Deflection of a hyperbolic shear deformable microbeam under a concentrated

Akgoza B., CİVALEK Ö.

JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, cilt.2, sa.2, ss.65-73, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.22055/jacm.2016.12331
  • Dergi Adı: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.65-73
  • Anahtar Kelimeler: Bending, hyperbolic shear deformation theory, modified strain gradient theory, size dependency
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. Effects of shear deformation and small size are taken into consideration by hyperbolic shear deformable beam theory and modified strain gradient theory, respectively. The governing differential equations and corresponding boundary conditions are obtained by implementing minimum total potential energy principle. Navier-type solution is employed to achieve an analytical solution for deflections of simply supported homogeneous microbeams. The effects of shear deformation, material length scale parameter and slenderness ratio on the bending response of microbeams are investigated in detail.