An Improved CEM with Regard to the Crack-Tip

Abstract

This paper expounds the basic principles of composite element method (CEM).In order to model the discontinuity of the displacement, the asymptotic crack tip displacement fields are added to the CEM approximation for the local enrichment by using the framework of partition of unity. Thus, the crack tip can be inserted into anywhere within the element. The crack-tip displacement mode is given, and some formulas are derived and established in a CEM program. The evaluation of stress intensity is discussed. Numerical simulations illustrate that the proposed algorithm has similar accuracy compared to the FEM, and it has advantage of convenient of pre-process.