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Crack Behaviour at Bi-Crystal Interfaces: A Mixed Atomistic and Continuum Approach

Published online by Cambridge University Press:  21 March 2011

Arun R. Pillai and
Ronald E. Miller
Arun R. Pillai
Affiliation:
Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada S7N5A9
Ronald E. Miller
Affiliation:
Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada S7N5A9
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Abstract

Interfacial defects like grain boundaries and phase boundaries play an important role in the mechanical behaviour of engineering alloys. In this work the problem of a crack on a bi-crystal interface is studied at the atomic scale, with the goal of elucidating the effects of varrying interatomic interaction on crack behaviour and to assess the suitability of existing fracture criteria to the anisotropic bi-crystal case. Calculations are performed using the Quasicontinuum (QC) method [1]. Using suitable approximations, some of the existing fracture criteria were used to predict ductile or brittle fracture and compared to the QC results.

Information

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 653: Symposium Z – Multiscale Modeling of Materials-2000 , 2000, Z2.9.1
Copyright
Copyright © Materials Research Society 2001

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References

[1] Shenoy, V. B., Miller, R., Tadmor, E. B., Rodney, D., Philips, R., and Ortiz, M., J. Mech. Phys. Sol., 47:611–642, 1999.Google Scholar
[2] Rice, J. R. and Thompson, R.. Phil. Mag., 29(1):73–97, 1974.10.1080/14786437408213555Google Scholar
[3] Rice, J. R.. J. Mech. Phys. Sol., 40:239–271, 1992.Google Scholar
[4] Rice, J. R., Suo, Z., and Wang, J. S.. Metal Ceramic Interfaces, pages 269–294. Pergamon Press, New York, 1990.10.1016/B978-0-08-040505-6.50036-2Google Scholar
[5] Abraham, F. F., Schneider, D., Land, B., Lifka, D., Skovira, J., Gerner, J., and Rosenkrantz, M.. J. Mech. Phys. Sol., 45(9):1461–1471, 1998.Google Scholar
[6] Farkas, Diana. Scripta Materialia, 39(4):533–536, 1998.10.1016/S1359-6462(98)00193-6Google Scholar
[7] Panova, Julia and Farkas, Diana. Metallurgical and materials Transactions A, 29:951–955, 1998.Google Scholar
[8] Zhou, S. J., Beazley, D. M., and Lomdahl, P. S.. Phys. Rev. Lett., 78(3):479–482, 1997.Google Scholar
[9] Thomson, R. and Zhou, S. J.. Phys. Rev. B, 44(1):44–55, 1994.Google Scholar
[10] Cleri, F., Phillpot, S. R., Wolf, D., and Yip, S.. J. Amer. Ceramic Soc., 81(3):501–516, 1998.Google Scholar
[11] Gumbsch, Peter. J. Mater. Res., 10(11):2897–2907, 1995.Google Scholar
[12] Abraham, F. F., Broughton, J. Q., Bernstein, N., and Kaxiras, E.. Comput. Phys., 12:538, 1998.Google Scholar
[13] Daw, M. S. and Baskes, M. I.. Phys. Rev. B, 29:6443–6453, 1984.10.1103/PhysRevB.29.6443Google Scholar
[14] Li, F. Z., Shih, C. F., and Needleman, A.. Engng. Fracture Mech., 21(2):405–421, 1985.Google Scholar
[15] Cho, S.B., Lee, K.R., Choy, Y.S., and Yuuki, R.. Engng. Fracture Mech., 43(4):603–614, 1992.Google Scholar
[16] Foiles, S. M., Baskes, M. I., and Daw, M. S.. Phys. Rev. B, 33:7983–7991, 1986.Google Scholar
[17] Beltz, G. E. and Rice, J. R.. Acta Met. et Mat., 40:S321–S331, 1992.10.1016/0956-7151(92)90291-LGoogle Scholar
[18] Hirth, J. P. and Lothe, J.. Theory of Dislocations. Krieger, Malabar, Florida, 1992.Google Scholar
[19] Pillai, A. R.. Crack Behaviour at Bimaterial Interface: A Mixed Atomistic and Continuum Approach. University of Saskatchewan, Thesis, Saskatoon, Canada, 2000.Google Scholar