Shear deformation beam models for functionally graded microbeams with new shear correction factors

AKGÖZ B., CİVALEK Ö.

COMPOSITE STRUCTURES, vol.112, pp.214-225, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112
  • Publication Date: 2014
  • Doi Number: 10.1016/j.compstruct.2014.02.022
  • Journal Name: COMPOSITE STRUCTURES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.214-225
  • Keywords: Strain gradient theory, Buckling, Microstructures, Analytical modeling, FREE-VIBRATION ANALYSIS, HIGHER-ORDER SHEAR, MECHANICAL-BEHAVIOR, BUCKLING ANALYSIS, DYNAMIC-ANALYSIS, ELASTICITY, PLATES, PLASTICITY, FREQUENCY, LAYERS
  • Akdeniz University Affiliated: Yes

Abstract

A shear deformation beam model and new shear correction factors are presented for nonhomogeneous microbeams. The governing equations and corresponding boundary conditions in bending and buckling are obtained by implementing minimum total potential energy principle. Bending and buckling problems of a simply supported functionally graded microbeam are analytically solved by Navier solution procedure. Several comparative results are given for different material property gradient index, thickness-to-material length scale parameter ratio (or vice versa), slenderness ratio and shear correction factors. It is observed that size effect and shear deformation are more significant for lower values of thickness-to-material length scale parameter and slenderness ratios, respectively. (C) 2014 Elsevier Ltd. All rights reserved.