Acta Mechanica Solida Sinica

, Volume 30, Issue 1, pp 75–86 | Cite as

A size-dependent composite laminated skew plate model based on a new modified couple stress theory

  • Dan He
  • Wanli Yang
  • Wanji Chen


In this study, a size-dependent composite laminated skew Mindlin plate model is proposed based on a new modified couple stress theory. This plate model can be viewed as a simplified couple stress theory in engineering mechanics. Governing equations and related boundary conditions are derived based on the principle of minimum potential energy. The Rayleigh—Ritz method is employed to obtain the numerical solutions of the center deflections of simply supported plates with different ply orientations. Numerical results show that the normalized center deflections obtained by the proposed model are always smaller than those obtained by the classical one, i.e. the present model can capture the scale effects of microstructures. Moreover, a phenomenon reveals that the ply orientation would make a significant influence on the magnitude of scale effects of composite laminated plates at micro scale. Additionally, the present model of thick skew plate can be degenerated to the model of Kirchhoff plate based on the modified couple stress theory by adopting the assumptions in Bernoulli—Euler beam and material isotropy.


Modified couple stress theory Composite laminated plates Scale effects Ply orientation Rayleigh—Ritz method 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  1. 1.Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and SimulationShenyang Aerospace UniversityShenyangChina

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