Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber Panels
This study presents analytical solutions grounded in three-dimensional (3D) thermo-elasticity theory to predict the bending behavior of cross-laminated timber (CLT) panels under thermo-mechanical conditions, incorporating the orthotropic and temperature-dependent properties of wood. The model initia...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Buildings |
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| Online Access: | https://www.mdpi.com/2075-5309/15/1/26 |
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| author | Chen Li Shengcai Li Kong Yue Peng Wu Zhongping Xiao Biqing Shu |
| author_facet | Chen Li Shengcai Li Kong Yue Peng Wu Zhongping Xiao Biqing Shu |
| author_sort | Chen Li |
| collection | DOAJ |
| description | This study presents analytical solutions grounded in three-dimensional (3D) thermo-elasticity theory to predict the bending behavior of cross-laminated timber (CLT) panels under thermo-mechanical conditions, incorporating the orthotropic and temperature-dependent properties of wood. The model initially utilizes Fourier series expansion based on heat transfer theory to address non-uniform temperature distributions. By restructuring the governing equations into eigenvalue equations, the general solutions for stresses and displacements in the CLT panel are derived, with coefficients determined through the transfer matrix method. A comparative analysis shows that the proposed solution aligns well with finite element results while offering superior computational efficiency. The solution based on the plane section assumption closely matches the proposed solution for thinner panels; however, discrepancies increase as panel thickness rises. Finally, this study explores the thermo-mechanical bending behavior of the CLT panel and proposes a modified superposition principle. The parameter study indicates that the normal stress is mainly affected by modulus and thermal expansion coefficients, while the deflection of the panel is largely dependent on thermal expansion coefficients but less affected by modulus. |
| format | Article |
| id | doaj-art-08f012772d904f1a9cd424e1a5e02f5d |
| institution | Kabale University |
| issn | 2075-5309 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Buildings |
| spelling | doaj-art-08f012772d904f1a9cd424e1a5e02f5d2025-01-10T13:15:49ZengMDPI AGBuildings2075-53092024-12-011512610.3390/buildings15010026Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber PanelsChen Li0Shengcai Li1Kong Yue2Peng Wu3Zhongping Xiao4Biqing Shu5School of Architectural Science and Engineering, Yangzhou University, Yangzhou 225127, ChinaSchool of Architectural Science and Engineering, Yangzhou University, Yangzhou 225127, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaSchool of Architectural Engineering, Yangzhou Polytechnic Institute, Yangzhou 225127, ChinaSchool of Architectural Engineering, Yangzhou Polytechnic Institute, Yangzhou 225127, ChinaThis study presents analytical solutions grounded in three-dimensional (3D) thermo-elasticity theory to predict the bending behavior of cross-laminated timber (CLT) panels under thermo-mechanical conditions, incorporating the orthotropic and temperature-dependent properties of wood. The model initially utilizes Fourier series expansion based on heat transfer theory to address non-uniform temperature distributions. By restructuring the governing equations into eigenvalue equations, the general solutions for stresses and displacements in the CLT panel are derived, with coefficients determined through the transfer matrix method. A comparative analysis shows that the proposed solution aligns well with finite element results while offering superior computational efficiency. The solution based on the plane section assumption closely matches the proposed solution for thinner panels; however, discrepancies increase as panel thickness rises. Finally, this study explores the thermo-mechanical bending behavior of the CLT panel and proposes a modified superposition principle. The parameter study indicates that the normal stress is mainly affected by modulus and thermal expansion coefficients, while the deflection of the panel is largely dependent on thermal expansion coefficients but less affected by modulus.https://www.mdpi.com/2075-5309/15/1/26CLT panelthermo-mechanical couplingorthotropyeigenvalue method3D thermo-elasticity theory |
| spellingShingle | Chen Li Shengcai Li Kong Yue Peng Wu Zhongping Xiao Biqing Shu Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber Panels Buildings CLT panel thermo-mechanical coupling orthotropy eigenvalue method 3D thermo-elasticity theory |
| title | Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber Panels |
| title_full | Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber Panels |
| title_fullStr | Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber Panels |
| title_full_unstemmed | Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber Panels |
| title_short | Analytical Solutions for Thermo-Mechanical Coupling Bending of Cross-Laminated Timber Panels |
| title_sort | analytical solutions for thermo mechanical coupling bending of cross laminated timber panels |
| topic | CLT panel thermo-mechanical coupling orthotropy eigenvalue method 3D thermo-elasticity theory |
| url | https://www.mdpi.com/2075-5309/15/1/26 |
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