Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation
Based on the linear superposition of the quadrilateral isoparametric membrane element and quadrilateral Mindlin plate element, basic vector formulas for the quadrilateral isoparametric shell element with the shear deformation is derived. Two different coordinate modes for updating the particle displ...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2022/4412788 |
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| _version_ | 1832561667818389504 |
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| author | Zhen Wang Yang Zhao Zhi Ding Huiping Tang |
| author_facet | Zhen Wang Yang Zhao Zhi Ding Huiping Tang |
| author_sort | Zhen Wang |
| collection | DOAJ |
| description | Based on the linear superposition of the quadrilateral isoparametric membrane element and quadrilateral Mindlin plate element, basic vector formulas for the quadrilateral isoparametric shell element with the shear deformation is derived. Two different coordinate modes for updating the particle displacement and the element node internal force are put forward. The uniform numerical solution for an irregular quadrilateral element is realized by the isoparametric integral scheme along the element plane. Then, the bilinear elastoplastic constitutive of material is introduced into the vector finite shell element, and the nonlinear effect of the material is realized based on the integral method along the thickness. On this basis, the nonlinear calculation and analysis program of the quadrilateral isoparametric shell element is developed. Numerical example results show that the static and dynamic analysis, large deformation and large rotation analysis, and buckling analysis can all be well performed for the shell structures by the developed program, which verifies the validity of theoretical derivation and computer program. |
| format | Article |
| id | doaj-art-d76c0c72082c4146903f0a085550cd8e |
| institution | Kabale University |
| issn | 1687-8094 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-d76c0c72082c4146903f0a085550cd8e2025-02-03T01:24:36ZengWileyAdvances in Civil Engineering1687-80942022-01-01202210.1155/2022/4412788Study on the Vector Quadrilateral Isoparametric Shell Element with Shear DeformationZhen Wang0Yang Zhao1Zhi Ding2Huiping Tang3Department of Civil EngineeringDepartment of Civil EngineeringDepartment of Civil EngineeringDepartment of Civil EngineeringBased on the linear superposition of the quadrilateral isoparametric membrane element and quadrilateral Mindlin plate element, basic vector formulas for the quadrilateral isoparametric shell element with the shear deformation is derived. Two different coordinate modes for updating the particle displacement and the element node internal force are put forward. The uniform numerical solution for an irregular quadrilateral element is realized by the isoparametric integral scheme along the element plane. Then, the bilinear elastoplastic constitutive of material is introduced into the vector finite shell element, and the nonlinear effect of the material is realized based on the integral method along the thickness. On this basis, the nonlinear calculation and analysis program of the quadrilateral isoparametric shell element is developed. Numerical example results show that the static and dynamic analysis, large deformation and large rotation analysis, and buckling analysis can all be well performed for the shell structures by the developed program, which verifies the validity of theoretical derivation and computer program.http://dx.doi.org/10.1155/2022/4412788 |
| spellingShingle | Zhen Wang Yang Zhao Zhi Ding Huiping Tang Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation Advances in Civil Engineering |
| title | Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation |
| title_full | Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation |
| title_fullStr | Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation |
| title_full_unstemmed | Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation |
| title_short | Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation |
| title_sort | study on the vector quadrilateral isoparametric shell element with shear deformation |
| url | http://dx.doi.org/10.1155/2022/4412788 |
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