论文标题

地质材料中摩擦剪切裂缝的相位模型

A phase-field model of frictional shear fracture in geologic materials

论文作者

Fei, Fan, Choo, Jinhyun

论文摘要

断层和滑动表面等地质剪切裂缝涉及沿着不连续性的明显摩擦,因为它们遭受了巨大的狭窄压力。这种摩擦在这些剪切骨折的生长中起着至关重要的作用,正如几十年前帕尔默(Palmer)和赖斯(Rice)的断裂力学理论所揭示的那样。在本文中,我们开发了一种新型的剪切裂缝中的新相田模型,以尊重摩擦在裂缝传播机制中的作用。在最近提出的摩擦接口的相位场方法的基础上,我们为不同的接触条件(或缺乏摩擦条件)制定了一组管理方程,其中摩擦能量耗散在裂缝驱动力中出现在裂纹驱动力中。然后,我们得出相位场模型的降解函数和阈值断裂能,以使应力 - 应变行为对相位场正则化的长度参数不敏感。该推导过程扩展了一种在凝聚力拉伸裂缝的近期相场模型中使用的方法,以在摩擦材料中剪切裂缝,在摩擦材料中,峰值和残留强度通过限制压力共存并进化。所得的相田配方明显与帕尔默和大米的理论一致。数值示例表明,提出的相位场模型是一种物理上声音和数值有效的方法,用于模拟地质材料中的剪切断裂过程,例如断层和滑动表面生长。

Geologic shear fractures such as faults and slip surfaces involve marked friction along the discontinuities as they are subjected to significant confining pressures. This friction plays a critical role in the growth of these shear fractures, as revealed by the fracture mechanics theory of Palmer and Rice decades ago. In this paper, we develop a novel phase-field model of shear fracture in pressure-sensitive geomaterials, honoring the role of friction in the fracture propagation mechanism. Building on a recently proposed phase-field method for frictional interfaces, we formulate a set of governing equations for different contact conditions (or lack thereof) in which frictional energy dissipation emerges in the crack driving force during slip. We then derive the degradation function and the threshold fracture energy of the phase-field model such that the stress-strain behavior is insensitive to the length parameter for phase-field regularization. This derivation procedure extends a methodology used in recent phase-field models of cohesive tensile fracture to shear fracture in frictional materials in which peak and residual strengths coexist and evolve by confining pressure. The resulting phase-field formulation is demonstrably consistent with the theory of Palmer and Rice. Numerical examples showcase that the proposed phase-field model is a physically sound and numerically efficient method for simulating shear fracture processes in geologic materials, such as faulting and slip surface growth.

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