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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v9.i2.40
pages 193-200

STATIC DEFLECTION ANALYSIS OF FLEXURAL SIMPLY SUPPORTED SECTORIAL MICRO-PLATE USING P-VERSION FINITE-ELEMENT METHOD

A. R. Ahmadi
International Center for Science and High Technology and Environmental Sciences, Kerman, Iran
H. Farahmand
Department of Mechanical Engineering, Islamic Azad University of Kerman Branch, Kerman, Iran
S. Arabnejad
Young Researchers Club, Kerman branch, Islamic Azad University, Kerman, Iran

ABSTRACT

In this paper, flexural Kirchhoff plate theory is utilized for static analysis of isotropic sectorial micro-plates based on a modified couple stress theory containing one material length scale parameter. The Levy method is implemented and the resulting sixth-order differential equation is solved for the unknown deflection using the p-version finite-element method. The Galerkin form of this differential equation is first reduced to its weak form and then solved using hierarchical p-version finite elements with second-order global smoothness. The computed deflection distribution of the micro-plate is compared with that of the classical theory, in which micro-effects are not present. A series of studies have revealed that when the length scale parameters are considered, deflection of a sectorial plate decreases as the length scale effect is increased; in other words, the micro-plate exhibits more rigidity.

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