Mechanical analysis of isolated microtubules based on a higher-order shear deformation beam theory


AKGÖZ B., CİVALEK Ö.

COMPOSITE STRUCTURES, cilt.118, ss.9-18, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 118
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.compstruct.2014.07.029
  • Dergi Adı: COMPOSITE STRUCTURES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.9-18
  • Anahtar Kelimeler: Microtubules, Size effects, Modified strain gradient theory, Trigonometric shear deformation beam theory, Anisotropic model, STRAIN GRADIENT ELASTICITY, LONGITUDINAL VIBRATION ANALYSIS, FUNCTIONALLY GRADED MICROBEAMS, ATOMISTIC-CONTINUUM MODEL, PROTEIN MICROTUBULES, FLEXURAL RIGIDITY, THERMAL FLUCTUATIONS, NONLOCAL ELASTICITY, SHELL-MODEL, SINGLE MICROTUBULE
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, mechanical responses of isolated microtubules are investigated. Microtubules can be defined as bio-composite structures that are a component of the cytoskeleton in eukaryotic cells and play important roles in cellular processes. They have superior mechanical properties such as high rigidity and flexibility. In order to model the microtubules such as a hollow beam, a trigonometric shear deformation beam model is employed on the basis of modified strain gradient theory. The governing equations and related boundary conditions are derived by implementing Hamilton's principle. A detailed parametric study is performed to investigate the influences of shear deformation, material length scale parameter-to-outer radius ratio, aspect ratio and shear modulus ratio on mechanical responses of microtubules. It is observed that microstructure-dependent behavior is more considerable when material length scale parameters are closer to the outer diameter of microtubules. Also, it can be stated that effects of shear deformation become more significant for smaller shear modulus and aspect ratios. (C) 2014 Elsevier Ltd. All rights reserved.