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将无网格法和弥散裂缝模型结合用于裂缝分析时,需要较细密的节点分布。为了准确描述土体裂缝开展,提出了一种无网格自动加密方法。通过在等参单元上布点后变换到实际的背景积分单元中,实现了裂缝开展区域的局部加密。在背景积分单元中使用有限元插值来计算新增节点和高斯积分点的状态变量。将提出的方法与弥散裂缝模型相结合,可用于土体裂缝的分析。对土梁弯曲试验进行模拟计算,验证了方法的有效性。
The combination of meshless and diffusion fracture models for fracture analysis requires a more dense distribution of nodes. In order to accurately describe the soil crack initiation, a meshless automatic encryption method is proposed. By arranging on the isoparametric unit and transforming into the actual background integral unit, the local encryption of the crack initiation area is realized. The finite element interpolation is used in the background integration unit to calculate the state variables for the new node and the Gaussian integration point. The proposed method combined with the diffusion fracture model can be used for the analysis of soil cracks. The bending test of soil beam is simulated and the validity of the method is verified.