A size-dependent shear deformation beam model based on the strain gradient elasticity theory

AKGÖZ B., CİVALEK Ö.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.70, ss.1-14, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.ijengsci.2013.04.004
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-14
  • Anahtar Kelimeler: Size effect, Modified strain gradient theory, Sinusoidal shear deformation theory, Bending, Vibration, Microbeam, FREE-VIBRATION ANALYSIS, DYNAMIC-ANALYSIS, NONLOCAL ELASTICITY, CARBON NANOTUBES, STRESS, MICRO, MICROSTRUCTURE, MICROCANTILEVER, NANOBEAMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

A new size-dependent higher-order shear deformation beam model is developed based on modified strain gradient theory. The model captures both the microstructural and shear deformation effects without the need for any shear correction factors. The governing equations and boundary conditions are derived by using Hamilton's principle. The static bending and free vibration behavior of simply supported microbeams are investigated. Analytical solutions including Poisson effect for deflections under point and uniform loads and for first three natural frequencies are obtained by Navier solution. The results are compared with other beam theories and other classical and non-classical models. A detailed parametric study is carried out to show the influences of thickness-to-material length scale parameter ratio, slenderness ratio and shear deformation on deflections and natural frequencies of microbeams. It is observed that effect of shear deformation becomes more significant for both smaller slenderness ratios and higher modes. (C) 2013 Elsevier Ltd. All rights reserved.