Modeling complex crack problems using the three-node triangular element fitted to numerical manifold method with continuous nodal stress  

作　　者：YANG YongTao XU DongDong SUN GuanHua ZHENG Hong 

机构地区：[1]State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences [2]Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources,Yangtze River Scientific Research Institute [3]Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education,Beijing University of Technology

出　　处：《Science China(Technological Sciences)》2017年第10期1537-1547,共11页中国科学（技术科学英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos 51609240,11572009&51538001);and the National Basic Research Program of China(Grant No 2014CB047100)

摘　　要：A three-node triangular element fitted to numerical manifold method with continuous nodal stress, called Trig_3-CNS(NMM)element, was recently proposed for linear elastic continuous problems and linear elastic simple crack problems. The Trig_3-CNS(NMM) element can be considered as a development of both the Trig_3-CNS element and the numerical manifold method(NMM).Inheriting all the advantages of Trig_3-CNS element, calculations using Trig_3-CNS(NMM) element can obtain higher accuracy than Trig_3 element without extra degrees of freedom(DOFs) and yield continuous nodal stress without stress smoothing. Inheriting all the advantages of NMM, Trig_3-CNS(NMM) element can conveniently treat crack problems without deploying conforming mathematical mesh. In this paper,complex problems such as a crucifix crack and a star-shaped crack with many branches are studied to exhibit the advantageous features of the Trig_3-CNS(NMM) element. Numerical results show that the Trig_3-CNS(NMM) element is prominent in modeling complex crack problems.

关 键 词：numerical manifold method Trig3-CNS （NMM） element stress intensity factor complex crack problems 

分 类 号：O346.1[理学—固体力学]