冲击荷载作用下泊松比对脆性材料破坏影响的近场动力学分析

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (20) : 204-215.

论文

黄小华，李双，金艳丽，叶兆青

作者信息 +

Effect of Poisson’s ratio on the fracture of brittle materials under impact loading via peridynamics

HUANG Xiaohua,LI Shuang,JIN Yanli,YE Zhaoqing

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文章历史 +

摘要

键基近场动力学（peridynamic，PD）方法已证实能模拟固体材料中裂纹自发地萌生和扩展，但存在特定泊松比的限制。提出了单键双参数键基PD模型，它继承了传统键基PD简单性、稳定性等特点，并拓展了泊松比的适用范围。通过变形的静力定量计算、冲击荷载作用下Kalthoff-Winkler试验等裂纹扩展过程的模拟，验证了该模型。进一步就平行双裂纹薄板的冲击破坏现象，研究了泊松比对其破坏的影响。结果表明：冲击荷载一定时，材料泊松比的增大，会导致薄板起裂提前，其抗冲击破坏能力变弱，同时泊松比改变破坏路径致使薄板贯通延迟，破坏总时间延长，贯通速度降低；冲击荷载较大时，泊松比的变化会对平行双裂纹脆性薄板的裂纹扩展路径产生明显影响。

Abstract

The bond-based peridynamics has been shown to simulate the spontaneous initiation and propagation of cracks in solid materials, but there is a limit on the fixed Poisson’s ratio. A two-parameter bond-based PD method was proposed, which inherits the simplicity and stability of the traditional PD and expands the range of Poisson’s ratio. The model was verified by the quantitative calculation of static deformation and simulation of the crack propagation process such as the Kalthoff-Winkler test under impact loading. Furthermore, the effect of Poisson’s ratio on the fracture of parallel double cracked plates was studied. The results show that when the impact loading is constant, increase in Poisson’s ratio of brittle material will result in earlier initiation of cracks, and its impact resistance is weaken. Poisson’s ratio changes crack propagation path of the plate, which prolongs the time of fracture and reduces the penetration velocity. When impact loading is large, Poisson’s ratio will have significant influence on crack propagation path of the parallel double cracks brittle material.

导出引用

黄小华，李双，金艳丽，叶兆青. 冲击荷载作用下泊松比对脆性材料破坏影响的近场动力学分析[J]. 振动与冲击, 2020, 39(20): 204-215

HUANG Xiaohua,LI Shuang,JIN Yanli,YE Zhaoqing. Effect of Poisson’s ratio on the fracture of brittle materials under impact loading via peridynamics[J]. Journal of Vibration and Shock, 2020, 39(20): 204-215

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