In the present study, buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed. The microcolumn considered in this study made functionally graded materials longitudinal direction and varies continuously throughout axial direction. Bernoulli–Euler beam theory conjunction modified strain gradient are employed to model structure by considering size effect. Rayleigh–R...

The present paper aims at providing a comprehensive investigation of the abilities and limitations strain gradient crystal plasticity (SGCP) theories in capturing different kinds localization modes single crystals. To this end, small deformation Gurtin-type SGCP model recently proposed by authors, based on non-quadratic defect energy uncoupled dissipation assumption, is extended to finite defor...

Abstract In this paper, the reduced strain gradient elasticity model with two characteristic lengths is proposed and presented. The a particular case of Mindlin’s first theory number material parameters generalization simplified to include different length scale parameters. have physical meaning longitudinal transverse scales. used study screw edge dislocations derive analytical solutions dislo...

In this paper, vibration of the protein microtubule, one of the most important intracellular elements serving as one of the common components among nanotechnology, biotechnology and mechanics, is investigated using stress and strain gradient elasticity theory and orthotropic elastic shells model. Microtubules in the cell are influenced by internal and external stimulation and play a part in con...

We extend the application of the method of initial values (also known as the transfer matrix method) to find frequencies of free vibrations of a strain-gradient-dependent Euler–Bernoulli beam (EBB) under different boundary conditions at the two end faces of the beam. For the classical EBB, we find the exact matricant or the carry-over matrix but it is numerically evaluated for the strain-gradie...

In this paper, the pull-in instability of piezoelectric polymeric nanocomposite plates reinforced by functionally graded single-walled carbon nanotubes (FG-SWCNTs) based on modified strain gradient theory (MSGT) is investigated. Various types of SWCNTs are distributed in piezoelectric polymeric plate and also surface stress effect is considered in this research. The piezoelectric polymeric nano...

Microtubules are used as targets for anticancer drugs due to their crucial role in the process of mitosis. Recent studies show that carbon nanotubes (CNTs) can be classified as microtubule-stabilizing agents as they interact with protein microtubules (MTs), leading to interference in the mitosis process. CNTs hold a substantial promising application in cancer therapy in conjunction with other c...