Perforation study of steel sheet under high velocity impact using Peridynamic theory

Document Type : Research Article

Authors

1 Faculty of Mechanical Engineering, University of Guilan, Guilan, Iran.

2 Faculty of New Sciences and Technologies, Semnan University, Semnan, Iran.

Abstract

Peridynamic theory is a new method to model material behavior under impact loading. The simplest type of this method is called bond-based peridynamics. The present study is concerned with the modification of the bond-based peridynamic theory to account for inelastic behavior and the modified theory is used to study the dynamic fracture of plates, made of ductile materials, due to impact.  This theory assumes that the bonds between two points can bear stretches more than the yield stretch. In this regard, The modified bond-based theory is used to study the effect of penetration, resulting from the impact of a projectile into a rectangular steel sheet. The results are validated against experimental results, and the crack growth and its propagation paths are studied for different geometric shapes and impact velocities of the projectiles. The results show that with this modification, the bond-based peridynamics could be employed more inclusively to simulate the behavior of materials.

Keywords

Main Subjects

References

[1] B.N. Cox, H. Gao, D. Gross, D. Rittel, Modern topics and challenges in dynamic fracture, Journal of the Mechanics and Physics of Solids, 53(3) (2005) 565-596.
[2] S.A. Mousavizadeh, M. Hosseini, H. Hatami, Experimental Studies on Energy Absorption of Curved Steel Sheets under Impact Loading and the Effect of Pendentive on the Deformation of Samples, Journal of Modeling in Engineering, 18(63) (2021) 27-40.
[3] H. Sepahvand, M. Hosseini, H. Hatami, Experimental and Numerical Investigation on Concrete Specimens with Expanded Metal Sheet under Impact Loading, Journal of Applied and Computational Sciences in Mechanics, 32(1) (2021) 211-230.
[4] R. Azarafza, A. Davar, Analysis and Optimization of Fibre-Metal Laminate Cylindrical Shells Subjected to Transverse Impact Loads, AUT Journal of Mechanical Engineering, 4(4) (2020) 535-552.
[5] S. Sadeghnejad, Y. Taraz Jamshidi, M. Sadighi, On the Low-Velocity Impact and Quasi-Static Indentation Studies of Nomex Honeycomb Composite Sandwich Panels, AUT Journal of Mechanical Engineering, 3(2) (2019) 243-254.
[6] G.I. Barenblatt, The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks, Journal of Applied Mathematics and Mechanics, 23(3) (1959) 622-636.
[7] J. Dolbow, T. Belytschko, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, 46(1) (1999) 131-150.
[8] T. Belytschko, T. Black, Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, 45(5) (1999) 601-620.
[9] S.A. Silling, E. Askari, A meshfree method based on the peridynamic model of solid mechanics, Computers & Structures, 83(17-18) (2005) 1526-1535.
[10] S.A. Silling, Reformulation of elasticity theory for discontinuities and long-range forces, Journal of the Mechanics and Physics of Solids, 48(1) (2000) 175-209.
[11] P. Seleson, M.L. Parks, M. Gunzburger, R.B. Lehoucq, Peridynamics as an upscaling of molecular dynamics, Multiscale Modeling & Simulation, 8(1) (2009) 204-227.
[12] S.A. Silling, E. Askari, Peridynamic modeling of impact damage, in:  ASME/JSME 2004 Pressure Vessels and Piping Conference, American Society of Mechanical Engineers, 2004, pp. 197-205.
[13] J. Xu, A. Askari, O. Weckner, S. Silling, Peridynamic analysis of impact damage in composite laminates, Journal of Aerospace Engineering, 21(3) (2008) 187-194.
