Investigation of the Accuracy of the Numerical Manifold Method on n-Sided Regular Elements for Crack Problems
The numerical manifold method (NMM) is a representative among different numerical methods for crack problems. Due to the independence of physical domain and the mathematical cover system, totally regular mathematical elements can be used in the NMM. In the present paper, the NMM is applied to solve 2-D linear elastic crack problems, together with the comparison study on the accuracy of n-sided regular mathematical elements, i.e., the triangular elements (n=3), the quadrilateral elements (n=4) and the hexagonal elements (n=6). Our numerical results show that among different elements, the regular hexagonal element is the best and the quadrilateral element is better than the triangular one.
H. H. Zhang and J. X. Yan, "Investigation of the Accuracy of the Numerical Manifold Method on n-Sided Regular Elements for Crack Problems", Applied Mechanics and Materials, Vols. 157-158, pp. 1093-1096, 2012