Advances in Concrete Construction

Volume 13, Number 5, 2022, pages 377-384

DOI: 10.12989/acc.2022.13.5.377

Investigating nonlinear static behavior of hyperelastic plates using three-parameter hyperelastic model

Behzad Mohasel Afshari , Seyed Sajad Mirjavadi , Mohammad Reza Barati

Abstract

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

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