脆性材料动态断裂的介观格子模型

喻寅; 李媛媛; 贺红亮; 王文强

doi:10.11858/gywlxb.20190707

脆性材料动态断裂的介观格子模型

doi: 10.11858/gywlxb.20190707

中国工程物理研究院流体物理研究所冲击波物理与爆轰物理重点实验室，四川绵阳　621999

基金项目: 国家自然科学基金（11602244，11772090）；冲击波物理与爆轰物理重点实验室装发部预研基金（6142A03020204）；国防科技工业局稳定支持科研项目（LSD-KB1805）

详细信息

作者简介:
喻　寅（1986－），男，博士，副研究员，主要从事脆性材料的动态变形和断裂研究. E-mail: yuyun86@caep.cn

中图分类号: O369; O346
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出版历程
- 收稿日期: 2019-01-10
- 修回日期: 2019-03-25
- 刊出日期: 2019-08-25

Mesoscale Lattice Model for Dynamic Fracture of Brittle Materials

National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang 621999, China

摘要

摘要: 岩石、陶瓷、玻璃、固体炸药等脆性材料在爆炸与冲击施加的强动载荷作用下易发生迅速的裂纹扩展和灾难性的断裂破碎，造成材料、器件、装置的功能失效和事故危害。理解脆性断裂过程中介观裂纹网络演化与宏观动态响应的关联是提升脆性材料可靠性和安全性的关键，但同时也是计算建模与数值模拟研究面临的难点。为了解决爆炸与冲击加载下脆性材料中裂纹网络随机萌生、裂纹面挤压摩擦、大量裂纹交错扩展等复杂过程带来的算法困难，一种无网格/粒子方法—“格子模型”得到了持续的关注和长足的发展。本文综述了格子模型的原理和方法，介绍了运用格子模型开展脆性断裂研究的代表性成果，分析了格子模型存在的不足与改进的方向。
- 格子模型 /
- 脆性材料 /
- 动态断裂 /
- 裂纹网络 /
- 无网格方法
Abstract: Rapid crack propagation and catastrophic fragmentation frequently occur in brittle materials, such as rocks, ceramics, glass and solid explosives, under intense dynamic loading imposed by the explosion and impact. Understanding the correlation between the evolution of mesoscopic crack network and the macroscopic dynamic response plays a key role to improve the reliability and the safety of brittle materials, while it still poses a great challenge to such modeling and simulation. In order to overcome the algorithm difficulties caused by complex processes, such as the random initiation of crack network, the extrusion and friction of crack surfaces, and the staggered propagation of a large number of cracks in brittle materials subjected to explosion and impact loading, the lattice model, one of meshfree methods, has received sustained attention and considerable development. In this paper, we introduce the theory and implement of the lattice model and its representative results on brittle fracture research. Its shortcomings and the direction of improvement have also been discussed.
- lattice model /
- brittle materials /
- dynamic fracture /
- crack network /
- meshfree method

HTML全文

图 1 格子模型示意图

Figure 1. Schematic of the lattice model

下载: 全尺寸图片幻灯片

图 2 格子模型中网格、微结构、缺陷设定示意图

Figure 2. Representatives of spring networks, microstructures and defects in the lattice model

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图 3 橡胶薄膜裂纹扩展的格子模型：（a）格点间的最近邻与次近邻相互作用，（b）不考虑次近邻作用时裂纹直线传播，（c）考虑次近邻作用以表现非局域效应后裂纹扩展路径出现正弦形振荡

Figure 3. Lattice model for the crack propagation in a rubber film: (a) the interaction among the nearest lattices and the next nearest neighbors; (b) the crack propagates linearly when the interaction with the next nearest neighbor were ignored; (c) the crack propagates oscillatorily when the nonlocal effect contributed by the next nearest neighbors was modeled

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图 4 格子模型和有限元网格结合示意图（a），炸药模型图（b）（其中蓝色基体为黏结剂，红色颗粒为炸药晶体），应力波扫过后黏结剂与炸药晶粒的摩擦升温（c）

Figure 4. (a) Schematic of a model combined by lattice model and finite element method; (b) the model of polymer-bonded explosives (Blue matrix represent binder, red particles represent HMX crystals); (c) the temperature rise induced by the friction between explosive particles and binders under dynamic loading

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图 5 裂纹扩展、气体扩散和燃烧反应耦合的格子模型计算结果

Figure 5. Simulations of crack extension, gas diffusion and combustion by lattice model

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图 6 多孔陶瓷冲击破坏的介观机制和宏观特征

Figure 6. Mesoscopic deformation and macroscopic response of shocked porous ceramics

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