考虑非线性破坏模型的改进非连续变形分析方法

A MODIFIED DISCONTINUOUS DEFORMATION ANALYSIS METHOD INCORPORATING A NONLINEAR FAILURE MODEL

  • 摘要: 非连续变形分析方法(DDA)已成为预测岩石强度及断裂特性的重要手段,但现有DDA难以准确刻画岩石应力-应变的非线性关系。为克服这一不足,该文将指数型破坏模型耦合进考虑胶结作用的DDA数值框架中,提出了一种改进DDA方法。通过双块体模型试验、三点梁弯曲试验、双切口矩形板拉伸试验、巴西劈裂试验及单轴压缩试验五个标准算例,验证了改进DDA方法的准确性与适用性。通过对模拟结果的综合分析发现:改进DDA方法对峰值作用力及峰后应力-应变关系的模拟结果受块体尺寸影响,表现为模拟精度随块体尺寸的减小而升高,并逐步收敛于试验结果;破坏前的模拟结果不受块体尺寸影响;改进DDA方法对不同工况下的岩石破坏问题展现出良好的适用性,在捕捉裂纹起裂位置、演化过程、应力-应变曲线及应力演化等方面的模拟精度较高。改进DDA为研究细观结构复杂岩石的断裂问题提供了新途径。

     

    Abstract: To overcome the limitations of existing Discontinuous Deformation Analysis (DDA) in modelling the nonlinear softening behavior of rocks, this study proposes a modified DDA that incorporates an exponential softening failure model within a bond-enhanced DDA framework. Five benchmark problems are conducted to validate the accuracy of the modified DDA, including a two-block system, a three-point bending beam, a double-notched plate, a uniaxial compression test, and a Brazilian disc test. The numerical results indicate that block size significantly influences the simulated peak force and post-peak response, and that computational results gradually converge toward the experimental data as the block size is reduced. The pre-peak mechanical response, however, is not affected by block size. The modified DDA accurately simulates the mechanical responses of rocks under various boundary conditions, including crack initiation, crack propagation, stress-strain relationships and stress evolution. This study provides a robust numerical tool for predicting rock strength and failure behavior.

     

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