Shock waves in geological materials are characterized by a sudden release of rapidly expanding gas, liquid, and solid particles. These shock waves may occur due to explosive volcanic eruptions or be artificially triggered. In fact, underground explosions have often been used as an engineering solution for large‐scale excavation, stimulating oil and gas recovery, creating cavities for underground waste storage, and even extinguishing gas field fires. As such, hydrocodes capable of simulating the rapid and significant deformation under extreme conditions can be a valuable tool for ensuring the safety of the explosions. Nevertheless, as most of the hydrocodes are often formulated in an Eulerian grid, this setting makes it non‐trivial to track the deformation configuration of the materials without a level set. The objective of this paper is to propose the use of the material point method equipped with appropriate equation of state (EOS) models as a hydrocode suitable to simulate underground explosions of transverse isotropic geomaterials. To capture the anisotropic effect of the common layered soil deposits, we introduce a new MPM hydrocode where an anisotropic version of the Mie‐Gruneisen EOS is coupled with a frictional Drucker‐Prager plasticity model to replicate the high‐strain‐rate constitutive responses of soil. By leveraging the Lagrangian nature of material points to capture the historical dependence and the Eulerian calculation of internal force, the resultant model is capable of simulating the rapid evolution of geometry of the soil as well as the high‐strain‐rate soil mechanics of anisotropic materials.

中文翻译：

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用于模拟横观各向同性岩土材料埋藏爆炸的 MPM 拉格朗日-欧拉水电编码

地质材料中的冲击波的特征是快速膨胀的气体、液体和固体颗粒的突然释放。这些冲击波可能是由于火山喷发或人为触发而产生的。事实上，地下爆炸经常被用作大规模挖掘、刺激石油和天然气回收、为地下废物储存创造洞穴、甚至扑灭气田火灾的工程解决方案。因此，能够模拟极端条件下快速且显着变形的液压编码器可以成为确保爆炸安全的宝贵工具。然而，由于大多数水编码通常在欧拉网格中制定，因此这种设置使得在没有水平集的情况下跟踪材料的变形配置变得非常重要。本文的目的是提出使用配备适当状态方程（EOS）模型的物质点方法作为适合模拟横向各向同性岩土材料地下爆炸的水文代码。为了捕捉常见层状土壤沉积物的各向异性效应，我们引入了一种新的 MPM 水电编码，其中 Mie-Gruneisen EOS 的各向异性版本与摩擦 Drucker-Prager 塑性模型相结合，以复制土壤的高应变率本构响应。通过利用物质点的拉格朗日性质来捕获历史依赖性和内力的欧拉计算，所得模型能够模拟土壤几何形状的快速演化以及各向异性材料的高应变率土壤力学。