Abstract The contact theory of numerical manifold method(NMM) is not only an important attribute of NMM but also the most time consuming part of NMM algorithm. Thus,it?s necessary to improve the efficiency of contact algorithm of NMM. Cover system and contact judgment method of NMM are introduced first in this paper. The efficiency of contact detection algorithm of NMM and its defects are analyzed in detail as well. After that,contact threshold as well as contact segments and the corresponding contact zones is defined based on the characteristic of contact algorithm. And the extremums of x and y coordinates of the contact zones are calculated. Then,spatial sorting is carried out by referring to double-ended spatial sorting(DESS) algorithm and the new contact detection algorithm of NMM is proposed. The new contact detection algorithm can detect the specific contact pair(vertex- edge or vertex-angle) thus have higher efficiency compared with the original contact detection algorithm in NMM.
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