Temperature and Strain Rate Dependent Mechanical Properties of a Square Nickel Plate with Different Shaped Central Cracks: A Molecular Dynamics Study

Abstract:

Article Preview

In our present study, under uniaxial tension, atomistic simulations were conducted to explore the crack propagation mechanism of Square Nickel Plate (SNP) for two distinct shaped cracks (Rectangular and Circular) at center separately. Here, for modeling the inter-atomic potential between atoms, Embedded Atom Model (EAM) was used. In case of both types, the crack size was varied keeping a constant strain rate of 2×109 s-1 and temperature of 300 k for investigation of the effects of crack geometry and size on the behavior of crack propagation. Along with the size and geometry of crack, the effects of different strain rates (1×109, 2×109 and 4×109 s-1) and temperatures (300 K, 600 K and 900 k) were also studied. From the simulations, the declination nature of peak stress can be deduced for both of the geometries by increasing the crack size. It can also be concluded that when crack area was same, the peak stresses were higher in SNP with Circular crack than with the SNP with Rectangular one. Besides, increasing and decreasing nature of peak stress were found for two genres with the increment of strain rate and temperature separately.

Info:

Periodical:

Pages:

32-41

Citation:

T. D. Gupta et al., "Temperature and Strain Rate Dependent Mechanical Properties of a Square Nickel Plate with Different Shaped Central Cracks: A Molecular Dynamics Study", Journal of Nano Research, Vol. 55, pp. 32-41, 2018

Online since:

November 2018

Export:

Price:

$38.00

* - Corresponding Author

[1] M.F. Horstemeyer, M.I. Baskes, and S.J. Plimpton, Computational nanoscale plasticity simulations using embedded atom potentials,, Theoretical and Applied Fracture Mechanics, vol. 37 (2001) 49–98.

DOI: https://doi.org/10.1016/s0167-8442(01)00090-8

[2] Y.Q. Yuan, H. Y. Chen, X.G. Zeng, and Y. F.Hu, MD simulation on evolution of micro structure and failure mechanism around interactional voids in pure al,, Applied Mechanics and Materials, vol. 444-445 (2014) 183–190.

DOI: https://doi.org/10.4028/www.scientific.net/amm.444-445.183

[3] H. P. Chen, Deformation and micro fracture of granular bainite,,ACTA Metallurgica Sinica, vol. 28 (1992) 226–229.

[4] Y. Takahashi, T. Shikama, S. Yoshihara, T. Aiura, and H.Noguchi, Study on dominant mechanism of high-cycle fatigue life in 6061-T6 aluminum alloy through microanalyses of micro-structurally small cracks,, Acta Materialia, vol. 60 (2012) 2554–2567.

DOI: https://doi.org/10.1016/j.actamat.2012.01.023

[5] P. White, Molecular dynamic modelling of fatigue crack growth in aluminium using LEFM boundary conditions,, International Journal of Fatigue, vol. 44 (2012) 141–150.

DOI: https://doi.org/10.1016/j.ijfatigue.2012.05.005

[6] J. Ding. L. Wang, K .Song, B. Liu and X. Huang, Molecular dynamics simulation of crack propagation in Single–Crystal Aluminum Plate with central cracks,, Journal of Nanomaterials, vol. 2017, 5181206 (2017) 1-12.

DOI: https://doi.org/10.1155/2017/5181206

[7] S. Saha, S. Mojumder, M. Mahboob and M.Z. Islam, Effect of temperature and geometric parameters on elastic properties of tungsten nanowire: A molecular dynamics study,, in 11th International Conference on Mechanical Engineering, AIP conference Proceedings 1754, 030009, (2015).

DOI: https://doi.org/10.1063/1.4958353

[8] G.P. Potirniche, M.F. Horstemeyer, G. J. Wagner, and P. M. Gullett, A molecular dynamics study of void growth and coalescence in single crystal nickel,, International Journal of Plasticity, vol. 22 (2006) 257–278.

DOI: https://doi.org/10.1016/j.ijplas.2005.02.001

[9] M. Yaghoobi and G.Z. Voyiadjis, Size effects in fcc crystals during the high rate compression test,, Acta Materialia, vol. 121 (2016) 190–201.

