The generalized self-consistent micromechanics prediction of the magnetoelectroelastic properties of multi-coated nanocomposites with surface effect

Abstract

A theoretical study on the effective magnetoelectroelastic (MEE) properties of the multi-coated nanocomposites is reported based on a generalized self-consistent model with surface MEE effect under far-field antiplane shear load, inplane electric load and inplane magnetic load. A rigorous analytical solution of overall generalized MEE stress and strain fields in each component is presented via the complex potential function theory. The closed-form solution of the effective MEE coefficients is obtained by using the average-field theory. Several existing and new results can be regarded as the special cases of the present solution. A comparison with other theoretical results shows good agreement, which illustrates the accuracy of the proposed method. Numerical examples reveal the size dependence of the effective MEE coefficients when the size of the coated fiber is at nanoscale. Several typical MEE composites with the epoxy matrix are investigated, and the influences of the microstructure parameters on the magnetoelectric coupling effect are discussed.

Fracture analysis of circular hole edge arbitrary position crack with surface effects in magnetoelectroelastic materials

“…Based on the Gurtin-Murdoch surface elasticity theory [10][11][12], the boundary conditions of the generalized stresses and generalized displacement at the surfaces of nano-hole and nano-crack are different from the classical MEE theory conditions when the defects are at nanoscale. In this paper, the defects of MEE materials are regarded as magnetoelectric impenetrable conditions, and the boundary conditions at the surfaces of the nanoscale hole and crack are as follows [25]:…”