Accurate evaluation of stress intensity factors using dual interpolation boundary face method
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Accurate computation of stress intensity factors for two-dimensional cracks by a dual interpolation boundary face method (DiBFM) is presented in this paper. Dual interpolation method combines traditional element polynomial interpolation and moving least-squares approximation. Dual interpolation elements are obtained by adding virtual nodes on the boundary of traditional discontinuous elements, and they unify traditional continuous and discontinuous elements. With the dual interpolation elements, both the continuous and discontinuous fields can be approximated, and the accuracy of interpolation increases by two orders compared with the corresponding discontinuous elements. In addition, a new singular element based on the dual interpolation method for modeling displacement fields around the crack tip is proposed in this paper. The stress intensity factors are extracted from the relative displacements between the crack surfaces. Using the DiBFM combined with the proposed singular element, accurate results of the stress intensity factors can be obtained. Numerical examples have demonstrated the accuracy and efficiency of the proposed method.
This work was supported in part by National Natural Science Foundation of China under Grant Numbers 11602229, 11602082, 11772125 and 11902141, in part by Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China under Grant Number 2019KFQ07, in part by Key Scientific and Technological Project of Henan Province under Grant Number 192102210227.