Abstract
The effects of doping ratio of calcium (Ca) on mechanical behaviors are investigated using molecular dynamics (MD) and the second nearest-neighbor modified embedded-atom method (2NN-MEAM) formalism for nanocrystalline (NC) Mg-Ca alloys system. Research results indicate that mechanical behaviors of Mg-Ca alloys are independent of lower strain rate (under 1.0 × 109 s−1). In addition, we observe that Ca doping can affect the mechanical properties of the Mg-Ca alloys, and the optimal 2.0 at% of Ca atoms, which has excellent plasticity, is revealed. When the doping ratio is lower than critical atomic percent (CAT) of Mg2Ca, Young’s modulus and yield stress decrease increasing at% of substitutional Ca. The pyramidal <c + a > dislocations are observed frequently at more active grain boundary (GB) with higher Ca doping ratios. In contrast, with doping ratio above CAT, Mg2Ca reinforcement dominates brittleness Mg/Mg2Ca nanocomposites to obtain high strength. By calculating, a significant increase of strength is discovered when at% of Mg2Ca is above 18.85 (5.34 at% Ca). Intergranular fractures are more likely to nucleate and propagate along weaker Mg/Mg2Ca interfaces. These results are instrumental in design and improving the mechanical properties of Mg-Ca alloys.
Similar content being viewed by others
References
Mordike BL, Ebert T (2001) Magnesium: properties—applications—potential. Mater Sci Eng A 302:37–45
Witte F, Hort N, Vog C (2008) Degradable biomaterials based on magnesium corrosion. Curr Opinion Solid State Mater Sci 12:63–72
Kirkland NT (2012) Magnesium biomaterials: past, present and future. Corros Eng Sci Technol 47:322–328
Kirkland NT, Birbilis N, Staiger MP (2012) Assessing the corrosion of biodegradable magnesium implants: a critical review of current methodologies and their limitations. Acta Biomater 8:925–936
Agnew SR, Yoo MH, Tome CN (2001) Application of texture simulation to understanding mechanical behavior of mg and solid solution alloys containing Li or Y. Acta Mater 49:4277–4289
Bhatia MA, Mathaudhu SN, Solanki KN (2015) Atomic-scale investigation of creep behavior in nanocrystalline mg and mg–Y alloys. Acta Mater 99:382–391
Pozuelo M, Mathaudhu SN, Kim S (2013) Nanotwins in nanocrystalline mg–Al alloys: an insight from high-resolution TEM and molecular dynamics simulation. Philos Mag Lett 93:640–647
Liao M, Li B, Horstemeyer MF (2013) Interaction between prismatic slip and a Mg17Al12 precipitate in magnesium. Comput Mater Sci 79:534–539
Miyazawa N, Yoshida T, Yuasa M (2015) Effect of segregated Al on \( \left\{10\overline{1}2\right\} \) and \( \left\{10\overline{1}1\right\} \) twinning in mg. J Mater Res 30:3629–3641
Karewar S, Gupta N, Groh S (2017) Effect of Li on the deformation mechanisms of nanocrystalline hexagonal close packed magnesium. Comput Mater Sci 126:252–264
Akbarian D, Hamedi H, Damirchi B (2019) Atomistic-scale insights into the crosslinking of polyethylene induced by peroxides. Polymer. 183:121901
Akbarian D, Yilmaz DE, Cao Y (2019) Understanding the influence of defects and surface chemistry on ferroelectric switching: a ReaxFF investigation of BaTiO3. Phys Chem Chem Phys 21:18240–18249
Swygenhoven HV, Spaczer M, Caro A (1998) Microscopic description of plasticity in computer generated metallic nanophase samples: a comparison between cu and Ni. Acta Mater 538:3117–3126
Bandyopadhyay K, Sarkar J, Ghosh KS (2017) Non-equilibrium MD modeling and simulation to extract mechanical properties of copper nanoparticles under ultra-high strain rate loading. Comput Mater Sci 127:277–283
Zhou Y, Hu M (2017) Mechanical behaviors of nanocrystalline cu/SiC composites: an atomistic investigation. Comput Mater Sci 129:129–136
Tschopp MA, Murdoch HA, Kecskes LJ (2014) “Bulk” nanocrystalline metals: review of the current state of the art and future opportunities for copper and copper alloys. Jom. 66:1000–1019
