Abstract
The theoretical model of an edge dislocation near interface collinear crack tips in nanocrystalline bi-materials with cooperative grain boundary sliding and migration is formulated. As a typical example, we focus on analyzing the effect of two disclination dipoles produced by cooperative grain boundary sliding and migration on an edge dislocation emitting from a finite interfacial crack tip in nanocrystalline bi-materials. The dislocation force and the critical stress intensity factors for an edge dislocation emitting from an interface collinear crack tip under remote plane loadings are derived by using the complex potential method. And the influences of grain size, disclination strength, migration distance, sliding distance and interface crack length on the critical stress intensity factors are discussed in detail. It can be found that the effect of cooperative grain boundary sliding and migration deformation on the dislocation emission from interface collinear crack tip lies in the crack length, the dislocation emission angle, and the strength of the cooperative deformation itself.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Zhao, H.B., Feng, H., Liu, F., Liu, Y.W., Wen, P.H.: Effect of nanoscale twin and dislocation pileup at twin boundary on crack blunting in nanocrystalline materials. Acta Mech. 228(10), 3483–3495 (2017)
He, T., Xiao, W., Zhang, Y., Zhu, H.: Effect of special rotational deformation on the dislocation emission from a branched crack tip in deformed nanocrystalline materials. Acta Mech. 228(3), 823–836 (2017)
Zhao, J., Liu, J., Kang, G., An, L., Zhang, X.: The competitive nucleation of misfit dislocation dipole and misfit extended dislocation dipole in nanocomposites. Acta Mech. 228(7), 2541–2554 (2017)
Zhao, Y.X., Fang, Q.H., Liu, Y.W.: Effect of nanograin boundary sliding on nanovoid growth by dislocation shear loop emission in nanocrystalline materials. Eur. J. Mech. A Solids 49, 419–429 (2015)
Liu, Y.G., Ju, R.Y.: A theoretical model for studying the mechanical properties of bimodal nanocrystalline materials. J. Mater. Res. 30(11), 1836–1843 (2015)
Wang, P., Yang, X.H., Tian, X.B.: Fracture behavior of precracked nanocrystalline materials with grain size gradients. J. Mater. Res. 30(5), 709–716 (2015)
Nejadseyfi, O., Shamsborhan, M., Azimi, A., Shokuhfar, A.: The roles of crystallographic orientation, high-angle grain boundary, and indenter diameter during nano-indentation. Acta Mech. 226(11), 3823 (2015)
Zhou, Q., Xie, J.Y., Wang, F., Huang, P., Xu, K.W., Lu, T.J.: The mechanical behavior of nanoscale metallic multilayers: A survey. Acta. Mech. Sin. 31(3), 319–337 (2015)
Ovid’ko, I.A., Skiba, N.V.: Generation of nanoscale deformation twins at locally distorted grain boundaries in nanomaterials. Int. J. Plast. 62, 50–71 (2014)
Zhou, K., Wu, M.S., Nazarov, A.A.: Relaxation of a disclinated tricrystalline nanowire. Acta Mater. 56, 5828–5836 (2008)
Laursen, A.B., Patraju, K.R., Whitaker, M.J., et al.: Nanocrystalline \(\text{ Ni }_{5}\text{ P }_{4}\): a hydrogen evolution electrocatalyst of exceptional efficiency in both alkaline and acidic media. Energy Environ. Sci. 8(3), 1027–1034 (2015)
Zhou, K., Wu, M.S.: Elastic fields due to an edge dislocation in an isotropic film-substrate by the image method. Acta Mech. 211(3–4), 271–292 (2010)
Kalidindi, A.R., Chookajorn, T., Schuh, C.A.: Nanocrystalline materials at equilibrium: a thermodynamic review. JOM 67(12), 2834–2843 (2015)
Fang, Q.H., Feng, H., Liu, Y.W., Lin, S., Zhang, N.: Special rotational deformation effect on the emission of dislocations from a crack tip in deformed nanocrystalline solids. Int. J. Solids Struct. 49, 1406–1412 (2012)
Zhou, K.: Elastic field and effective moduli of periodic composites with arbitrary inhomogeneity distribution. Acta Mech. 223(2), 293–308 (2012)
Ovid’ko, I.A., Sheinerman, A.G., Valiev, R.Z.: Dislocation emission from deformation-distorted grain boundaries in ultrafine-grained materials. Scr. Mater. 76, 45–48 (2014)
Ovid’ko, I.A., Skiba, N.V.: Nanotwins induced by grain boundary deformation processes in nanomaterials. Scr. Mater. 71, 33–36 (2014)
Bobylev, S.V., Ovid’ko, I.A.: Stress-driven migration of deformation-distorted grain boundaries in nanomaterials. Acta Mater. 88, 260–270 (2015)
Ovid’ko, I.A., Sheinerman, A.G.: Effects of incoherent nanoinclusions on stress-driven migration of low-angle grain boundaries in nanocomposites. J. Mater. Sci. 50(12), 4430–4439 (2015)
Wang, L., Teng, J., Liu, P., Hirata, A., Ma, E., Zhang, Z., Han, X.: Grain rotation mediated by grain boundary dislocations in nanocrystalline platinum. Nat. Commun. 5, 4402 (2014)
