A method is proposed to model failure under shock loading. Finite Volume schemes are known to be efficient to take into account the density variations in the shock regions. The proposed method, called eXtended Finite Volume (XFV), is able to model failure in a finite volume framework. The material degradation is modeled using a cohesive zone model to dissipate the amount of energy required to create new surfaces. The XFV method allows to locate the cohesive surface inside elements and to introduce a displacement jump inside the cracked cells without remeshing, in an explicit dynamics finite volume framework. Attention is paid to the mass lumping and scheme stability. The XFV method is validated to simulate a plate impact experiment. It shows the ability to reproduce spall patterns and free surface velocities. However, numerical stability issues still need to be fixed before being able to compare the simulation with experimental data.

中文翻译：

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用于模拟冲击载荷下延性材料失效的丰富有限体积公式

提出了一种在冲击载荷下模拟失效的方法。众所周知，有限体积方案可以有效地考虑冲击区域的密度变化。所提出的方法称为扩展有限体积 (XFV)，能够在有限体积框架中对故障进行建模。使用内聚区模型对材料退化进行建模，以耗散创建新表面所需的能量。XFV 方法允许在显式动力学有限体积框架中定位单元内部的粘性表面并在不重新网格化的情况下在破裂单元内部引入位移跳跃。注意质量集中和方案稳定性。XFV 方法经验证可模拟板碰撞实验。它显示了重现剥落模式和自由表面速度的能力。然而，