NAVIER SOLUTION FOR BUCKLING ANALYSIS OF SIZE-DEPENDENT FUNC-TIONALLY GRADED MICRO-PLATES

Authors

  • HAMED FARAHMAND ISLAMIC AZAD UNIVERSITY OF KERMAN, KERMAN, IRAN.
  • SEYED SADEGH NASERALAVI DEPARTMENT OF CIVIL ENGINEERING, VALI-E-ASR UNIVERSITY OF RANFASJAN, RAFSANJAN, IRAN.
  • AFSHIN IRANMANESH DEPARTMENT OF CIVIL ENGINEERING, VALI-E-ASR UNIVERSITY OF RANFASJAN, RAFSANJAN, IRAN.
  • MEISAM MOHAMMADI ISLAMIC AZAD UNIVERSITY OF KERMAN, KERMAN, IRAN.

Keywords:

RECTANGULAR MICRO-PLATE, STRAIN GRADIENT THEORY, BUCKLING ANALYSIS, FUNCTIONALLY GRADED, KIRCHHOFF PLATE THEORY, NAVIER SOLUTION

Abstract

IN THE PRESENT PAPER, BUCKLING ANALYSIS OF FUNCTIONALLY GRADED RECTANGULAR MICRO-PLATES, ON THE BASIS OF STRAIN GRADIENT THEORY WITH ONE LENGTH SCALE PARAMETER IS STUDIED. CONSIDERING THE KIRCH-HOFF PLATE THEORY AND THE PRINCIPLE OF MINIMUM TOTAL POTENTIAL ENERGY, GOVERNING EQUATIONS OF MICRO-PLATE SUBJECTED TO IN-PLANE LOADS ARE EXTRACTED. IN ACCORDANCE WITH FUNCTIONALLY GRADED DISTRI-BUTION OF MATERIAL PROPERTIES THROUGH THE THICKNESS, HIGHER ORDER GOVERNING EQUATION OF SIXTH ORDER IS DERIVED. CONSEQUENTLY, THE STABILITY EQUATION IS SOLVED ANALYTICALLY FOR SIMPLY SUPPORTED MI-CRO-PLATES AND THE EFFECTS OF MATERIAL PROPERTIES, MICRO-STRUCTURE PARAMETERS, DIMENSIONS AND LOADING CONDITIONS ARE EXPOUNDED ON THE CRITICAL BUCKLING LOAD.

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Published

2016-10-31

Issue

Vol. 13 No. 16 (2016)

Section

Articles

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