A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method

CİVALEK Ö., Demir C.

APPLIED MATHEMATICS AND COMPUTATION, vol.289, pp.335-352, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 289
  • Publication Date: 2016
  • Doi Number: 10.1016/j.amc.2016.05.034
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.335-352
  • Keywords: Mathematical modeling, Finite element method, Buckling, Micro-structures, Continuum model, FUNCTIONALLY GRADED MICROBEAMS, WALLED CARBON NANOTUBES, LONGITUDINAL VIBRATION ANALYSIS, DEFORMABLE SHELL-MODEL, TIMOSHENKO BEAM THEORY, SHEAR DEFORMATION, BUCKLING ANALYSIS, WAVE-PROPAGATION, CONTINUUM, BEHAVIOR
  • Akdeniz University Affiliated: Yes

Abstract

A simple nonlocal beam model is proposed to study buckling response of protein microtubules. The size-effect for buckling model of microtubules is considered by using the nonlocal continuum theory. Finite element procedure is used for solution of nonlocal differential equation of microtubules for elastic stability. The influence of the small length scale on the buckling value is examined for different geometric parameters. The effect of elastic matrix surrounded of microtubules is also examined and some benchmark results are presented. (C) 2016 Elsevier Inc. All rights reserved.