The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures
When hydrophilic materials (such as natural fiber, epoxy resin or concrete) compose sandwich structures, the moisture absorption from hydrothermal environments may significantly affect their mechanical properties. Although some experimental works were carried out, few mathematical efforts have been...
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| Format: | Article |
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MDPI AG
2022-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/15/2669 |
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| author | Hang Yu Lu Yao Yan Ma Zhaoyuan Hou Jiahui Tang Yuming Wang Yang Ni |
| author_facet | Hang Yu Lu Yao Yan Ma Zhaoyuan Hou Jiahui Tang Yuming Wang Yang Ni |
| author_sort | Hang Yu |
| collection | DOAJ |
| description | When hydrophilic materials (such as natural fiber, epoxy resin or concrete) compose sandwich structures, the moisture absorption from hydrothermal environments may significantly affect their mechanical properties. Although some experimental works were carried out, few mathematical efforts have been made to describe the moisture diffusion of multiphase symmetrical sandwich structures thus far. In this paper, the moisture diffusion equation was developed to effectively predict the moisture diffusion behavior of multiphase symmetrical sandwich structures as the function of aging time. Both finite element analysis (FEA) and experimental works were carried out to validate the accuracy of the analytical method, and the analytical results show a good agreement with FEA and experimental data. The effect of the interface condition on the concentration at the interfaces was discussed; the difference between concentration and normalized concentration was illustrated; the correct interface condition, which is a continuous normalized concentration condition, was explained for the moisture diffusion behavior of sandwich structures. |
| first_indexed | 2024-03-09T12:23:01Z |
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| id | doaj.art-a52d802269f04ddda17504f9ebddb06e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T12:23:01Z |
| publishDate | 2022-07-01 |
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| series | Mathematics |
| spelling | doaj.art-a52d802269f04ddda17504f9ebddb06e2023-11-30T22:38:01ZengMDPI AGMathematics2227-73902022-07-011015266910.3390/math10152669The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich StructuresHang Yu0Lu Yao1Yan Ma2Zhaoyuan Hou3Jiahui Tang4Yuming Wang5Yang Ni6School of Transportation and Civil Engineering, Nantong University, Nantong 226019, ChinaSchool of Transportation and Civil Engineering, Nantong University, Nantong 226019, ChinaSchool of Textile and Clothing, Nantong University, Nantong 226019, ChinaSchool of Transportation and Civil Engineering, Nantong University, Nantong 226019, ChinaSchool of Transportation and Civil Engineering, Nantong University, Nantong 226019, ChinaSchool of Transportation and Civil Engineering, Nantong University, Nantong 226019, ChinaShanghai Electro-Mechanical Engineering Institute, Shanghai 201109, ChinaWhen hydrophilic materials (such as natural fiber, epoxy resin or concrete) compose sandwich structures, the moisture absorption from hydrothermal environments may significantly affect their mechanical properties. Although some experimental works were carried out, few mathematical efforts have been made to describe the moisture diffusion of multiphase symmetrical sandwich structures thus far. In this paper, the moisture diffusion equation was developed to effectively predict the moisture diffusion behavior of multiphase symmetrical sandwich structures as the function of aging time. Both finite element analysis (FEA) and experimental works were carried out to validate the accuracy of the analytical method, and the analytical results show a good agreement with FEA and experimental data. The effect of the interface condition on the concentration at the interfaces was discussed; the difference between concentration and normalized concentration was illustrated; the correct interface condition, which is a continuous normalized concentration condition, was explained for the moisture diffusion behavior of sandwich structures.https://www.mdpi.com/2227-7390/10/15/2669sandwich structuresmoisture diffusion equationnormalized concentrationmultiphase |
| spellingShingle | Hang Yu Lu Yao Yan Ma Zhaoyuan Hou Jiahui Tang Yuming Wang Yang Ni The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures Mathematics sandwich structures moisture diffusion equation normalized concentration multiphase |
| title | The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures |
| title_full | The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures |
| title_fullStr | The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures |
| title_full_unstemmed | The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures |
| title_short | The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures |
| title_sort | moisture diffusion equation for moisture absorption of multiphase symmetrical sandwich structures |
| topic | sandwich structures moisture diffusion equation normalized concentration multiphase |
| url | https://www.mdpi.com/2227-7390/10/15/2669 |
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