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Hamzeh Salehipour

Academic rank: Associate Professor
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Education: PhD.
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Faculty: Engineering
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Research

Title
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation
Type
JournalPaper
Keywords
Functionally graded material; micro/nano plates; static deformation; exact solution; three-dimensional nonlocal elasticity
Year
2015
Journal LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
DOI
Researchers Hamzeh Salehipour ، Hassan Nahvi ، Alireza Shahidi

Abstract

This paper addresses the static deformation of simply supported rectangular micro/nano plates made of functionally graded (FG) materials based on the three-dimensional nonlocal elasticity theory of Eringen. The plates are assumed to be simply supported and rested on a Winkler-Pasternak elastic foundation. Elasticity modulus is assumed to obey an exponential law along the thickness direction of the micro/nano plate. Using the Fourier series, a displacement field is defined that satisfies simply supported boundary condition and reduces three elasticity equations to two independent equations. The closed-form bending response is achieved by exerting boundary conditions of the lateral surfaces. Numerical results are presented to investigate the influences of the gradient index of the material properties, nonlocal parameter and stiffness of elastic foundation on the mechanical behavior of the plates.