Song HY, Li YL (2012) Atomic simulations of effect of grain size on deformation behavior of nano-polycrystal magnesium. J Appl Phys 111:044322
Moitra A (2013) Grain size effect on microstructural properties of 3D nanocrystalline magnesium under tensile deformation. Comput Mater Sci 79:247–251
Kim DH, Manuel MV, Ebrahimi F (2010) Deformation processes in [112¯ 0]-textured nanocrystalline mg by molecular dynamics simulation. Acta Mater 58:6217–6229
Kim DH, Ebrahimi F, Manuel MV (2011) Grain-boundary activated pyramidal dislocations in nano-textured mg by molecular dynamics simulation. Mater Sci Eng A 528:5411–5420
Burke EC (1955) Solid solubility of calcium in magnesium. J Min Met Mater Soc 7:285–286
Vosskühler H (1937) The phase diagram of magnesium-rich mg-Ca alloys. Z Met 29:236–237
Haughton JL (1937) Alloys of magnesium. Part 6—the construction of the magnesium-rich alloys of magnesium and calcium. J Inst Met 61:241–246
Reddy R, Groh S (2016) Atomistic modeling of the effect of calcium on the yield surface of nanopolycrystalline magnesium-based alloys. Comput Mater Sci 112:219–229
Nahhas MK, Groh S (2018) Atomistic modeling of grain boundary behavior under shear conditions in magnesium and magnesium-based binary alloys. J Phys Chem Solids 113:108–118
Mao P, Yu B, Liu Z (2014) Mechanical, electronic and thermodynamic properties of Mg2Ca laves phase under high pressure: a first-principles calculation. Comput Mater Sci 88:61–70
Shao L, Shi TT, Zheng J (2015) The native point defects in C14 Mg2Ca laves phase: a first-principles study. Intermetallics. 65:29–34
Hirel P (2015) Atomsk: a tool for manipulating and converting atomic data files. Comput Phys Commun 197:212–219
Honeycutt JD, Andersen HC (1987) Molecular dynamics study of melting and freezing of small Lennard-Jones clusters. J Phys Chem 91:4950–4963
Evans DJ, Holian BL (1985) The nose–hoover thermostat. J Chem Phys 83:4069–4074
Parrinello M, Rahman A (1981) Polymorphic transitions in single crystals: a new molecular dynamics method. J Appl Phys 52:7182–7190
Zhou M (2003) A new look at the atomic level virial stress: on continuum-molecular system equivalence. Proceedings of the Royal Society of London. Ser A Mathemat Phys Eng Sci 459:2347–2392
Lee BJ, Baskes MI (2000) Second nearest-neighbor modified embedded-atom-method potential. Phys Rev B 62:8564
Groh S (2015) Mechanical, thermal, and physical properties of mg–Ca compounds in the framework of the modified embedded-atom method. J Mech Behav Biomed Mater 42:88–99
Plimpton S (1995) Fast parallel algorithms for short-range molecular dynamics. J Comput Phys 117:1–19
Li J (2005) Basic molecular dynamics. Handbook of materials modeling. Springer, Dordrecht, pp 565–588
Stukowski A (2012) Structure identification methods for atomistic simulations of crystalline materials. Modelling and simulation in materials science and. Engineering. 20:045021
Clarke AS, Jónsson H (1993) Structural changes accompanying densification of random hard-sphere packings. Phys Rev E 47:3975
Jónsson H, Andersen HC (1988) Icosahedral ordering in the Lennard-Jones liquid and glass. Phys Rev Lett 60:2295
Dongare AM, Rajendran AM, Lamattina B (2010) Atomic-scale study of plastic-yield criterion in Nanocrystalline cu at high strain rates. Metall Mater Transact A 41:523–531
Groh S, Alam M (2015) Fracture behavior of lithium single crystal in the framework of (semi-) empirical force field derived from first-principles. Model Simul Mater Sci Eng 23:045008
Funding
This work is supported by the National Key P&D Program of China (NO. 2017YFB0702501).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Gao, F., Yang, Q., Du, J. et al. Atomistic investigation on effect of Ca doping ratio on mechanical behaviors of nanocrystalline Mg-Ca alloys. J Mol Model 26, 103 (2020). https://doi.org/10.1007/s00894-020-04361-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00894-020-04361-0