BoundaryCalculation Models for Elastic Properties Clarification of Three-dimensional Nanocomposites Based on the Combination of Finite and Boundary Element Methods

Abstract

Object-oriented models have been developed for the wide class of three-dimensional nanocomposites that adequately reflect the elastic structures properties and are applicable for efficient numerical modeling. Closed equations systems have been obtained with the provision of boundaryintegral and variational formulations of three-dimensional static problems on the behavior of elastic materials with inhomogeneities of nanoscale. The obtained models allow to effectively predict the three-dimensional matrix nanocomposites mechanical properties for the full class of structure parameters. To characterize the effects at the nanoscale, both the GurtinMurdoch and classical model have been adopted, which includes the surface tension and surface stiffness.