Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory
In this work, a finite element model to perform the thermal–structural analysis of beams made of functionally graded material (FGM) is presented. The formulation is based on the third-order shear deformation theory. The constituents of the FGM are considered to vary only in the thickness direction,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/28/4/84 |
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| author | Carlos Enrique Valencia Murillo Miguel Ernesto Gutierrez Rivera Luis David Celaya Garcia |
| author_facet | Carlos Enrique Valencia Murillo Miguel Ernesto Gutierrez Rivera Luis David Celaya Garcia |
| author_sort | Carlos Enrique Valencia Murillo |
| collection | DOAJ |
| description | In this work, a finite element model to perform the thermal–structural analysis of beams made of functionally graded material (FGM) is presented. The formulation is based on the third-order shear deformation theory. The constituents of the FGM are considered to vary only in the thickness direction, and the effective material properties are evaluated by means of the rule of mixtures. The volume distribution of the top constituent is modeled using the power law form. A comparison of the present finite element model with the numerical results available in the literature reveals that they are in good agreement. In addition, a routine to study functionally graded plane models in a commercial finite element code is used to verify the performance of the proposed model. In the present work, displacements for different values of the power law exponent and surface temperatures are presented. Furthermore, the normal stress variation along the thickness is shown for several power law exponents of functionally graded beams subjected to thermal and mechanical loads. |
| first_indexed | 2024-03-10T23:45:47Z |
| format | Article |
| id | doaj.art-992b59cd5a1246f0b754f3a91d6a7dfa |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-10T23:45:47Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-992b59cd5a1246f0b754f3a91d6a7dfa2023-11-19T02:04:48ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472023-07-012848410.3390/mca28040084Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam TheoryCarlos Enrique Valencia Murillo0Miguel Ernesto Gutierrez Rivera1Luis David Celaya Garcia2Department of Mechanical Engineering, University of Guanajuato, Salamanca 36885, MexicoDepartment of Mechanical Engineering, University of Guanajuato, Salamanca 36885, MexicoDepartment of Mechanical Engineering, University of Guanajuato, Salamanca 36885, MexicoIn this work, a finite element model to perform the thermal–structural analysis of beams made of functionally graded material (FGM) is presented. The formulation is based on the third-order shear deformation theory. The constituents of the FGM are considered to vary only in the thickness direction, and the effective material properties are evaluated by means of the rule of mixtures. The volume distribution of the top constituent is modeled using the power law form. A comparison of the present finite element model with the numerical results available in the literature reveals that they are in good agreement. In addition, a routine to study functionally graded plane models in a commercial finite element code is used to verify the performance of the proposed model. In the present work, displacements for different values of the power law exponent and surface temperatures are presented. Furthermore, the normal stress variation along the thickness is shown for several power law exponents of functionally graded beams subjected to thermal and mechanical loads.https://www.mdpi.com/2297-8747/28/4/84beamthermal analysisthird-order shear deformation theoryfunctionally graded materialfinite element model |
| spellingShingle | Carlos Enrique Valencia Murillo Miguel Ernesto Gutierrez Rivera Luis David Celaya Garcia Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory Mathematical and Computational Applications beam thermal analysis third-order shear deformation theory functionally graded material finite element model |
| title | Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory |
| title_full | Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory |
| title_fullStr | Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory |
| title_full_unstemmed | Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory |
| title_short | Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory |
| title_sort | thermal structural linear static analysis of functionally graded beams using reddy beam theory |
| topic | beam thermal analysis third-order shear deformation theory functionally graded material finite element model |
| url | https://www.mdpi.com/2297-8747/28/4/84 |
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