Size-dependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory

Abstract

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A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory

“…In recent years, the MCST has been applied to study various behaviours at small-scales. For beam analysis, static bending, buckling, and vibration analysis have been solved using Euler-Bernoulli [29], Timoshenko [30][31][32][33], and higher-order beam theories [34]. The MCST was also applied to small-scale plate analyses in several ways, Tsiatas [35] initially employed it to investigate the static bending response of isotropic Kirchhoff microplates.…”

Size dependent bending analysis of two directional functionally graded microbeams via a quasi-3D theory and finite element method

“…(19) into Eq. (18) and then using the principle of the minimum potential energy given by Eq. (20), the system of equations to be solved for unknown variables are obtained.…”

Surface Energy Effects on the Nonlinear Free Vibration of Functionally Graded Timoshenko Nanobeams Based on Modified Couple Stress Theory

“…In the case of functionally graded (FG) micro-and nanobeams, many papers are published to explore their vibration characteristics. [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] It was concluded that the microstructure e®ect via the MCST increases the sti®ness-hardening of FG micro-and nanoscale beams.…”