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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 ([email protected])
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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

REFERENCES

Xuefeng, Y., Chunyang, X. and Jing, F., “Study of dynamic fracture behavior on three-point-bend beam with off-center edge-crack,” China Academic Journal Electronic Publishing House, 9(6), pp.661–669 (1996).Google Scholar
Loya, J. A., Villa, E. I. and Fernandez-Saez, J., “Crack-front propagation during three-point-bending tests of polymethyl-methacrylate beams,” Polymer Testing, 29(1), pp.113–118 (2009).CrossRefGoogle Scholar
Zehnder, A.T. and Rosakis, A. J., “Dynamic fracture initiation and propagation in 4340 steel under impact loading,” International Journal of Fracture, 43, pp.271–285 (1990).CrossRefGoogle Scholar
Zhou, W., Liu, D., XNguyen, H. and Huang, W., “Dynamic Fracture Process during Three- Point-Bending Impact on polymethyl-methacrylate Beams,” Global Journal of Researches in Engineering: A Mechanical and Mechanics Engineering, 17(3) (2017).Google Scholar
Chakraborty, S. and Shaw, A., “A pseudo-spring based fracture model for SPH simulation of impact dynamics,” International Journal of Impact Engineering, 58, pp.84–95 (2013).CrossRefGoogle Scholar
Silling, S. A., “Reformulation of elasticity theory for discontinuities and long-range forces,” Journal of the Mechanics and Physics of Solids, 48(1), pp.175–209 (2000).CrossRefGoogle Scholar
Agwai, A., Guven, I. and Madenci, E., “Predicting crack propagation with peridynamics:a comparative study,” International Journal of Fracture, 171(1), pp.65–78 (2011).CrossRefGoogle Scholar
Doh Ha, Y. and Bobaru, F., “Studies of dynamic crack propagation and crack branching with peridynamics,” International Journal of Fracture, 162, pp.229–244 (2010).Google Scholar
Liu, N., Liu, D. and Zhou, W., “Peridynamic modelling of impact damage in three-point bending beam with offset notch,” Applied Mathematics and Mechanics. English Edition 38(1), pp.99–110 (2017).CrossRefGoogle Scholar
Askari, E. and Xu, J., “Peridynamic Analysis of Damage and Failure in Composites,” Aerospace Sciences Meeting and Exhibit, (2006).CrossRefGoogle Scholar
Kazemi, S. R. and Shakouri, M., Effects of the speed of applying loads on the growth of inclined crack in plates using Peridynamic theory. “Journal Mechanical Engineering modares,” 17(1), pp.403–412 (2017).Google Scholar
Madenci, E. and Oterkus, E., “Peridynamic theory and its applications”, New York: Springer (2014).CrossRefGoogle Scholar
Ortiz, M. and Pandolfi, A., “Finite deformation irreversible cohesive elements for three dimensional crack propagation analysis,” International Journal for Numerical Methods in Engineering, 44, pp.1267–1282 (1999).3.0.CO;2-7>CrossRefGoogle Scholar
Ortiz, M., Pandolfi, A. and Gudurub, P.R., “Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel,” International Journal of Solids and Structures, 37, pp. 3733–3760 (2000).Google Scholar