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    土石混合料填方边坡变形特性的多尺度耦合有限元分析方法

    Multi-scale Finite Element Method for Simulating the Deformation Characteristics of Soil-rock Mixture Slope

    • 摘要: 土石混合料是由多粒组矿物颗粒集成的天然多相地质材料,具有显著的非均匀非连续力学特性.基于土体胞元模型思想,推导考虑块石转动自由度的土石混合料弹塑性本构关系,编制土石混合料的多尺度分层次有限元程序,通过土石混合料的大型直剪试验结果确定相关模型参数,进而用于分析土石混合料边坡剪切带生成和发展的跨尺度演化过程.结果表明:采用多尺度耦合有限元法可科学地模拟和预测土石混合料边坡变形的跨尺度演化特征,同时能够有效地克服传统弹塑性有限元法模拟和预测结果的病态网格依赖性;在土石混合料填方边坡的变形过程中,块石的转动位移主要集中在边坡的剪切带范围内,其最大计算结果为40.7°,剪切带外块石的转动位移为0.

       

      Abstract: Soil-rock mixture is a natural multi-phase geological material integrated by multi-grain mineral particles,and has significant heterogeneous and discontinuous mechanical properties.Based on the idea of soil cell element model,an elastic-plastic constitutive relation of soil-rock mixture considering the rotational degree of freedom of rock block is derived,and a multi-scale and hierarchical finite element program of soil-rock mixture is developed.Relevant model parameters are determined by large-scale direct shear tests on soil-rock mixture.Moreover,the proposed multiscale finite element method (FEM) is used to analyze the cross-scale formation and evolution of the shear band of soil-rock mixture slope.The results show that the multi-scale coupled FEM can scientifically simulate and predict the cross-scale evolution of the deformation of soil-rock mixture slope,and can effectively overcome the pathological mesh-dependency of conventional elastic-plastic FEM;during the deformation of soil-rock mixture slope,the rotational displacement of rock blocks mainly concentrates in the shear band of the slope,the maximum calculation result is 40.7°,and the rotational displacement of rock blocks outside the shear band is zero.

       

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