摩擦界面波动效应的数值模拟

刘永贵; 惠蒙蒙; 沈玲燕

doi:10.11858/gywlxb.20220513

摩擦界面波动效应的数值模拟

doi: 10.11858/gywlxb.20220513

河南理工大学工程力学系, 河南焦作　454000

基金项目: 河南省高校基本科研业务费（NSFRF210322）

详细信息

作者简介:
刘永贵（1982-），男，博士，讲师，主要从事波动力学研究. E-mail：liuyongg@hpu.edu.cn

通讯作者:
沈玲燕（1984-），女，博士，讲师，主要从事冲击动力学研究. E-mail：lyshen@hpu.edu.cn

中图分类号: O346
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出版历程
- 收稿日期: 2022-02-17
- 修回日期: 2022-03-09
- 录用日期: 2022-02-17
- 刊出日期: 2022-10-11

Numerical Study on Wave Effect of the Frictional Interface

Department of Engineering Mechanics, Henan Polytechnic University, Jiaozuo 454000, Henan, China

摘要

摘要: 界面摩擦是一种普遍的自然现象。基于摩擦的界面微接触断裂机制，采用线弹性本构关系和D-P破坏准则，建立了包含三角形微凸起的二维界面摩擦模型，采用有限元分析对入射波和摩擦界面的相互作用进行数值模拟。结果表明：在主动加载的微过程中，界面存在显著的应力波动及精细结构特征，波阵面在界面近区域内的演化具有对称扩散性，应力扰动作用于界面微凸起可诱发其断裂，从而以断裂面为中心形成纵波、横波和界面波结构。一个有趣的现象是，在加载的瞬间，界面几乎同步产生了微应力扰动，以纵波形式向基体内传播，更多比较算例和分析证实该扰动产生的物理机制同作用在界面的整体重力微调整有关。该工作揭示了摩擦早期的界面波动效应及其微断裂机制，有望为地震预测提供新的有效途径，从而实现将地震预测时间提前。
- 波动力学 /
- 界面摩擦 /
- 模拟分析 /
- 断裂 /
- 地震预测
Abstract: Interface friction is a common natural phenomenon. Based on the micro-contact fracture mechanism of friction, a two-dimensional interface friction model including a triangular micro bulge is established with linear elastic constitutive relationship and D-P failure criterion. The early dynamic behavior of the interface under transient loading is numerically calculated and analyzed by the finite element simulation method. The research shows that in the micro process of loading, there exist significant stress fluctuations and fine structure characteristics at frictional interfaces. The evolution of the wavefront in the near region of the interface has symmetrical diffusion. The interaction of the incoming stress disturbance and the micro bulge will induce the fracture of the bulge, resulting in a three-wave profile centered on the fracture surface: longitudinal wave, transverse wave, and interface wave. A new interesting phenomenon is that at the moment of loading, a micro stress disturbance is generated synchronously from the interface and propagates to the substrate in the form of longitudinal waves. More comparative examples and analysis show that the mechanism of this disturbance is related to the overall gravity micro-adjustment acting on the interface. This work reveals the early wave effect of interface friction and its micro fracture mechanism, which is expected to provide an effective way for earthquake prediction and to advance the earthquake prediction time.
- wave mechanics /
- interface friction /
- simulation /
- fracture /
- earthquake prediction

HTML全文

图 1 摩擦界面模型

Figure 1. Friction interface model

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图 2 Part-1上界面单元的波动特征

Figure 2. Wave structure of interface elements at Part-1

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图 3 Part-2下界面单元的波动特征

Figure 3. Wave structure of interface at Part-2

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图 4 应力波的传播及演化

Figure 4. Propagation pattern of stress wave in space-time

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图 5 微凸起的断裂过程云图

Figure 5. Stress nephogram of micro bulge fracture process

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图 6 微凸起断裂的波动效应

Figure 6. Wave effect induced by micro bulge fracture

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图 7 微凸起正上方单元的应力扰动

Figure 7. Stress disturbance of elements directly above the micro bulge

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图 8 基于特征线理论的波结构

Figure 8. Wave structure based on characteristic line theory

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图 9 t=0.315 μs时3个应力扰动的波阵面形状

Figure 9. Wave fronts of three stress disturbances （t=0.315 μs）

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图 10 σ₂₂波的精细结构

Figure 10. Fine structure of σ₂₂ wave

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图 11 界面性能对新纵波扰动的影响

Figure 11. Effect of frictional interface properties

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图 12 界面新纵波扰动的形成机制

Figure 12. Mechanism of interfacial longitudinal wave

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图 13 地震波结构模拟

Figure 13. Simulation of seismic wave profile

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表 1 计算材料参数

Table 1. Material parameters for calculation

Density/ (kg·m⁻³)	Elastic modulus/GPa	Shear modulus/GPa	P wave velocity/(m·s^–1)	S wave velocity/(m·s^–1)	Friction coefficient	Internal friction angle/(°)
2300	62.8	24.1	5225	3237	0.1	44

Expansion angle/(°)	Hardening coefficient	Fracture strain	Tensile strength/MPa	Cohesion strength/MPa	Shear stress ratio	Absolute plastic strain
0	6.98	0.0075	3.5	8	0.33	0

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