[14] S.R. Kazemi, Plastic deformation due to high-velocity impact using ordinary state-based peridynamic theory, International Journal of Impact Engineering, 137 (2020) 103470.
[15] F. Bobaru, Y.D. Ha, W. Hu, Damage progression from impact in layered glass modeled with peridynamics, Central European Journal of Engineering, 2(4) (2012) 551-561.
[16] E. Oterkus, I. Guven, E. Madenci, Impact damage assessment by using peridynamic theory, Central European Journal of Engineering, 2(4) (2012) 523-531.
[17] N. Liu, D. Liu, W. Zhou, Peridynamic modelling of impact damage in three-point bending beam with offset notch, Applied Mathematics and Mechanics, 38(1) (2017) 99-110.
[18] B. Chen, N. Liu, G. Yang, The application of peridynamics in predicting beam vibration and impact damage, Journal of Vibroengineering, 17(5) (2015).
[19] J. Lee, W. Liu, J.-W. Hong, Impact fracture analysis enhanced by contact of peridynamic and finite element formulations, International Journal of Impact Engineering, 87 (2016) 108-119.
[20] S.A. Silling, M.L. Parks, J.R. Kamm, O. Weckner, M. Rassaian, Modeling shockwaves and impact phenomena with Eulerian peridynamics, International Journal of Impact Engineering, 107 (2017) 47-57.
[21] C. Sun, Z. Huang, Peridynamic simulation to impacting damage in composite laminate, Composite Structures, 138 (2016) 335-341.
[22] G. Zhang, G.A. Gazonas, F. Bobaru, Supershear damage propagation and sub-Rayleigh crack growth from edge-on impact: A peridynamic analysis, International Journal of Impact Engineering, 113 (2018) 73-87.
[23] Y. Song, H. Yu, Z. Kang, Numerical study on ice fragmentation by impact based on non-ordinary state-based peridynamics, Journal of Micromechanics and Molecular Physics, (2018).
[24] F. Baber, V. Ranatunga, I. Guven, Peridynamic modeling of low-velocity impact damage in laminated composites reinforced with z-pins, Journal of Composite Materials, (2018) 0021998318774100.
[25] W. Zhou, D. Liu, Analyzing impact induced delamination in laminated composite materials with peridynamic modeling, in:  2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018, pp. 1219.
[26] J. Zheng, F. Shen, X. Gu, Q. Zhang, Simulating failure behavior of reinforced concrete T-beam under impact loading by using peridynamics, International Journal of Impact Engineering, 165 (2022) 104231.
[27] L. Wu, D. Huang, Energy dissipation study in impact: From elastic and elastoplastic analysis in peridynamics, International Journal of Solids and Structures, 234 (2022) 111279.
[28] Y. Jafaraghaei, T. Yu, T.Q. Bui, Peridynamics simulation of impact failure in glass plates, Theoretical and Applied Fracture Mechanics, 121 (2022) 103424.
[29] M. Sun, L. Liu, H. Mei, X. Lai, X. Liu, J. Zhang, A Bond-Based Peridynamic Model with Matrix Plasticity for Impact Damage Analysis of Composite Materials, Materials, 16(7) (2023) 2884.
[30] W. Liu, J.W. Hong, Discretized peridynamics for brittle and ductile solids, International Journal for Numerical Methods in Engineering, 89(8) (2012) 1028-1046.
[31] E. Madenci, E. Oterkus, Peridynamic theory and its applications, Springer, 2014.
[32] K.M. Kpenyigba, T. Jankowiak, A. Rusinek, R. Pesci, Influence of projectile shape on dynamic behavior of steel sheet subjected to impact and perforation, Thin-Walled Structures, 65 (2013) 93-104.
[33] A. Rusinek, J.A. Rodríguez-Martínez, R. Zaera, J.R. Klepaczko, A. Arias, C. Sauvelet, Experimental and numerical study on the perforation process of mild steel sheets subjected to perpendicular impact by hemispherical projectiles, International Journal of Impact Engineering, 36(4) (2009) 565-587.
AUT Journal of Mechanical Engineering
Volume 7, Issue 2
June 2023
Pages 175-184

Files

Share

How to cite

Statistics