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Advances in Concrete Construction
  Volume 13, Number 5, May 2022 , pages 377-384

Investigating nonlinear static behavior of hyperelastic plates using three-parameter hyperelastic model
Behzad Mohasel Afshari, Seyed Sajad Mirjavadi and Mohammad Reza Barati

    The present paper deals with nonlinear deflection analysis of hyperelastic plates rested on elastic foundation and subject to a transverse point force. For modeling of hyperelastic material, three-parameter Ishihara model has been employed. The plate formulation is based on classic plate theory accounting for von-Karman geometric nonlinearity. Therefore, both material and geometric nonlinearities have been considered based on Ishihara hyperelastic plate model. The governing equations for the plate have been derived based on Hamilton's rule and then solved via Galerkin's method. Obtained results show that material parameters of hyperelastic material play an important role in defection analysis. Also, the effects of foundation parameter and load location on plate deflections will be discussed.
Key Words
    deflection; Galerkin
Behzad Mohasel Afshari: Fidar Project Qaem Company, Darvazeh Dolat, Tehran, Iran
Seyed Sajad Mirjavadi: Department of Mechanical and Industrial Engineering, Qatar University, P.O. Box 2713, Doha, Qatar
Mohammad Reza Barati: Respina Lubricant Supply Company, Poonak, Tehran, Iran

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