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,本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;然而,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. Furthermore, 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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