An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams
In this paper, a 2-node beam element is developed based on Quasi-3D beam theory and mixed formulation for static bending of functionally graded (FG) beams. The transverse shear strains and stresses of the proposed beam element are parabolic distributions through the thickness of the beam and the tra...
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| Veröffentlicht in: | Materials 2019-07, Vol.12 (13), p.2198 |
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| creator | Nguyen, Hoang Nam Hong, Tran Thi Vinh, Pham Van Thom, Do Van |
| description | In this paper, a 2-node beam element is developed based on Quasi-3D beam theory and mixed formulation for static bending of functionally graded (FG) beams. The transverse shear strains and stresses of the proposed beam element are parabolic distributions through the thickness of the beam and the transverse shear stresses on the top and bottom surfaces of the beam vanish. The proposed beam element is free of shear-looking without selective or reduced integration. The material properties of the functionally graded beam are assumed to vary according to the power-law index of the volume fraction of the constituents through the thickness of the beam. The numerical results of this study are compared with published results to illustrate the accuracy and convenience rate of the new beam element. The influence of some parametrics on the bending behavior of FGM beams is investigated. |
| doi_str_mv | 10.3390/ma12132198 |
| format | Article |
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The transverse shear strains and stresses of the proposed beam element are parabolic distributions through the thickness of the beam and the transverse shear stresses on the top and bottom surfaces of the beam vanish. The proposed beam element is free of shear-looking without selective or reduced integration. The material properties of the functionally graded beam are assumed to vary according to the power-law index of the volume fraction of the constituents through the thickness of the beam. The numerical results of this study are compared with published results to illustrate the accuracy and convenience rate of the new beam element. The influence of some parametrics on the bending behavior of FGM beams is investigated.</description><identifier>ISSN: 1996-1944</identifier><identifier>EISSN: 1996-1944</identifier><identifier>DOI: 10.3390/ma12132198</identifier><identifier>PMID: 31288438</identifier><language>eng</language><publisher>Switzerland: MDPI AG</publisher><subject>Beam theory (structures) ; Beams (structural) ; Bending ; Boundary conditions ; Finite element analysis ; Finite element method ; Functionally gradient materials ; Material properties ; Nuclear power plants ; Shear strain ; Shear stress ; Stresses ; Thickness ; Vibration analysis</subject><ispartof>Materials, 2019-07, Vol.12 (13), p.2198</ispartof><rights>2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2019 by the authors. 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c406t-402ee471a6896ba5594cc126d6a6d754dcb88aed063b74e16bfb4060f21e4bd3</citedby><cites>FETCH-LOGICAL-c406t-402ee471a6896ba5594cc126d6a6d754dcb88aed063b74e16bfb4060f21e4bd3</cites><orcidid>0000-0002-2535-9461 ; 0000-0002-9949-0702</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC6651834/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC6651834/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,885,27922,27923,53789,53791</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/31288438$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Nguyen, Hoang Nam</creatorcontrib><creatorcontrib>Hong, Tran Thi</creatorcontrib><creatorcontrib>Vinh, Pham Van</creatorcontrib><creatorcontrib>Thom, Do Van</creatorcontrib><title>An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams</title><title>Materials</title><addtitle>Materials (Basel)</addtitle><description>In this paper, a 2-node beam element is developed based on Quasi-3D beam theory and mixed formulation for static bending of functionally graded (FG) beams. 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| subjects | Beam theory (structures) Beams (structural) Bending Boundary conditions Finite element analysis Finite element method Functionally gradient materials Material properties Nuclear power plants Shear strain Shear stress Stresses Thickness Vibration analysis |
| title | An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams |
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