Abstract The size dependent static pull-in instability of functionally graded (FG) microbeams in micro-electromechanical systems (MEMS) is studied, considering the influence axial force. material properties are varied beam thickness by a power-law function, and they calculated rule mixture. To account for microsize effect, classical Euler-Bernoulli theory employed combination with modified coup...

Numerical and analytical solutions of Stokes theory couple stress fluid under the effects constant, space, variable viscosity in inclined channel are discussed here. The considered is described mathematically with definition tensor. dimensional form boundary value problem transformed into dimensionless by defining quantities then solved help perturbation technique. expressions velocity temperat...

In this paper, an analytical model based on the modified couple stress theory and Timoshenko beam is developed to study vibrational power flow of a microbeam with crack. The open edge crack modeled as rotational spring, which connects two segments separated by location. governing equations cracked are derived from Hamilton's principle. By introducing differential operator method, transformed in...

In this paper, the free vibration behaviors and flexural sensitivity of atomic force microscope cantilevers with small-scale effects are investigated. To study the small-scale effects on natural frequencies and flexural sensitivity, the consistent couple stress theory is applied. In this theory, the couple stress is assumed skew-symmetric. Unlike the classical beam theory, the new model contain...

In this paper, we have investigated the effects of throughflow and gravity modulation on a couple stress fluid saturated porous layer using non-autonomous Ginzburg-Landau model. A small variation disturbances has been considered to examine nonlinear thermal instability in media. At third order, finite amplitude convection calculated which determines heat transfer. The effect i.e., inflow outflo...