Peridynamic modelling of impact damage in three-point bending beam with offset notch

doi:10.1007/s10483-017-2158-6

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (1): 99-110.doi: https://doi.org/10.1007/s10483-017-2158-6

Peridynamic modelling of impact damage in three-point bending beam with offset notch

Ning LIU¹, Dahsin LIU², Wu ZHOU²

1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;
2. Department of Mechanical Engineering, Michigan State University, East Lansing 48823, U. S. A

收稿日期:2016-04-20 修回日期:2016-08-01 出版日期:2017-01-01 发布日期:2017-01-01
通讯作者: Ning LIU,E-mail:liunieng@gmail.com E-mail:liunieng@gmail.com
基金资助:
Project supported by the Natural Science Foundation of Jiangsu Province (No. BK20140789) and the Fundamental Research Funds for the Central Universities (No. 30915118826)

Peridynamic modelling of impact damage in three-point bending beam with offset notch

Ning LIU¹, Dahsin LIU², Wu ZHOU²

1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;
2. Department of Mechanical Engineering, Michigan State University, East Lansing 48823, U. S. A

Received:2016-04-20 Revised:2016-08-01 Online:2017-01-01 Published:2017-01-01
Contact: Ning LIU E-mail:liunieng@gmail.com
Supported by:
Project supported by the Natural Science Foundation of Jiangsu Province (No. BK20140789) and the Fundamental Research Funds for the Central Universities (No. 30915118826)

摘要/Abstract

摘要：

The nonlocal peridynamic theory has been proven to be a promising method for the material failure and damage analyses in solid mechanics. Based upon the integrodifferential equations, peridynamics enables predicting the complex fracture phenomena such as spontaneous crack nucleation and crack branching, curving, and arrest. In this paper, the bond-based peridynamic approach is used to study the impact damage in a beam with an offset notch, which is widely used to investigate the mixed I-II crack propagation in brittle materials. The predictions from the peridynamic analysis agree well with available experimental observations. The numerical results show that the dynamic fracture behaviors of the beam under the impact load, such as crack initiation, curving, and branching, rely on the location of the offset notch and the impact speed of the drop hammer.

关键词: crack propagation, peridynamics, fracture mode, impact damage

Abstract:

Key words: fracture mode, crack propagation, impact damage, peridynamics

中图分类号:

Ning LIU, Dahsin LIU, Wu ZHOU. Peridynamic modelling of impact damage in three-point bending beam with offset notch[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(1): 99-110.

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Peridynamic modelling of impact damage in three-point bending beam with offset notch

Peridynamic modelling of impact damage in three-point bending beam with offset notch

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