DOI: https://doi.org/10.1016/j.actamat.2016.09.010

[10] J.K. Mahato, P.S. De, A. Sarkar, A. Kundu, and P. C. Chakraborti, Effect of deformation mode and grain size on Bauschinger behavior of annealed copper,, International Journal of Fatigue, vol. 83(2015) 42–52.

DOI: https://doi.org/10.1016/j.ijfatigue.2015.04.023

[11] D. J. Dunstan and A. J. Bushby, Thescaling exponent in the size effect of small scale plastic deformation,, International Journal of Plasticity, vol. 40 (2013) 152–162.

DOI: https://doi.org/10.1016/j.ijplas.2012.08.002

[12] Bellifa, Hichem; Benrahou, Kouider Halim; Bousahla, Abdelmoumen Anis; Tounsi, Abdelouahed; Mahmoud, S.R., A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams,, Structural Engineering and Mechanics, 62(6), 695 - 702.

DOI: https://doi.org/10.12989/sem.2015.54.4.693

[13] Bouafia, Khadra; Kaci, Abdelhakim; Houari, Mohammed Sid Ahmed; Benzair, Abdelnour; Tounsi, Abdelouahed; A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams, Smart Structures and Systems, vol. 19 (2017).

DOI: https://doi.org/10.12989/sss.2017.19.2.115

[14] B. Karami, M. Janghorban, D. Shahsavari and A. Tounsi, A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates, , Steel and Composite Structures, vol. 28, No. 1(2018) 99-110.

[15] Minghao, Z., Changjun, C., Guoning. L. et al. Analysis of crack problem with non local elasticity, , Applied Mathematics and Mechanics, vol. 20 (1999), 143-153.

DOI: https://doi.org/10.1007/bf02481893

[16] H. Roostai, M. Haghpanahi, Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory,, Applied Mathematical Modeling, vol. 38 (2014), 1159-1169.

DOI: https://doi.org/10.1016/j.apm.2013.08.011

[17] D. Huang, G. Lu, and Y. Liu, Nonlocal Peridynamic Modeling and Simulation on Crack Propagation in Concrete Structures,, Mathematical Problems in Engineering, vol. 2015 (2014).

[18] L. Jun, The nonlocal theory solution of a Mode-I crack in functionally graded materials,, Science in China Series E: Technological Sciences ,vol. 52 (2009), 1101-1111.

DOI: https://doi.org/10.1007/s11431-008-0152-3

[19] D.Chen and T. Chen, Mechanical properties of Au nanowires under uniaxial tension with high strain rate by molecular dynamics,, Nanotechnology, vol. 16(2005) 2972-2981.

DOI: https://doi.org/10.1088/0957-4484/16/12/041

[20] B. Shiari and R.E. Miller, Multiscale modeling of crack initiation and propagation at the nanoscale,, Journal of the Mechanics and Physics of Solids, vol. 88 (2016) 35–49.

[21] M.F. Horstemeyer, M.I. Baskes, and S.J. Plimpton, Length scale and time scale effects on the plastic flow of fcc metals,, Acta Materialia, vol. 49(2001) 4363–4374.

DOI: https://doi.org/10.1016/s1359-6454(01)00149-5

[22] Y. Zhang and S. Jiang, Molecular dynamics simulation of crack propagation in Nanoscale Polycrystal Nickel based on different central cracks,, Metals, vol. 7, 432 (2017) 1-11.

DOI: https://doi.org/10.3390/met7100432

[23] S. Mojumder, Abdullah Al Amin and Md. M. Islam, Mechanical properties of stanene under uniaxial and biaxial loading: A molecular dynamics study,, Journal of Applied Physics 118, 124305, (2015) 1-9.

DOI: https://doi.org/10.1063/1.4931572

[24] G.S. Camprubi, Mechanical properties at nano-level,, Lund University, 2011. [PDF] Available: https://core.ac.uk/download/pdf/41795277.pdf.

[25] S.M. Foiles, M. I. Baskes, and M. S. Daw, Embedded-atom-method functions for the fcc metals Cu, Ag, Au, Ni, Pd, Pt, and their alloys,, Physical Review B, vol. 33 (1986) pp.7983-7991.

DOI: https://doi.org/10.1103/physrevb.33.7983

[26] D. Roylance, STRESS-STRAIN CURVES,, Massachusetts Institute of Technology, 2001. [PDF] Available: http://web.mit.edu/course/3/3.11/www/modules/ss.pdf.