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基于时域自适应算法的单向粘弹性节理岩体的等效分析
引用本文:任懿,杨海天. 基于时域自适应算法的单向粘弹性节理岩体的等效分析[J]. 计算力学学报, 2009, 26(3): 301-306
作者姓名:任懿  杨海天
作者单位:大连理工大学,工程力学系,工业装备结构分析国家重点实验室,大连,116023
基金项目:国家自然科学基金,国家重点基础研究发展规划(973计划),辽宁省青年学术带头人基金 
摘    要:在粘弹性节理岩体的数值仿真中,必需合理地计及节理的影响.若将节理与岩体作为独立的材料组分考虑,在节理密集的情况下,时空两方面的计算开销可能是很难承受的.本文通过时域展开技术与一个简单的等效假定,得到了递推格式的粘弹性单向节理岩体的等效本构关系,及等效场的递推求解格式,并由此数值模拟了一个粘弹性节理岩体中的洞室,计算结果与考虑独立组分的ANSYS粘弹性分析进行了比较,二者的计算平均误差约为11.03%,但前者的计算效率为后者16.81倍.本文工作有可能为粘弹性节理岩体的数值模拟提供一条新的途径.

关 键 词:节理岩体  粘弹性  时域精细算法  递推
收稿时间:2008-08-08

An equivalent analysis of unidirectional viscoelastic jointed rock based on the adaptive algorithm in time-domain
REN Yi and YANG Hai-tian. An equivalent analysis of unidirectional viscoelastic jointed rock based on the adaptive algorithm in time-domain[J]. Chinese Journal of Computational Mechanics, 2009, 26(3): 301-306
Authors:REN Yi and YANG Hai-tian
Affiliation:Department of Engineering Mechanics,State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116023,China;Department of Engineering Mechanics,State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116023,China
Abstract:A reasonable joint model is necessary for the numerical simulation of viscoelastic jointed rock, If considering joints and rock mass individually with their own constitutive model, the computational expense will be challenged when the number of joints is fairly large. This paper presents a numerical model to predict equivalent constitutive relationship and deformation of unidirectional viscoelastic joint rock. An adaptive precise algorithm in the time-domain and a simple equivalence assumption are combined to convert a time dependent inhomogeneous problem into a series of recursive time independent homogeneous problems which can be solved either by FEM or other well developed numerical schemes. An equivalent numerical simulation for an underground cave in unidirectional viscoelastic joint rock is given and compared with the solution provided by ANSYS In the viewpoint of balance between computing accuracy and efficiency, the results are fairly good.
Keywords:Jointd Rock  viscoelasticity  equivalent analysis  adaptive algorithm  finite element
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