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Static bending and free vibration of organic solar cell resting on Winkler-Pasternak elastic foundation through the modified strain gradient theory

DOI:10.1016/j.euromechsol.2019.103852 期刊:European Journal of Mechanics - A/Solids 出版年份:2019 更新时间:2025-09-11 14:15:04
摘要: Organic solar cell (OSC), which is deemed to be the most promising third generation solar energy application, is developing vigorously. Based on the modified strain gradient theory (MSGT) and the refined shear deformation plate theory, static bending and free vibration of the size-dependent OSC are thoroughly investigated in this paper. A Winkler-Pasternak elastic foundation is considered for the OSC. A multiscale suitable plate analysis framework (i.e., both macro- and micro plates can be handled) is developed herein. Three length scale parameters are incorporated in the presented analysis to capture the size-dependency of the OSC. By setting two or three of them into zero, the presented model could degenerate into the modified couple stress theory (MCST) and the classical plate theory (CPT). The derivation of the governing equations and the corresponding boundary conditions are conducted by Hamilton principle. The Navier-type solution is employed for solving the governing equations of the simply supported OSC. The accuracy of the presented method is validated. Extensive numerical experiments have been conducted to investigate the differences between the adopted MSGT, the MCST and the CPT. Moreover, the impacts of the geometrical configuration as well as the elastic foundation parameters on the static bending and free vibration characteristics are illustrated in the numerical studies. This paper also explores the thickness of the active layer effect on the free vibration behaviour in combination with the power conversion efficiency (PCE) of the OSC.
作者: Qingya Li,Di Wu,Wei Gao,Francis Tin-Loi,Zhenyu Liu,Jin Cheng
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Investigating the static bending and free vibration of the size-dependent organic solar cell (OSC) resting on Winkler-Pasternak elastic foundation through the modified strain gradient theory.

The study concludes that the classical plate theory (CPT) overestimates the static deflection of the OSC and underestimates the natural frequency due to the negligence of the higher-order gradient tensors. The modified strain gradient theory (MSGT) captures the size-dependency characteristics of the OSC more accurately by incorporating additional dilatation and deviatoric stretch gradient tensors. The size effect results in an increase of the stiffness of the OSC, declining the deflection and increasing the natural frequency. The aspect ratio produces a more prominent effect on both the static bending and free vibration behaviours of the OSC than the length-to-thickness ratio. The elastic foundation can be considered as an effective way to reduce the deflection and rise the natural frequency of the OSC. The Pasternak coefficient works more efficiently than the Winker coefficients. Increasing the thickness of the active layer shows a downward trend in the natural frequency while the power conversion efficiency (PCE) of the OSC tends to vary nonlinearly.

The study does not specify the experimental equipment and materials used, as it is a theoretical analysis. The material length scale parameter is assumed to be l0 = l1 = l2 = l = 15μm due to the lack of available experimental data for the considered model.

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