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For an introduction to the physics of lattice defects, see D. Hull, Introduction to Dislocations (Pergamon Press, Oxford, 1975). Subboundaries (or low-angle grain boundaries) are made of two-dimensional periodic arrays of dislocations devoid of long-range stresses. Polygonization is the generic name of the rearrangement processes giving rise to subboundaries.
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H.M. Hawthorne and J.N. Sherwood, Trans. Faraday Soc. 66, 1783 (1970). These authors showed that the mechanical properties of the nonfaceted transparent "plastic" organic crystals are similar to those of metals of the same crystal structure (fcc, in our case) at the same reduced temperature (absolute temperature divided by the melting temperature).
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S. de Cheveigné, C. Guthmann, and M.-M. Lebrun, J. Phys. (Paris) 47, 2095 (1986). Also see M.-M. Lebrun, Thesis, Université Paris 7, 1987.
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D.P. Woodruff, The Solid-Liquid Interface (Cambridge University Press, Cambridge, 1973). Also see R. Kikuchi and J.W. Cahn, Phys. Rev. 21, 1893 (1985).
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84988746484
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note
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Grain coarsening involves the whole GB network of the solid. The lateral displacements of the GB grooves that we observe along the front are part of this process. They occur during directional solidification as well as at rest.
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24
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34047253660
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W.A. Tiller, K.A. Jackson, J.W. Rutter, and B. Chalmers, Acta Metall. 1, 428 (1953).
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Chalmers, B.4
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25
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0003673241
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edited by C. Godrèche (Cambridge University Press, Cambridge)
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For an introduction to the theory of the Mullins-Sekerka bifurcation, see B. Caroli, C. Caroli and B. Roulet, in Solids Far from Equilibrium, edited by C. Godrèche (Cambridge University Press, Cambridge, 1992).
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Solids Far from Equilibrium
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0001697984
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An externally applied stress can provoke an Asaro-Tiller-Grinfeld instability of the front in a dislocation-free crystal [see I. Cantat, K. Kassner, C. Misbah and H. Müller-Krumbhaar, Phys. Rev. E 58, 6027 (1998)]. The present study suggests that, in a ductile crystal, such a stress would simply result in an enhancement of the dynamical polygonization.
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Cantat, I.1
Kassner, K.2
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Müller-Krumbhaar, H.4
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