viscoelastic faces of the beam. The elastic parameters of the faces are considered to be varying according to a power-law distribution in terms of the volume fraction of the constituent. The interaction between the beam and the foundations is included in the formulation. Numerical results for deflections and stresses obtained using the refined sinusoidal shear deformation beam theory are compared with those obtained using the simple sinusoidal shear deformation beam theory, higher- and first-order shear deformation beam theories. The effects due to material distribution, span-to-thickness ratio, foundation stiffness and time parameter on the deflection and stresses are investigated.</description><subject>Beams (structural)</subject><subject>Bending</subject><subject>Bending stresses</subject><subject>Classical and Continuum Physics</subject><subject>Control</subject><subject>Deflection</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering Thermodynamics</subject><subject>Exact sciences and technology</subject><subject>Foundations</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Heat and Mass Transfer</subject><subject>Mathematical models</subject><subject>Mechanical engineering</subject><subject>Physics</subject><subject>Shear deformation</subject><subject>Solid Mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Stresses</subject><subject>Structural and continuum mechanics</subject><subject>Theoretical and Applied Mechanics</subject><subject>Vibration</subject><subject>Viscoelasticity</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</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>eNp1kd9qFTEQxhdR8Fh9AO-CIF5tnWQ3m81lLbYKBb3Q6zAnm5ym7klqZk9L73wNX88ncQ6nVhAk5N_M7xtm-JrmpYRjCWDeEh9gWgDbgtKqHR41KzlI2w62M4-bFQDIVlsDT5tnRFf8U6aXq6a-C3lKeSMw43xHiUSJ4uxc3CTyJcxIS_KCME-3yV-KdcAtidu0XIo_OV9qIMF72VcpWXzmeKgZv_368ZMesFh2ecIllUzPmycRZwov7u-j5uvZ-y-nH9qLT-cfT08uWt_LYWn70AEoOSLiZKOWdojRaxsDRIDJmE7pPnjFL6VRjlr3o1FjnNbrcWDtujtq3hzqXtfyfccNui0PFeYZcyg7ckZ3Q68kWCZf_UNelR2PMJPrjB4MSNsxdHyANjgHl3IsS0XPawrb5EsOMXH8pNMs6KVWLJAHga-FqIbormvaYr1zEtzeNHcwzbFpbm-aG1jz-r4TJI9zrJh9ogehUrYHNfbMqQNHnMqbUP92_P_ivwHtqafx</recordid><startdate>20100701</startdate><enddate>20100701</enddate><creator>Zenkour, Ashraf M.</creator><creator>Allam, M. 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M. ; Sobhy, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c416t-4e300218aaad9f5196ffc59fe0f00d773254ec2d7725a185548728fdbb864e3b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Beams (structural)</topic><topic>Bending</topic><topic>Bending stresses</topic><topic>Classical and Continuum Physics</topic><topic>Control</topic><topic>Deflection</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Engineering Thermodynamics</topic><topic>Exact sciences and technology</topic><topic>Foundations</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Heat and Mass Transfer</topic><topic>Mathematical models</topic><topic>Mechanical engineering</topic><topic>Physics</topic><topic>Shear deformation</topic><topic>Solid Mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Stresses</topic><topic>Structural and continuum mechanics</topic><topic>Theoretical and Applied Mechanics</topic><topic>Vibration</topic><topic>Viscoelasticity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zenkour, Ashraf M.</creatorcontrib><creatorcontrib>Allam, M. 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N. M.</au><au>Sobhy, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak’s elastic foundations</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2010-07-01</date><risdate>2010</risdate><volume>212</volume><issue>3-4</issue><spage>233</spage><epage>252</epage><pages>233-252</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><coden>AMHCAP</coden><abstract>The investigation of bending response of a simply supported functionally graded (FG) viscoelastic sandwich beam with elastic core resting on Pasternak’s elastic foundations is presented. The faces of the sandwich beam are made of FG viscoelastic material while the core is still elastic. Material properties are graded from the elastic interfaces through the viscoelastic faces of the beam. The elastic parameters of the faces are considered to be varying according to a power-law distribution in terms of the volume fraction of the constituent. The interaction between the beam and the foundations is included in the formulation. Numerical results for deflections and stresses obtained using the refined sinusoidal shear deformation beam theory are compared with those obtained using the simple sinusoidal shear deformation beam theory, higher- and first-order shear deformation beam theories. The effects due to material distribution, span-to-thickness ratio, foundation stiffness and time parameter on the deflection and stresses are investigated.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-009-0252-6</doi><tpages>20</tpages></addata></record> |
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| subjects | Beams (structural) Bending Bending stresses Classical and Continuum Physics Control Deflection Dynamical Systems Engineering Engineering Thermodynamics Exact sciences and technology Foundations Fundamental areas of phenomenology (including applications) Heat and Mass Transfer Mathematical models Mechanical engineering Physics Shear deformation Solid Mechanics Static elasticity (thermoelasticity...) Stresses Structural and continuum mechanics Theoretical and Applied Mechanics Vibration Viscoelasticity |
| title | Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak’s elastic foundations |
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