Large displacements of FGSW beams in thermal environment using a finite element formulation
The large displacements of functionally graded sandwich (FGSW) beams in thermal environment are studied using a finite element formulation. The beams are composed of three layers, a homogeneous core and two functionally graded face sheets with volume fraction of constituents following a power grad...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2020-03-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/14706 |
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| author | Bui Thi Thu Hoai Nguyen Dinh Kien Tran Thi Thu Huong Le Thi Ngoc Anh |
| author_facet | Bui Thi Thu Hoai Nguyen Dinh Kien Tran Thi Thu Huong Le Thi Ngoc Anh |
| author_sort | Bui Thi Thu Hoai |
| collection | DOAJ |
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The large displacements of functionally graded sandwich (FGSW) beams in thermal environment are studied using a finite element formulation. The beams are composed of three layers, a homogeneous core and two functionally graded face sheets with volume fraction of constituents following a power gradation law. The material properties of the beams are considered to be temperature-dependent. Based on Antman beam model and the total Lagrange formulation, a two-node nonlinear beam element taking the effect of temperature rise into account is formulated and employed in the study. The element with explicit expressions for the internal force vector and tangent stiffness matrix is derived using linear interpolations and reduced integration technique to avoid the shear locking. Newton-Raphson based iterative algorithm is employed in combination with the arc-length control method to compute the large displacement response of a cantilever FGSW beam subjected to end forces. The accuracy of the formulated element is confirmed through a comparison study. The effects of the material inhomogeneity, temperature rise and layer thickness ratio on the large deflection response of the beam are examined and highlighted.
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| format | Article |
| id | doaj-art-a29a5655dfca409cae25c7eef82dbbe2 |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2020-03-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-a29a5655dfca409cae25c7eef82dbbe22025-08-20T03:04:44ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822020-03-0142110.15625/0866-7136/14706Large displacements of FGSW beams in thermal environment using a finite element formulationBui Thi Thu Hoai0Nguyen Dinh Kien1Tran Thi Thu Huong2Le Thi Ngoc Anh3Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi, VietnamInstitute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi, VietnamPhenikaa University, Hanoi, VietnamInstitute of Applied Information and Mechanics, Ho Chi Minh city, Vietnam The large displacements of functionally graded sandwich (FGSW) beams in thermal environment are studied using a finite element formulation. The beams are composed of three layers, a homogeneous core and two functionally graded face sheets with volume fraction of constituents following a power gradation law. The material properties of the beams are considered to be temperature-dependent. Based on Antman beam model and the total Lagrange formulation, a two-node nonlinear beam element taking the effect of temperature rise into account is formulated and employed in the study. The element with explicit expressions for the internal force vector and tangent stiffness matrix is derived using linear interpolations and reduced integration technique to avoid the shear locking. Newton-Raphson based iterative algorithm is employed in combination with the arc-length control method to compute the large displacement response of a cantilever FGSW beam subjected to end forces. The accuracy of the formulated element is confirmed through a comparison study. The effects of the material inhomogeneity, temperature rise and layer thickness ratio on the large deflection response of the beam are examined and highlighted. https://vjs.ac.vn/index.php/vjmech/article/view/14706FGSW beamtotal Lagrange formulationreduced integrationthermal environmentlarge deflection analysis |
| spellingShingle | Bui Thi Thu Hoai Nguyen Dinh Kien Tran Thi Thu Huong Le Thi Ngoc Anh Large displacements of FGSW beams in thermal environment using a finite element formulation Vietnam Journal of Mechanics FGSW beam total Lagrange formulation reduced integration thermal environment large deflection analysis |
| title | Large displacements of FGSW beams in thermal environment using a finite element formulation |
| title_full | Large displacements of FGSW beams in thermal environment using a finite element formulation |
| title_fullStr | Large displacements of FGSW beams in thermal environment using a finite element formulation |
| title_full_unstemmed | Large displacements of FGSW beams in thermal environment using a finite element formulation |
| title_short | Large displacements of FGSW beams in thermal environment using a finite element formulation |
| title_sort | large displacements of fgsw beams in thermal environment using a finite element formulation |
| topic | FGSW beam total Lagrange formulation reduced integration thermal environment large deflection analysis |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/14706 |
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