New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates
In the present study, new nonpolynomial shear-deformation theories are proposed and implemented for structural responses of laminated-composite and sandwich plates. The theories assume nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the...
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| Veröffentlicht in: | AIAA journal 2013-08, Vol.51 (8), p.1861-1871 |
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| creator | Grover, Neeraj Singh, B. N Maiti, D. K |
| description | In the present study, new nonpolynomial shear-deformation theories are proposed and implemented for structural responses of laminated-composite and sandwich plates. The theories assume nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the top and bottom layers of the laminates. The governing differential equations are derived for a generalized shear-deformation theory by implementing the dynamic version of principle of virtual work and calculus of variations. A generalized closed-form solution methodology of the Navier type is implemented to ensure the validity and efficiency of the present theories for bending, buckling, and free-vibration responses of the laminated-composite and sandwich plates. It is observed that the proposed formulation in conjunction with the solution methodology is capable of handling all existing five-degree-of-freedom-based shear-deformation theories. The comparison of results also shows that the adequate choice of shear deformation leads to an accurate prediction of structural responses. The influence of shear deformation on the type of analysis performed is also observed in this study. The theories are also capable of an efficient prediction of the responses of structures at a similar computational cost as that of other equivalent single-layer theories. |
| doi_str_mv | 10.2514/1.J052399 |
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N ; Maiti, D. K</creator><creatorcontrib>Grover, Neeraj ; Singh, B. N ; Maiti, D. K</creatorcontrib><description>In the present study, new nonpolynomial shear-deformation theories are proposed and implemented for structural responses of laminated-composite and sandwich plates. The theories assume nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the top and bottom layers of the laminates. The governing differential equations are derived for a generalized shear-deformation theory by implementing the dynamic version of principle of virtual work and calculus of variations. A generalized closed-form solution methodology of the Navier type is implemented to ensure the validity and efficiency of the present theories for bending, buckling, and free-vibration responses of the laminated-composite and sandwich plates. It is observed that the proposed formulation in conjunction with the solution methodology is capable of handling all existing five-degree-of-freedom-based shear-deformation theories. The comparison of results also shows that the adequate choice of shear deformation leads to an accurate prediction of structural responses. The influence of shear deformation on the type of analysis performed is also observed in this study. The theories are also capable of an efficient prediction of the responses of structures at a similar computational cost as that of other equivalent single-layer theories.</description><identifier>ISSN: 0001-1452</identifier><identifier>EISSN: 1533-385X</identifier><identifier>DOI: 10.2514/1.J052399</identifier><identifier>CODEN: AIAJAH</identifier><language>eng</language><publisher>Reston, VA: American Institute of Aeronautics and Astronautics</publisher><subject>Boundary conditions ; Buckling ; Calculus of variations ; Computational efficiency ; Deformation ; Differential equations ; Exact sciences and technology ; Free boundaries ; Fundamental areas of phenomenology (including applications) ; Laminar composites ; Laminates ; Mathematical analysis ; Mathematical models ; Methodology ; Physics ; Plates ; Plates (structural members) ; Shear deformation ; Shear stress ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Stress concentration ; Structural and continuum mechanics ; Structural behavior ; Studies ; Vibration response ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><ispartof>AIAA journal, 2013-08, Vol.51 (8), p.1861-1871</ispartof><rights>Copyright © 2013 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923; include the code and $10.00 in correspondence with the CCC.</rights><rights>2014 INIST-CNRS</rights><rights>Copyright © 2013 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923; include the code 1533-385X/13 and $10.00 in correspondence with the CCC.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a379t-62375325efe695e9fe8f90620760835960c247594e465b0777ff6bbfa996476a3</citedby><cites>FETCH-LOGICAL-a379t-62375325efe695e9fe8f90620760835960c247594e465b0777ff6bbfa996476a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>309,310,314,780,784,789,790,23930,23931,25140,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=27569497$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Grover, Neeraj</creatorcontrib><creatorcontrib>Singh, B. N</creatorcontrib><creatorcontrib>Maiti, D. K</creatorcontrib><title>New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates</title><title>AIAA journal</title><description>In the present study, new nonpolynomial shear-deformation theories are proposed and implemented for structural responses of laminated-composite and sandwich plates. The theories assume nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the top and bottom layers of the laminates. The governing differential equations are derived for a generalized shear-deformation theory by implementing the dynamic version of principle of virtual work and calculus of variations. A generalized closed-form solution methodology of the Navier type is implemented to ensure the validity and efficiency of the present theories for bending, buckling, and free-vibration responses of the laminated-composite and sandwich plates. It is observed that the proposed formulation in conjunction with the solution methodology is capable of handling all existing five-degree-of-freedom-based shear-deformation theories. The comparison of results also shows that the adequate choice of shear deformation leads to an accurate prediction of structural responses. The influence of shear deformation on the type of analysis performed is also observed in this study. The theories are also capable of an efficient prediction of the responses of structures at a similar computational cost as that of other equivalent single-layer theories.