Zhao, Y.X., Zeng, X., Chen, C.P.: Elastic behavior of disclination dipole near nanotube with surface/interface effect. Chin. Phys. B 23(3), 030202 (2014)
Yu, M., Fang, Q.H., Feng, H., Liu, Y.W.: Effect of special rotational deformation on dislocation emission from a semi-elliptical blunt crack tip in nanocrystalline solids. J. Mater. Res. 28(6), 798–805 (2013)
Zhao, Y.X., Fang, Q.H., Liu, Y.W.: A wedge disclination dipole interacting with a coated cylindrical inhomogeneity. Acta Mech. Solida Sin. 28(1), 62–73 (2015)
Feng, H., Lam, Y.C., Zhou, K., Kumar, S.B., Wu, W.J.: Elastic–plastic behavior analysis of an arbitrarily oriented crack near an elliptical inhomogeneity with generalized Irwin correction. Eur. J. Mech. A Solids 67, 177–186 (2018)
Bobylev, S.V., Morozov, N.F., Ovid’ko, I.A.: Cooperative grain boundary sliding and migration process in nanocrystalline solids. Phys. Rev. Lett. 105, 055504 (2010)
Ovid’ko, I.A., Sheinerman, A.G.: Free surface effects on stress-driven grain boundary sliding and migration processes in nanocrystalline materials. Acta Mater. 121, 117–125 (2016)
Ovid’ko, I.A., Sheinerman, A.G., Aifantis, E.C.: Effect of cooperative grain boundary sliding and migration on crack growth in nanocrystalline solids. Acta Mater. 59, 5023–5031 (2011)
Babicheva, R.I., Dmitriev, S.V., Bai, L.C., Zhang, Y., Kok, S.W., Kang, G.Z., Zhou, K.: Effect of grain boundary segregation on the deformation mechanisms and mechanical properties of nanocrystalline binary aluminum alloys. Comput. Mater. Sci. 117, 445–454 (2016)
Feng, H., Fang, Q.H., Zhang, L.C., Liu, Y.W.: Effect of cooperative grain boundary sliding and migration on emission of dislocations from a crack tip in nanocrystalline materials. Mech. Mater. 61, 39–48 (2013)
Feng, H., Fang, Q.H., Zhang, L.C., Liu, Y.W.: Special rotational deformation and grain size effect on fracture toughness of nanocrystalline materials. Int. J. Plast. 42, 50–64 (2013)
Fang, Q.H., Zhang, L.C., Liu, Y.W.: Influence of grain boundary sliding and grain size on dislocation emission from a crack tip. Int. J. Damage Mech. 23(2), 192–202 (2014)
Feng, H., Fang, Q.H., Liu, Y.W., Chen, C.P.: Nanoscale rotational deformation effect on dislocation emission from an elliptically blunted crack tip in nanocrystalline materials. Int. J. Solids Struct. 51, 352–358 (2014)
Zhao, Y.X., Fang, Q.H., Liu, Y.W.: Effect of cooperative nanograin boundary sliding and migration on dislocation emission from a blunt nanocrack tip in nanocrystalline materials. Philos. Mag. 94(7), 700–730 (2014)
Yu, M., Fang, Q.H., Feng, H., Liu, Y.W.: Effect of cooperative grain boundary sliding and migration on dislocation emitting from a semi-elliptical blunt crack tip in nanocrystalline solids. Acta Mech. 225(7), 2005–2019 (2014)
Fang, Q.H., Liu, Y.W., Jiang, C.P., Li, B.: Interaction of a wedge disclination dipole with interfacial cracks. Eng. Fract. Mech. 73, 1235–1248 (2006)
Yu, M., Fang, Q.H., Feng, H., et al.: Effect of special rotational deformation on dislocation emission from interface collinear crack tip in nanocrystalline bi-materials. Acta Mech. 227(7), 2011–2024 (2016)
Muskhelishvili, N.L.: Soma Basic Problems of Mathematical Theory of Elasticity. Noordhoff, Leyden (1975)
Zhang, T.Y., Li, J.C.M.: Interaction of an edge dislocation with an interfacial crack. J. Appl. Phys. 72, 2215–2226 (1992)
Hirth, J.P., Lothe, J.: Theory of Dislocations, vol. 2. Wiley, New York (1964)
Creager, M., Paris, P.C.: Elastic field equations for blunt cracks with reference to stress corrosion cracking. Int. J. Fract. 3, 247–252 (1967)
Rice, J.R., Thomson, R.: Ductile versus brittle behavior of crystals. Philos. Mag. 29, 73–80 (1974)
Fang, Q.H., Zhang, L.C.: Prediction of the threshold load of dislocation emission in silicon during nanoscratching. Acta Mater. 61, 5469–5476 (2013)
Acknowledgements
The authors would like to deeply appreciate the support from the National Natural Science Foundation of China (Grant No. 11602308). The work was also supported by the Introducing High-level Talent Research Fund of Central South University of Forestry and Technology (104-0096).
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
Yu, M., Peng, X.H. & Wen, P.H. Effect of cooperative grain boundary sliding and migration on dislocation emission from interface collinear crack tip in nanocrystalline bi-materials. Acta Mech 229, 3901–3913 (2018). https://doi.org/10.1007/s00707-018-2196-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-018-2196-1