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双指数爆破荷载的应力时程关系是爆破工程的数值分析常用的动力输入。其在弹性岩石中传播衰减的特征线法解是工程爆破数值分析中弹性以及弹塑性分析的重要参照,也是动力学数值分析算法开发的重要高阶校准工具。应用统一弹性波的特征线法解求解源自圆形孔洞的双指数爆破荷载在理想介质中的传播。介绍了源自圆形孔洞的双指数爆破荷载在周围弹性介质传播过程中的径向应力、周向应力、位移以及速度波的特征线法解的具体过程,在MATLAB中进行了4种波的特征线法解的数值实施。对径向应力、周向应力、位移以及速度波的特征线法解的结果进行了多方面讨论。结果表明,特征线法是求解双曲型偏微分方程的一种有效方法,双指数爆破荷载在弹性岩石中传播衰减的特征线法解可为爆破工程数值分析以及动力学数值分析算法开发提供重要的支撑。
The stress-time-history relationship of double exponential burst load is commonly used in numerical analysis of blasting engineering. The method of characteristic line propagation attenuation in elastic rock is an important reference for the analysis of elasticity and elasto-plasticity in the numerical analysis of blasting engineering. It is also an important high-level calibration tool developed by numerical analysis of dynamics. Using the Method of Characteristic Expressions of Unified Elastic Waves to Solve the Propagation of Double Exponential Explosive Loads Originated in a Circular Hole in an Ideal Medium. In this paper, we introduce the specific process of the solution of the radial stress, circumferential stress, displacement and velocity wave of the double exponential burst load originating from a circular hole in the surrounding elastic medium. Four kinds of wave The Implementation of the Method of Characteristic Line Method. Various aspects of the results of the method for the solution to the characteristic of radial stress, circumferential stress, displacement and velocity wave are discussed in detail. The results show that the characteristic line method is an effective method for solving hyperbolic partial differential equations. The characteristic line method for the attenuation of double exponential burst loads in elastic rocks can provide important data for the numerical analysis of blasting engineering and the development of numerical analysis of dynamics Support