Finite Element Study of Effective Moduli of Nanoporous Materials Composed of Regular Gibson-Ashby Cells with Surface Stresses

The homogenizationHomogenization problem is described for a nanoporous material having a regular structure of Gibson-Ashby cellsGibson-Ashby cell. The nanoscaleNanoscale factor is taken into account according to the Gurtin-Murdoch model of surfaceSurface stressesStress. The homogenizationHomogenization problems were solved numerically by the finite element methodFinite element method (FEM) using the ANSYS package. Technologies for creating representative volumes consisting of thin and thick Gibson-Ashby cellsGibson-Ashby cell are presented. The surface effectSurface effect is modeled by shell elastic elementsElastic element with the membrane stressStress option. Numerical calculation results of effective moduli of a nanoporous material depending on porosity and surfaceSurface moduli are described.