In this work, we propose a new phase-field formulation with dynamic JH2 constitutive model in the updated Lagrangian finite element framework for capturing the blasting-induced failure and breakage phenomena in rock masses. We innovatively formulate phase-field evolution by taking mechanical strengths and failure/breakage characteristics of rock materials at intact and residual states under dynamic loading conditions. We further develop new free energy decomposition strategy thermodynamically consistent with the known classical JH2 constitutive model for rock dynamic failure and breakage analysis. To obtain the stable solutions, we employ the staggered time integration strategy in dynamic equations of linear momentum balance and phase-field evolution. Several numerical examples are performed not only for quantitative and qualitative validation, but also for providing deep insights into the blasting-induced dynamic failure and breakage mechanisms of rock masses.

中文翻译：

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岩体爆破破坏和破损分析的相场模型

在这项工作中，我们在更新的拉格朗日有限元框架中提出了一种具有动态 JH2 本构模型的新相场公式，用于捕获岩体中爆破引起的破坏和破碎现象。我们通过采用动态加载条件下完整和残余状态下岩石材料的机械强度和失效/破损特征，创新地制定了相场演化。我们进一步开发了新的热力学自由能分解策略，该策略与用于岩石动态破坏和破损分析的已知经典 JH2 本构模型一致。为了获得稳定的解，我们在线性动量平衡和相场演化的动态方程中采用交错时间积分策略。几个数值例子不仅可以进行定量和定性验证，而且可以深入了解爆破引起的岩体动态破坏和破碎机制。