A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams
A refined high-order global-local laminated/sandwich beam theory is developed that satisfies all the kinematic and stress continuity conditions at the layer interfaces and considers effects of the transverse normal stress and transverse flexibility, e.g. for beams with soft cores or drastic material...
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| Veröffentlicht in: | Acta mechanica 2011-03, Vol.217 (3-4), p.219-242 |
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| creator | Lezgy-Nazargah, M. Shariyat, M. Beheshti-Aval, S. B. |
| description | A refined high-order global-local laminated/sandwich beam theory is developed that satisfies all the kinematic and stress continuity conditions at the layer interfaces and considers effects of the transverse normal stress and transverse flexibility, e.g. for beams with soft cores or drastic material properties changes. The global displacement components, described by polynomial or combinations of polynomial and exponential expressions, are superposed on local ones chosen based on the layerwise or discrete-layer concepts. Furthermore, the non-zero conditions of the shear and normal tractions of the upper and lower surfaces of the beam may also be enforced. In the present C
1
-continuous shear locking-free finite element model, the number of unknowns is independent of the number of layers. Comparison of present bending and vibration results for thin and thick beams with results of the three-dimensional theory of elasticity reveals efficiency of the present method. Moreover, the proposed model is computationally economic and has a high convergence rate. |
| doi_str_mv | 10.1007/s00707-010-0391-9 |
| format | Article |
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1
-continuous shear locking-free finite element model, the number of unknowns is independent of the number of layers. Comparison of present bending and vibration results for thin and thick beams with results of the three-dimensional theory of elasticity reveals efficiency of the present method. Moreover, the proposed model is computationally economic and has a high convergence rate.</description><identifier>ISSN: 0001-5970</identifier><identifier>EISSN: 1619-6937</identifier><identifier>DOI: 10.1007/s00707-010-0391-9</identifier><identifier>CODEN: AMHCAP</identifier><language>eng</language><publisher>Vienna: Springer Vienna</publisher><subject>Beams (structural) ; Bending ; Classical and Continuum Physics ; Composite materials ; Control ; Dynamical Systems ; Engineering ; Engineering Thermodynamics ; Exact sciences and technology ; Finite element analysis ; Finite element method ; Fundamental areas of phenomenology (including applications) ; Heat and Mass Transfer ; Kinematics ; Laminates ; Mathematical analysis ; Mathematical models ; Physics ; Shear ; Solid Mechanics ; Static elasticity (thermoelasticity...) ; Stresses ; Structural and continuum mechanics ; Theoretical and Applied Mechanics ; Vibration ; Vibration analysis ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><ispartof>Acta mechanica, 2011-03, Vol.217 (3-4), p.219-242</ispartof><rights>Springer-Verlag 2010</rights><rights>2015 INIST-CNRS</rights><rights>Springer-Verlag 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c378t-5941466f6ea187795498dc933277961277135417bb5e4309925ff156cfd466ed3</citedby><cites>FETCH-LOGICAL-c378t-5941466f6ea187795498dc933277961277135417bb5e4309925ff156cfd466ed3</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/s00707-010-0391-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00707-010-0391-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23890683$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Lezgy-Nazargah, M.</creatorcontrib><creatorcontrib>Shariyat, M.</creatorcontrib><creatorcontrib>Beheshti-Aval, S. B.</creatorcontrib><title>A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams</title><title>Acta mechanica</title><addtitle>Acta Mech</addtitle><description>A refined high-order global-local laminated/sandwich beam theory is developed that satisfies all the kinematic and stress continuity conditions at the layer interfaces and considers effects of the transverse normal stress and transverse flexibility, e.g. for beams with soft cores or drastic material properties changes. The global displacement components, described by polynomial or combinations of polynomial and exponential expressions, are superposed on local ones chosen based on the layerwise or discrete-layer concepts. Furthermore, the non-zero conditions of the shear and normal tractions of the upper and lower surfaces of the beam may also be enforced. In the present C
1
