Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive
In this work, analytical solution of simply supported sandwich arches considering permeation effect of adhesives is presented. The permeation layer is described by the functionally graded material, exponentially graded in the radial direction. The stresses and deformations of each layer are based on...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Polymer Technology |
| Online Access: | http://dx.doi.org/10.1155/2020/7358930 |
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| author | Ruili Huo Yichen Liu Peng Wu Hai Fang Weiqing Liu Ding Zhou |
| author_facet | Ruili Huo Yichen Liu Peng Wu Hai Fang Weiqing Liu Ding Zhou |
| author_sort | Ruili Huo |
| collection | DOAJ |
| description | In this work, analytical solution of simply supported sandwich arches considering permeation effect of adhesives is presented. The permeation layer is described by the functionally graded material, exponentially graded in the radial direction. The stresses and deformations of each layer are based on the two-dimensional (2D) elasticity theory in the polar coordinate. The governing equations of the arch are solved by the layer-wise method, which turns the differential equations with variable coefficients into constant coefficients. The solution can be obtained efficiently by means of the recursive matrix method, especially for the arch with many layers. The present solution agrees well with the finite element solution with a fine mesh, while the finite element method is time consuming in mesh division and calculation. The one-dimensional (1D) solution based on the Euler–Bernoulli theory is close to the present one; however, the error increases as the arch becomes thick. The effect of permeation layer thickness on the stresses is studied. It is indicated that the stress distributions tend to be smooth along the radial direction as the permeation layer thickness increases. |
| format | Article |
| id | doaj-art-957ba3dbf7424ae683d1b55b2b187e19 |
| institution | Kabale University |
| issn | 0730-6679 1098-2329 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Polymer Technology |
| spelling | doaj-art-957ba3dbf7424ae683d1b55b2b187e192025-02-03T01:25:26ZengWileyAdvances in Polymer Technology0730-66791098-23292020-01-01202010.1155/2020/73589307358930Elasticity Solutions for Sandwich Arches considering Permeation Effect of AdhesiveRuili Huo0Yichen Liu1Peng Wu2Hai Fang3Weiqing Liu4Ding Zhou5College of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaIn this work, analytical solution of simply supported sandwich arches considering permeation effect of adhesives is presented. The permeation layer is described by the functionally graded material, exponentially graded in the radial direction. The stresses and deformations of each layer are based on the two-dimensional (2D) elasticity theory in the polar coordinate. The governing equations of the arch are solved by the layer-wise method, which turns the differential equations with variable coefficients into constant coefficients. The solution can be obtained efficiently by means of the recursive matrix method, especially for the arch with many layers. The present solution agrees well with the finite element solution with a fine mesh, while the finite element method is time consuming in mesh division and calculation. The one-dimensional (1D) solution based on the Euler–Bernoulli theory is close to the present one; however, the error increases as the arch becomes thick. The effect of permeation layer thickness on the stresses is studied. It is indicated that the stress distributions tend to be smooth along the radial direction as the permeation layer thickness increases.http://dx.doi.org/10.1155/2020/7358930 |
| spellingShingle | Ruili Huo Yichen Liu Peng Wu Hai Fang Weiqing Liu Ding Zhou Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive Advances in Polymer Technology |
| title | Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive |
| title_full | Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive |
| title_fullStr | Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive |
| title_full_unstemmed | Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive |
| title_short | Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive |
| title_sort | elasticity solutions for sandwich arches considering permeation effect of adhesive |
| url | http://dx.doi.org/10.1155/2020/7358930 |
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