CLOSED-FORM ELASTICITY SOLUTION FOR THREE-DIMENSIONAL DEFORMATION OF FUNCTIONALLY GRADED MICRO/NANO PLATES ON ELASTIC FOUNDATION

Authors

  • HASSAN NAHVI ISFAHAN UNIVERSITY OF TECHNOLOGY, DEPARTMENT OF MECHANICAL ENGINEERING
  • HAMZEH SALEHIPOUR ISFAHAN UNIVERSITY OF TECHNOLOGY, DEPARTMENT OF MECHANICAL ENGINEERING
  • ALIREZA SHAHIDI ISFAHAN UNIVERSITY OF TECHNOLOGY, DEPARTMENT OF MECHANICAL ENGINEERING

Keywords:

FUNCTIONALLY GRADED MATERIAL, MICRO/NANO PLATES, STATIC DEFORMA-TION, EXACT SOLUTION, THREE DIMENSIONAL NONLOCAL ELASTICITY

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 MECHANICAL BEHAVIOR OF THE PLATES.

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Published

2015-02-19

Issue

Vol. 12 No. 4 (2015)

Section

Articles

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