脆性聚甲基丙烯酸甲酯板动态裂纹传播有限元模拟

doi:10.3969/j.issn.1000-1093.2014.06.018

兵工学报 ›› 2014, Vol. 35 ›› Issue (6): 872-878.doi: 10.3969/j.issn.1000-1093.2014.06.018

脆性聚甲基丙烯酸甲酯板动态裂纹传播有限元模拟

张振亚，麻鸳鸳，周风华

(宁波大学冲击与安全工程教育部重点实验室, 浙江宁波 315211)

收稿日期:2013-08-12 修回日期:2013-08-12 上线日期:2014-07-24
作者简介:张振亚（1978—），男，博士研究生
基金资助:
教育部博士点基金项目（20123305110005），非线性力学国家重点实验室开放研究课题（2013年）；冲击与安全工程教育部

Finite Element Simulation of Dynamic Crack Propagation in Brittle PMMA Plates

ZHANG Zhen-ya, MA Yuan-yuan， ZHOU Feng-hua

(MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo 315211, Zhejiang, China)

Received:2013-08-12 Revised:2013-08-12 Online:2014-07-24

摘要/Abstract

摘要： 开发了包含内聚力单元模型的用户材料子程序,嵌入商用有限元软件ABAQUS，采用显式求解模块模拟预加载的脆性聚甲基丙烯酸甲酯（PMMA）板中动态裂纹传播行为。在模拟过程中采用了刚性线性衰减的内聚力准则，分别考虑了率无关和率相关两种情况。模拟结果表明：在相同的预加载荷下，采用率无关内聚力模型计算的裂纹传播速度在绝大部分情况下大于实验测试值，只在高速时二者基本一致；采用率相关内聚力模型，所得到的模拟结果与实验结果基本吻合，这说明率相关内聚力模型可以反映快速裂纹传播时的裂纹尖端复杂率过程。

关键词: 固体力学, 内聚力单元, 动态断裂, ABAQUS, 聚甲基丙烯酸甲酯, 率相关内聚力断裂模型

Abstract: A user-defined material mechanical behavior subroutine (VUMAT) is developed to incorporate it into ABAQUS for numerically simulating the propagation of dynamic cracks in the preloaded brittle PMMA plates. The initial-rigid, linear decay, and irreversible cohesive rule, rate-independence or rate-dependence, are adopted in the subroutine. The simulation results are compared with the experimental observations. It is shown that, in most cases, the crack propagation velocities simulated using a rate-independent cohesive law are greater than the experimental values under the prescribed preloading, except in the high crack velocity regime, when the numerical results are similar to the experimental data. A rate-dependent cohesive law is proposed. The numerical simulation results obtained by the rate-dependent cohesive law agree well with the experimental data in all test velocity range. It also confirmed that the utilization of a rate-dependent cohesive law is necessary for the simulations of brittle crack propagation, because it better describes the complex fracture process occurring in the tip zone of the fast propagating cracks.

Key words: solid mechanics, cohesive element, dynamic fracture, ABAQUS, PMMA, rate-dependent cohesive law

中图分类号:

TQ330.38

张振亚，麻鸳鸳，周风华. 脆性聚甲基丙烯酸甲酯板动态裂纹传播有限元模拟[J]. 兵工学报, 2014, 35(6): 872-878.

ZHANG Zhen-ya, MA Yuan-yuan， ZHOU Feng-hua. Finite Element Simulation of Dynamic Crack Propagation in Brittle PMMA Plates[J]. Acta Armamentarii, 2014, 35(6): 872-878.

参考文献

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脆性聚甲基丙烯酸甲酯板动态裂纹传播有限元模拟

Finite Element Simulation of Dynamic Crack Propagation in Brittle PMMA Plates

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