摘要
针对传统的断裂准则难以模拟混合型多裂纹扩展问题,在已有数值流形法程序基础上,对已有的裂纹扩展准则进行改进使数值流形法能够适应于多种类型裂纹扩展模拟。研究中以莫尔-库仑准则和最大周向应力准则为基础,将二者结合确定裂纹扩展方向。采用C语言开发相应计算程序计算了半圆盘拉伸试验和四点双边剪切试验,数值模拟和试验结果的裂纹扩展路径一致,并且裂纹能够穿过流形单元内部。随后模拟了重力坝开裂问题,发现重力坝开裂主要是拉伸破坏,并且裂纹扩展路径与有限元结果近似。最后通过模拟边坡滑移问题,计算结果与DEM和其他方法对比具有高度一致性。结果不仅验证了提出的强度准则在模拟各类型的裂纹扩展问题是有效的,同时为NMM模拟工程实际问题打下基础。
In order to solve the problem that the traditional fracture criterion is difficult to simulate the mixed multi-crack propagation,based on the existing numerical manifold method program,the existing crack propagation criterion is improved so that the numerical manifold method can be adapted to the simulation of various types of crack propagation.Based on the Mohr-Coulomb criterion and the maximum circumferential stress criterion,the crack propagation direction is determined by combining the two criteria.The corresponding program developed by C language is used to calculate the half disk tensile tests and four-point bilateral shear tests.The crack propagation paths of the numerical simulation and test results are consistent,and the crack can pass through the interior of manifold element.Subsequently,the cracking problem of gravity dams is simulated,and it is found that the cracking of gravity dams is mainly tensile failure,and the crack propagation path is similar to the finite element results.Finally,by simulating the slope slip problem,the calculated results are highly consistent with those by DEM and other methods.The results of this study verify the effectiveness of the proposed strength criterion in simulating various types of crack propagation problems and lay a foundation for NMM to simulate practical engineering problems.
作者
喻志发
于长一
刘丰
闫澍旺
YU Zhi-fa;YU Chang-yi;LIU Feng;YAN Shu-wang(School of Civil Engineering,Tianjin University,Tianjin 300354,China;CCCC-Tianjin Port Engineering Institute Co.,Ltd.,Tianjin 300222;Key Laboratory of Geotechnical Engineering,Ministry of Communications,Tianjin 300222;Key Laboratory of Geotechnical Engineering of Tianjin,Tianjin 300222,China)
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
2020年第4期751-757,共7页
Chinese Journal of Geotechnical Engineering
基金
国家自然科学基金青年基金项目(11602165)
国家自然科学基金项目(51709198)
天津市自然科学基金项目(16JCQNJC07900)。
关键词
数值流形法
裂纹扩展
拉伸
剪切
边坡
numerical manifold method
crack propagation
stretching
shear
slope
