Author
Çiğdem Demir
Bio: Çiğdem Demir is an academic researcher from Akdeniz University. The author has contributed to research in topics: Euler–Bernoulli beam theory & Timoshenko beam theory. The author has an hindex of 16, co-authored 30 publications receiving 1547 citations.
Papers
More filters
••
TL;DR: In this paper, an elastic beam model using nonlocal elasticity theory is developed for the bending analysis of microtubules (MTs) based on the Euler-Bernoulli beam theory.
313 citations
••
TL;DR: In this article, the size effects in the torsional and axial response of microtubules by using the nonlocal continuum rod model is investigated, and a simple finite element procedure is used for modeling and solution of nonlocal discrete system equation for micro-tubules.
183 citations
••
TL;DR: In this paper, the bending of nano/micro beams under the concentrated and distributed loads has been investigated by using Euler Bernoulli beam theory via the enhanced Eringen differential model.
172 citations
••
TL;DR: A size dependent finite element model is developed and nonlocal elasticity theory is used for solution of nonlocal differential equation of microtubules for elastic stability.
169 citations
••
TL;DR: In this article, the equations of motion and bending of Euler-Bernoulli beam are formulated using the nonlocal elasticity theory for cantilever microtubules (MTs).
Abstract: The equations of motion and bending of Euler-Bernoulli beam are formulated using the nonlocal elasticity theory for cantilever microtubules (MTs). The method of differential quadrature (DQ) has been used for numerical modeling. The size effect is taken into consideration using the Eringen’s non-local elasticity theory. Frequencies and deflections of MTs are obtained. Numerical results are presented to show the effect of small-scale effect on bending and vibration of MTs.
143 citations
Cited by
More filters
••
TL;DR: In this paper, a nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration of nanobeams using the nonlocal differential constitutive relations of Eringen.
459 citations
••
TL;DR: In this article, the stability problem of nano-sized beam based on the strain gradient elasticity and couple stress theories is addressed, and the size effect on the critical buckling load is investigated.
436 citations
••
TL;DR: In this paper, a non-classical (non-local) nanobeam model incorporating the length scale parameter (nonlocal parameter) which can capture the small scale effect is proposed.
336 citations
••
TL;DR: Free vibration analysis of functionally graded (FG) size-dependent nanobeam using finite element method to show the significance of the material distribution profile, nonlocal effect, and boundary conditions on the dynamic characteristics of nanobeams.
322 citations
••
TL;DR: In this paper, an elastic beam model using nonlocal elasticity theory is developed for the bending analysis of microtubules (MTs) based on the Euler-Bernoulli beam theory.
313 citations