Open Access

ABSTRACT

The boundary layer phenomenon in bending of thick annular sector plates

S. R. Atashipour¹, A. R. Saidi²

1 School of Mechanical Engineering, Iran University of Science & Technology, Tehran, Iran
2 Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

The International Conference on Computational & Experimental Engineering and Sciences 2010, 14(3), 91-96. https://doi.org/10.3970/icces.2010.014.091

Abstract

In this article, the bending equations of thick annular sector plates are derived based on the third-order shear deformation theory (TSDT). Using a function, called boundary layer function, the coupled system of equations is converted into two decoupled equations and solved analytically. It is shown that the value of the boundary layer function for TSDT is higher than that of the Mindlin theory. Thus, variations of stress components in the edge zone of the plate are more significant. It is seen that there exist no boundary layer, a weak boundary layer, and a strong boundary layer effect for simply supported, clamped, and free edges, respectively.

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