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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

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

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2012004062
pages 309-318

NAVIER SOLUTION FOR STATIC ANALYSIS OF FUNCTIONALLY GRADED RECTANGULAR MICROPLATES

H. Farahmand
Department of Mechanical Engineering, Islamic Azad University of Kerman Branch, Kerman, Iran
M. Mohammadi
Young Researchers and Elites Club, Kerman Branch, Islamic Azad University, Kerman, Iran

ABSTRACT

In this paper, bending analysis of thin functionally graded (FG) rectangular microplates based on the strain gradient theory is presented. Relying on strain gradient theory, flexural microplate theory is utilized to obtain the governing equations for FG flexural microplates, which include higher-order terms. It is assumed that the material properties of FG microplates vary through the thickness according to a power law function. Also, it is supposed that the microplate is simply supported along all edges; hence, the Navier solution is used to find the deflection of the microplate. Finally, based on the obtained closed form solution, effects of length scale parameters, material properties, and dimensions on the static response of flexural microplates are investigated in detail.

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