Mohsen Asghari

TL;DR: In this article, a nonlinear size-dependent Timoshenko beam model based on modified couple stress theory is presented, a non-classical continuum theory capable of capturing the size effects.

TL;DR: In this article, the size-dependent static and vibration behavior of micro-beams made of functionally graded materials (FGMs) is analyzed on the basis of the modified couple stress theory in the elastic range.

TL;DR: In this article, a modified couple stress theory is proposed to capture the small-scale size effects in the mechanical behavior of structures, where the beam properties are assumed to vary through the thickness of the beam.

TL;DR: In this article, the resonant frequency and sensitivity of atomic force microscope (AFM) microcantilevers are studied using the modified couple stress theory, which employs additional material parameters besides those appearing in classical continuum theory to treat the size-dependent behavior.

TL;DR: In this paper, a nonlinear size-dependent Euler-Bernoulli beam model is developed based on a strain gradient theory, capable of capturing the size effect, considering the midplane stretching as the source of the nonlinearity in the beam behavior, the governing nonlinear partial differential equation of motion and the corresponding classical and non-classical boundary conditions are determined using the variational method.