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Extensions of discontinuous deformation analysis for geotechnical engineering

机译:非连续变形分析在岩土工程中的扩展

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Some key problems including energy dissipation,convergence criteria and simulation of construction procedure for geotechnical engineering in DDA method are discussed.In general,the deformation and progressive failure of rock masses is a quasi-static process of energy dissipation,but the original DDA method is a dynamic computation method based on time step integration technique.For quasi-static analysis of rock mass deformation,the original DDA method assumes the kinetic energy of the rock block system in the previous time step as zero,the mechanism and physical meaning of the energy consumption is not clear.In this paper,a linear viscous-type resistance is used to absorb the kinetic energy of the block system and the equilibrium equations to contain damping term are derived by minimizing the total potential energy.The mechanism of the energy consumption by damping force is discussed,and three types of convergence criteria including displacement criteria,velocity criteria and acceleration criteria are defined to ensure convergence to the correct result for quasi-static analysis.According to the features of DDA method,the problems of the excavating load and bolting load in the analysis of geotechnical engineering are studied.A mechanical model of rock bolt is established based on beam elements.The anti-tension,anti-shear,and anti-bend actions of bolts can be modelled,and the hardening characteristics of bolts after the plastic yielding are also captured.Several typical numerical examples are calculated to demonstrate the capability of the DDA method with the new extensions.The computational results show the improved DDA method has not only high accuracy and good convergence performance,but also is easily applied to practical engineering problems.
机译:讨论了DDA方法中的耗能,收敛准则以及岩土工程施工过程的模拟等关键问题。一般而言,岩体的变形和渐进破坏是耗能的准静态过程,但原始的DDA方法是为了对岩体变形进行准静态分析,原始的DDA方法假设岩体系统在前一个时间步中的动能为零,其能量的机理和物理意义是动态计算方法。本文使用线性粘滞型电阻来吸收块系统的动能,并通过使总势能最小化来推导包含阻尼项的平衡方程。讨论了阻尼力,并给出了位移准则,速度准则和加速度准则三种收敛准则。根据DDA方法的特点,研究了岩土工程分析中的开挖荷载和锚固荷载问题。可以基于梁单元建立模型,可以模拟螺栓的抗拉,抗剪和抗弯曲作用,还可以记录塑料屈服后螺栓的硬化特性,并通过几个典型的数值算例来证明其性能。计算结果表明,改进后的DDA方法不仅精度高,收敛性能好,而且易于解决实际工程问题。

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