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Differential Quadrature Method for Bending Analysis of Asymmetric Circular Organic Solar Cells Resting on Kerr Foundation in Hygrothermal Environment

Author

Listed:
  • Mohammad A. Abazid

    (Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia)

  • Muneer Alali

    (Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia)

  • Mohammed Sobhy

    (Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia)

Abstract

This article presents the first theoretical analysis of the bending behavior of circular organic solar cells (COSCs). The solar cell under investigation is built on a flexible Kerr foundation and has five layers of Al, P3HT:PCBM, PEDOT:PSS, ITO, and Glass. The cell is exposed to hygrothermal conditions. The related Kerr foundation lessens displacements and supports the cell. The principle of virtual work is used to generate the basic partial differential equations, which are then solved using the differential quadrature method (DQM). The results of the present theory are validated by comparing them with published ones. The effects of the temperature, humidity, elastic foundation factors, and geometric configuration characteristics on the deflection and stresses of the COSC are examined.

Suggested Citation

  • Mohammad A. Abazid & Muneer Alali & Mohammed Sobhy, 2025. "Differential Quadrature Method for Bending Analysis of Asymmetric Circular Organic Solar Cells Resting on Kerr Foundation in Hygrothermal Environment," Mathematics, MDPI, vol. 13(7), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1203-:d:1629092
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    References listed on IDEAS

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    2. Kumavat, Priyanka P. & Sonar, Prashant & Dalal, Dipak S., 2017. "An overview on basics of organic and dye sensitized solar cells, their mechanism and recent improvements," Renewable and Sustainable Energy Reviews, Elsevier, vol. 78(C), pages 1262-1287.
    3. Mahmure Avey & Francesco Tornabene & Nigar Mahar Aslanova & Abdullah H. Sofiyev, 2024. "The Application of the Modified Lindstedt–Poincaré Method to Solve the Nonlinear Vibration Problem of Exponentially Graded Laminated Plates on Elastic Foundations," Mathematics, MDPI, vol. 12(5), pages 1-22, March.
    4. Fatemah H. H. Al Mukahal & Fatemah Alsebai & Mohammed Sobhy, 2025. "Applying Levy and DQ Methods to Hygrothermal Deformation of Piezoelectric/GPLs Plates with Porosities Lying on Elastic Foundations Using a Quasi-3D Plate Theory," Mathematics, MDPI, vol. 13(5), pages 1-34, February.
    5. Guney, Mukrimin Sevket, 2016. "Solar power and application methods," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 776-785.
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