</description><subject>Boundary conditions</subject><subject>Buckling</subject><subject>Calculus of variations</subject><subject>Computational efficiency</subject><subject>Deformation</subject><subject>Differential equations</subject><subject>Exact sciences and technology</subject><subject>Free boundaries</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Laminar composites</subject><subject>Laminates</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Methodology</subject><subject>Physics</subject><subject>Plates</subject><subject>Plates (structural members)</subject><subject>Shear deformation</subject><subject>Shear stress</subject><subject>Solid mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Stress concentration</subject><subject>Structural and continuum mechanics</subject><subject>Structural behavior</subject><subject>Studies</subject><subject>Vibration response</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0001-1452</issn><issn>1533-385X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kU1rHDEMhk1pINtND_kHhtKSHibxt8fHZvuVsKSBTaC3QTuRWYeZ8caeaci_j8MupbTQi4SkR6-ERMgxZ6dCc3XGTy-ZFtK5V2TGtZSVrPXP12TGGOMVV1ockjc535dI2JrPSLzCR3oVh23snobYB-joaoOQqs_oY-phDHGgNxuMKWCmJUVXY5racUqFPMcN_AolFz1dQh8GGPGuWsR-G3MYkcJwR1fFPIZ2Q6-7Us1H5MBDl_Ht3s_J7dcvN4vv1fLHt4vFp2UF0rqxMkJaLYVGj8ZpdB5r75gRzBpWS-0Ma4Wy2ilURq-ZtdZ7s157cM4oa0DOyclOd5viw4R5bPqQW-w6GDBOueFKuNroF7U5efcXeh-nNJTtGqEcl1IZw_5H8XLusrWSqlAfd1SbYs4JfbNNoYf01HDWvDyo4c3-QYV9v1eE3ELnEwxtyL8bhNXGKWcL92HHQQD4Y-o_gs_PLJmB</recordid><startdate>20130801</startdate><enddate>20130801</enddate><creator>Grover, Neeraj</creator><creator>Singh, B. N</creator><creator>Maiti, D. K</creator><general>American Institute of Aeronautics and Astronautics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>L7M</scope><scope>7SR</scope><scope>JG9</scope></search><sort><creationdate>20130801</creationdate><title>New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates</title><author>Grover, Neeraj ; Singh, B. N ; Maiti, D. K</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a379t-62375325efe695e9fe8f90620760835960c247594e465b0777ff6bbfa996476a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Boundary conditions</topic><topic>Buckling</topic><topic>Calculus of variations</topic><topic>Computational efficiency</topic><topic>Deformation</topic><topic>Differential equations</topic><topic>Exact sciences and technology</topic><topic>Free boundaries</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Laminar composites</topic><topic>Laminates</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Methodology</topic><topic>Physics</topic><topic>Plates</topic><topic>Plates (structural members)</topic><topic>Shear deformation</topic><topic>Shear stress</topic><topic>Solid mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Stress concentration</topic><topic>Structural and continuum mechanics</topic><topic>Structural behavior</topic><topic>Studies</topic><topic>Vibration response</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grover, Neeraj</creatorcontrib><creatorcontrib>Singh, B. N</creatorcontrib><creatorcontrib>Maiti, D. K</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Engineered Materials Abstracts</collection><collection>Materials Research Database</collection><jtitle>AIAA journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grover, Neeraj</au><au>Singh, B. N</au><au>Maiti, D. K</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates</atitle><jtitle>AIAA journal</jtitle><date>2013-08-01</date><risdate>2013</risdate><volume>51</volume><issue>8</issue><spage>1861</spage><epage>1871</epage><pages>1861-1871</pages><issn>0001-1452</issn><eissn>1533-385X</eissn><coden>AIAJAH</coden><abstract>In the present study, new nonpolynomial shear-deformation theories are proposed and implemented for structural responses of laminated-composite and sandwich plates. The theories assume nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the top and bottom layers of the laminates. The governing differential equations are derived for a generalized shear-deformation theory by implementing the dynamic version of principle of virtual work and calculus of variations. A generalized closed-form solution methodology of the Navier type is implemented to ensure the validity and efficiency of the present theories for bending, buckling, and free-vibration responses of the laminated-composite and sandwich plates. It is observed that the proposed formulation in conjunction with the solution methodology is capable of handling all existing five-degree-of-freedom-based shear-deformation theories. The comparison of results also shows that the adequate choice of shear deformation leads to an accurate prediction of structural responses. The influence of shear deformation on the type of analysis performed is also observed in this study. The theories are also capable of an efficient prediction of the responses of structures at a similar computational cost as that of other equivalent single-layer theories.</abstract><cop>Reston, VA</cop><pub>American Institute of Aeronautics and Astronautics</pub><doi>10.2514/1.J052399</doi><tpages>11</tpages></addata></record> |
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| subjects | Boundary conditions Buckling Calculus of variations Computational efficiency Deformation Differential equations Exact sciences and technology Free boundaries Fundamental areas of phenomenology (including applications) Laminar composites Laminates Mathematical analysis Mathematical models Methodology Physics Plates Plates (structural members) Shear deformation Shear stress Solid mechanics Static elasticity (thermoelasticity...) Stress concentration Structural and continuum mechanics Structural behavior Studies Vibration response Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | New Nonpolynomial Shear-Deformation Theories for Structural Behavior of Laminated-Composite and Sandwich Plates |
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