Bending analysis of P-FGM plates resting on nonuniform elastic foundations and subjected to thermo-mechanical loading
In a thermal environment, using the formulations of the refined shear deformation theory, the flexion of the functionally graduated rectangular plates (P-FGM) based on nonuniform elastic foundations is presented. The layers resting on nonuniform elastic foundation are subjected to symmetrical distri...
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| Veröffentlicht in: | Cogent engineering 2022-12, Vol.9 (1) |
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| description | In a thermal environment, using the formulations of the refined shear deformation theory, the flexion of the functionally graduated rectangular plates (P-FGM) based on nonuniform elastic foundations is presented. The layers resting on nonuniform elastic foundation are subjected to symmetrical distributed loads. Nonlinear variations in the in-plane displacements through the thickness of the plate are based on the choice of the displacement field of the present theory. Without including shear correction factor, the present theory satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate. The present refined shear deformation theory contains only four unknowns. According to a power law of the volume fraction, the properties of the materials of this plate vary continuously across the thickness. Comparisons with other results have been made nonuniform foundation. The effects of the index and the dimensions of the P-FGM plate and of the elastic foundation parameters on the thermomechanical behavior are studied. Numerical results show accuracy comparable to other theories in the literature. |
| doi_str_mv | 10.1080/23311916.2022.2108576 |
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The layers resting on nonuniform elastic foundation are subjected to symmetrical distributed loads. Nonlinear variations in the in-plane displacements through the thickness of the plate are based on the choice of the displacement field of the present theory. Without including shear correction factor, the present theory satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate. The present refined shear deformation theory contains only four unknowns. According to a power law of the volume fraction, the properties of the materials of this plate vary continuously across the thickness. Comparisons with other results have been made nonuniform foundation. The effects of the index and the dimensions of the P-FGM plate and of the elastic foundation parameters on the thermomechanical behavior are studied. Numerical results show accuracy comparable to other theories in the literature.</description><identifier>ISSN: 2331-1916</identifier><identifier>EISSN: 2331-1916</identifier><identifier>DOI: 10.1080/23311916.2022.2108576</identifier><language>eng</language><publisher>Abingdon: Cogent</publisher><subject>bending ; Deformation ; Elastic foundations ; Functionally gradient materials ; Load ; Mechanical engineering ; nonuniform elastic foundation ; P-FG plates ; Rectangular plates ; refined plate theory ; Shear deformation ; Shear stress ; Stress concentration ; Temperature ; Thermal environments ; thermo-mechanical loading ; Thermomechanical properties ; Thickness ; Transverse shear</subject><ispartof>Cogent engineering, 2022-12, Vol.9 (1)</ispartof><rights>2022 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. 2022</rights><rights>2022 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). 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The layers resting on nonuniform elastic foundation are subjected to symmetrical distributed loads. Nonlinear variations in the in-plane displacements through the thickness of the plate are based on the choice of the displacement field of the present theory. Without including shear correction factor, the present theory satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate. The present refined shear deformation theory contains only four unknowns. According to a power law of the volume fraction, the properties of the materials of this plate vary continuously across the thickness. Comparisons with other results have been made nonuniform foundation. The effects of the index and the dimensions of the P-FGM plate and of the elastic foundation parameters on the thermomechanical behavior are studied. 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Hamza Madjid, Berrabah</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-c4d232c9d4abba74095fa81bbbb056dbe2c5f276e81333ec3852b2fd120dbf2d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>bending</topic><topic>Deformation</topic><topic>Elastic foundations</topic><topic>Functionally gradient materials</topic><topic>Load</topic><topic>Mechanical engineering</topic><topic>nonuniform elastic foundation</topic><topic>P-FG plates</topic><topic>Rectangular plates</topic><topic>refined plate theory</topic><topic>Shear deformation</topic><topic>Shear stress</topic><topic>Stress concentration</topic><topic>Temperature</topic><topic>Thermal environments</topic><topic>thermo-mechanical loading</topic><topic>Thermomechanical properties</topic><topic>Thickness</topic><topic>Transverse shear</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bouderba, Bachir</creatorcontrib><creatorcontrib>Hamza Madjid, Berrabah</creatorcontrib><collection>Taylor & Francis Open Access</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</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>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</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>DOAJ Directory of Open Access Journals</collection><jtitle>Cogent engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bouderba, Bachir</au><au>Hamza Madjid, Berrabah</au><au>Pham, D T</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bending analysis of P-FGM plates resting on nonuniform elastic foundations and subjected to thermo-mechanical loading</atitle><jtitle>Cogent engineering</jtitle><date>2022-12-31</date><risdate>2022</risdate><volume>9</volume><issue>1</issue><issn>2331-1916</issn><eissn>2331-1916</eissn><abstract>In a thermal environment, using the formulations of the refined shear deformation theory, the flexion of the functionally graduated rectangular plates (P-FGM) based on nonuniform elastic foundations is presented. The layers resting on nonuniform elastic foundation are subjected to symmetrical distributed loads. Nonlinear variations in the in-plane displacements through the thickness of the plate are based on the choice of the displacement field of the present theory. Without including shear correction factor, the present theory satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate. The present refined shear deformation theory contains only four unknowns. According to a power law of the volume fraction, the properties of the materials of this plate vary continuously across the thickness. Comparisons with other results have been made nonuniform foundation. The effects of the index and the dimensions of the P-FGM plate and of the elastic foundation parameters on the thermomechanical behavior are studied. Numerical results show accuracy comparable to other theories in the literature.</abstract><cop>Abingdon</cop><pub>Cogent</pub><doi>10.1080/23311916.2022.2108576</doi><oa>free_for_read</oa></addata></record> |
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| subjects | bending Deformation Elastic foundations Functionally gradient materials Load Mechanical engineering nonuniform elastic foundation P-FG plates Rectangular plates refined plate theory Shear deformation Shear stress Stress concentration Temperature Thermal environments thermo-mechanical loading Thermomechanical properties Thickness Transverse shear |
| title | Bending analysis of P-FGM plates resting on nonuniform elastic foundations and subjected to thermo-mechanical loading |
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