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Peridynamic Analysis of Cracked Beam Under Impact

Published online by Cambridge University Press:  07 May 2020

M. J. Akbari  and
S. R. Kazemi Open the ORCID record for S. R. Kazemi [Opens in a new window]
M. J. Akbari
Affiliation:
Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran
S. R. Kazemi*
Affiliation:
Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran
*
*Corresponding author (kazemi@guilan.ac.ir)
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Abstract

Specific conditions at the tip of a crack and discontinuities in a material are the challenges in analyzing the growth of cracks using conventional methods. In recent years, a method has been developed based on the non-local mechanics, called peridynamic theory, which has improved the analysis process of such structures. In this theory, the points of matter whose displacement or displacement derivatives are discontinuous are not distinguished from other material points. In this paper, we employed the bond-based peridynamic theory to investigate the rate of crack propagation and the path of crack growth in a beam with an initial crack due to low velocity impact. Two beams made of polymethyl-methacrylate (PMMA) and steel alloy with different projectile shapes were considered. The effects of changes in the impact velocity and the fracture toughness were studied and the obtained results were validated with other conducted studies. The crack path was predicted successfully and the branching of the crack was captured. The results confirm the ability of the peridynamic theory to model the crack growth in impact problems.

Keywords

PeridynamicImpactCrackBeam
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 4 , August 2020 , pp. 451 - 463
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

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