Effective elastic properties and stress states of doubly periodic array of inclusions with complex shapes by isogeometric boundary element method

Abstract

Isogeometric analysis is a new numerical method that has received a lot of attentions in recent years. In this method, the same functions used in the CAD system are used to describe geometry and approximate the field variables in numerical discretization. The isogeometric finite element method (IGFEM) has widely been used to study various problems for a long time, but in the field of the boundary element method (BEM), researches about the isogeometric analysis have not yet attained more attentions. In this paper, we use the isogeometric boundary element method (IGBEM) to carry out the calculation of effective elastic properties and stress states of doubly periodic inclusions with complex shapes. The results obtained by the IGBEM are compared with those from the finite element method (FEM). We believe that this work clearly presents the power of the IGBEM and provides an efficient approach to investigate elastic behavior of composites containing various microstructures.