-continuous shear locking-free finite element model, the number of unknowns is independent of the number of layers. Comparison of present bending and vibration results for thin and thick beams with results of the three-dimensional theory of elasticity reveals efficiency of the present method. Moreover, the proposed model is computationally economic and has a high convergence rate.</description><subject>Beams (structural)</subject><subject>Bending</subject><subject>Classical and Continuum Physics</subject><subject>Composite materials</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering Thermodynamics</subject><subject>Exact sciences and technology</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Heat and Mass Transfer</subject><subject>Kinematics</subject><subject>Laminates</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Physics</subject><subject>Shear</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>Vibration analysis</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</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>eNp1kUGLFDEQhYO44Di7P8BbEAQv0aTTSTrHZXFVWPCi55DursxkSSdj0qPMv98aZlEQvCQUee9LVT1C3gj-QXBuPjY8uGFccMalFcy-IBuhhWXaSvOSbDjngilr-CvyurVHrDrTiw35fUsrhJhhpvu427NSZ6h0l8roE0tl8omueyj1REOpFIVxBQoJFsgrHSHPMe-ozzP9Fcfq11gyVj6dGjRaAk1-idmvSJ_Kcijt7B7BL-2aXAWfGtw831vy4_7T97sv7OHb5693tw9skmZYseNe9FoHDV4MxljV22GerJQdFhpnMEKqXphxVNBLbm2nQhBKT2FGG8xyS95fuIdafh6hrW6JbYKUfIZybE5oJGirpEHp23-kj-VYcZjmBtVJJRX-uyXiIppqaQ1X5w41Lr6enODunIS7JOEwCXdOwln0vHsG-4YLDdXnKbY_xk4OluvhzO4uuoZPeQf1bwP_hz8BfFOXrw</recordid><startdate>20110301</startdate><enddate>20110301</enddate><creator>Lezgy-Nazargah, M.</creator><creator>Shariyat, M.</creator><creator>Beheshti-Aval, S. 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B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c378t-5941466f6ea187795498dc933277961277135417bb5e4309925ff156cfd466ed3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Beams (structural)</topic><topic>Bending</topic><topic>Classical and Continuum Physics</topic><topic>Composite materials</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Engineering Thermodynamics</topic><topic>Exact sciences and technology</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Heat and Mass Transfer</topic><topic>Kinematics</topic><topic>Laminates</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Physics</topic><topic>Shear</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>Vibration analysis</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lezgy-Nazargah, M.</creatorcontrib><creatorcontrib>Shariyat, M.</creatorcontrib><creatorcontrib>Beheshti-Aval, S. 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B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2011-03-01</date><risdate>2011</risdate><volume>217</volume><issue>3-4</issue><spage>219</spage><epage>242</epage><pages>219-242</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><coden>AMHCAP</coden><abstract>A refined high-order global-local laminated/sandwich beam theory is developed that satisfies all the kinematic and stress continuity conditions at the layer interfaces and considers effects of the transverse normal stress and transverse flexibility, e.g. for beams with soft cores or drastic material properties changes. The global displacement components, described by polynomial or combinations of polynomial and exponential expressions, are superposed on local ones chosen based on the layerwise or discrete-layer concepts. Furthermore, the non-zero conditions of the shear and normal tractions of the upper and lower surfaces of the beam may also be enforced. In the present C
1
-continuous shear locking-free finite element model, the number of unknowns is independent of the number of layers. Comparison of present bending and vibration results for thin and thick beams with results of the three-dimensional theory of elasticity reveals efficiency of the present method. Moreover, the proposed model is computationally economic and has a high convergence rate.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-010-0391-9</doi><tpages>24</tpages></addata></record> |
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| subjects | Beams (structural) Bending Classical and Continuum Physics Composite materials Control Dynamical Systems Engineering Engineering Thermodynamics Exact sciences and technology Finite element analysis Finite element method Fundamental areas of phenomenology (including applications) Heat and Mass Transfer Kinematics Laminates Mathematical analysis Mathematical models Physics Shear Solid Mechanics Static elasticity (thermoelasticity...) Stresses Structural and continuum mechanics Theoretical and Applied Mechanics Vibration Vibration analysis Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | A refined high-order global-local theory for finite element bending and vibration analyses of laminated composite beams |
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