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基于连续介质模型的离散元方法中弹簧性质研究
STUDY ON SPRING PROPERTIES OF CONTINUUM-BASED DISCRETE ELEMENT METHOD
查看参考文献10篇
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文摘
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地质体材料的破坏演化过程是地质灾害防治工程中亟待解决的关键科学问题，也是力学的前沿课题。基于连续模型的离散元方法是研究该问题的一种数值方法。用求矩阵特征值的方法，推导基于连续介质模型的离散元方法中三维有限元刚度矩阵转化为离散元弹簧刚度的解析表达式，给出了不同条件下离散元弹簧的取法。研究立方体八节点单元中离散元弹簧的性质，得到棱弹簧、面对角线弹簧以及体对角线弹簧的刚度和方向表达式，给出这些弹簧刚度以及方向与泊松比的关系图。最后，将基于连续介质模型的离散元方法模型与Gusev模型、二维链网模型进行比较。对于泊松比为0．25时的平面应变问题，对于泊松比为1／3时的平面应力问题，基于连续介质模型的离散元方法模型与二维链网模型一致。在块体内部，基于连续介质模型的离散元方法模型与Gusev模型一致。且基于连续介质模型的离散元方法模型能模拟链网模型和Gusev模型都不能模拟边界单元，证明基于连续介质模型的离散元方法模型更具普遍性。 |
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其他语种文摘
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The failure progress of geological material is a key scientific problem in the engineering of geological hazard and control, and is also a front problem in mechanics. The continuum-based discrete element method （CDEM） is a numerical method to research this problem. According to the method to solve eigenvalues of matrix, the analytical expressions of the spring stiffness in the discrete element from the stiffness matrix of the three-dimensional finite element is deduced; and the rules how to choose the spring in the discrete element under different conditions are presented. The spring properties of the discrete element in the 8-node solid isoparametric dement is investigated; the expressions of the stiffness and directions of the spring between common edge particles, between common diagonal of face particles and between common diagonal of cubic particles are deduced; and the figures about the relation between the stiffness and directions of spring and Poisson ratio are given. Finally, the CDEM is compared with both Gusev model and two-dimensional nets model. When the Poisson＇s ratio is 0.25, the CDEM model ,is consistent with two-dimensional nets model in plane stress problem. And when the Poisson＇s ratio is 1/3, the CDEM model is consistent with two-dimensional nets model in plane strain problem. In block interior, the CDEM model is consistent with Gusev model. The CDEM model can simulate boundary element which Gusev model and two-dimensional can＇t, and is proved to be more universal than the other models. |
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来源
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岩石力学与工程学报
,2006,25(6):1159-1169 【核心库】
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关键词
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岩土力学
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离散元
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有限元
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连续介质模型
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地址
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1.
河北工业大学理学院, 天津, 300130
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中国科学院力学研究所, 北京, 100080
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-6915 |
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学科
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建筑科学 |
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基金
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国家973计划
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国家自然科学基金资助项目
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河北省高校重点学科建设项目
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中国科学院知识创新工程重要方向项目
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文献收藏号
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CSCD:2505922
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