On frequency analysis of functionally graded nano beam under hygrothermal effect

Due to the fact that, excessive stresses induced by drastic moisture and temperature gradients make the engineering structures susceptible to failure. But only thermal effect has been considered so far to study the frequency analysis of FGM nanobeams, wherein most of the cases some rule of mixture were used to grade the mechanical properties along certain directions. It has been observed from the literature that the interfacial stresses arise which is the main cause of failure of composite structures is reduced up to an extent if the mechanical constants are varying under sigmoid law formulation. Hence, this paper reported the frequency behavior of functionally graded nanobeam under hygrothermal effect, where the mechanical constants are assumed to vary smoothly along the thickness direction using power law or sigmoid law distribution. The MUMPS Eigen solver which is exists in COMSOL Multiphysics® (version 5.2) software is employed to obtain the Eigenfrequencies and corresponding mode shapes. Hence, this study can be helpful directly or indirectly in development of highly efficient hygrothermal Nano sensors based on functionally graded materials for health monitoring purpose.