A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones.
A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones.
复制标题
弥散性断裂区域中非线性动态破裂过程的统一的一阶双曲模型。
DOI：
10.1098/rsta.2020.0130
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发表时间：
2021-05-03
期刊：
影响因子：
--
通讯作者：
Dumbser M
中科院分区：
文献类型：
--
作者：
Gabriel AA;Li D;Chiocchetti S;Tavelli M;Peshkov I;Romenski E;Dumbser M
地震断层带在几何和流变学上都比嵌入线弹性材料的理想无限薄平面复杂得多。为了综合考虑材料的非线性行为、自然复杂性和断裂带内外的多物理耦合，本文提出了一个重力场中连续介质的一阶双曲热力学相容数学模型，该模型统一描述了非线性弹塑性、材料损伤和具有固液相变的粘性牛顿流动。断层几何和二次裂纹用标量函数ξ ∈ [0，1]来描述，该函数表示材料损伤的局部水平。该模型还允许通过基于固体体积分数函数α ∈ [0，1]的扩散界面方法来表示任意复杂的几何形状。两个标量场ξ和α都不需要网格对齐，因此允许具有复杂拓扑的断层和裂缝，并使用自适应笛卡尔网格(AMR)。该模型与相场方法具有共同的特征，但实质上是对它们的扩展。我们展示了与断裂带动态地震破裂相关的广泛的数值应用，包括断层外次级剪切裂缝的同震产生，巴西圆盘试验中的拉伸岩石破裂，以及熔岩类材料中的自然对流问题。本文是《固体材料的断裂动力学：从颗粒到球体》主题的一部分。
Earthquake fault zones are more complex, both geometrically and rheologically, than an idealized infinitely thin plane embedded in linear elastic material. To incorporate nonlinear material behaviour, natural complexities and multi-physics coupling within and outside of fault zones, here we present a first-order hyperbolic and thermodynamically compatible mathematical model for a continuum in a gravitational field which provides a unified description of nonlinear elasto-plasticity, material damage and of viscous Newtonian flows with phase transition between solid and liquid phases. The fault geometry and secondary cracks are described via a scalar function ξ ∈ [0, 1] that indicates the local level of material damage. The model also permits the representation of arbitrarily complex geometries via a diffuse interface approach based on the solid volume fraction function α ∈ [0, 1]. Neither of the two scalar fields ξ and α needs to be mesh-aligned, allowing thus faults and cracks with complex topology and the use of adaptive Cartesian meshes (AMR). The model shares common features with phase-field approaches, but substantially extends them. We show a wide range of numerical applications that are relevant for dynamic earthquake rupture in fault zones, including the co-seismic generation of secondary off-fault shear cracks, tensile rock fracture in the Brazilian disc test, as well as a natural convection problem in molten rock-like material. This article is part of the theme issue ‘Fracture dynamics of solid materials: from particles to the globe’.
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影响因子：
2.9
作者：
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通讯作者：
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通讯作者：
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