Numerical Simulation of Polydisperse Two-phase Unidirectional Fibrous Structures Electroelastic Deformation

Abstract

In this work the problem formulation is stated, and a mathematical model is developed for calculating the electroelastic deformation of polydisperse two-phase unidirectional fibrous structures. The object of the research was a unidirectional transversely isotropic composite with a two-phase polydisperse structure - a piezo actuator cell and fragments of polydisperse fibrous structures. The constitutive relations at the composite macrolevel were obtained for longitudinal and transverse electromagnetic loading with allowance for the phase conductivity. The coefficients of the electromagnetic coupling of the composite were numerically determined depending on the volume fraction of the piezoelectric phase in the fibers and matrix form. The analysis of the obtained numerical solutions was carried out, the coincidence of the analytical solution with the solution of the asymptotic averaging method for an ideal periodic fibrous structure was obtained. Recommendations on the volumetric content of phases in a two-phase polydisperse composite are presented.