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Part A: Materials Science

Modification of the elastic field of an edge dislocation

Pages 1992-1997 | Received 23 Jun 2023, Accepted 14 Sep 2023, Published online: 09 Oct 2023

References

  • V. Volterra, Sur l’équilibre des corps élastiques multiplement connexes. Ann. Ecole Normal. Super 24 (1907), pp. 401–517.
  • C. Somigliana, Sulla teoria delle distorsioni elastiche. Rend. Accad. Lincei 23 (1914), pp. 463–472.
  • E. Orowan, Uber denmechanismus der gleitvorgsanges. Z. Phys. 89 (1934), pp. 605–661.
  • M. Polanyi, Uber eine art gitterstōrung, die einen kristall plastisch mache kōnnte. Z. Phys. 89 (1934), pp. 660–666.
  • G.I. Taylor, The mechanism of plastic deformation of crystals, part I, theoretical. Proc. Roy. Soc. (London) A145 (1934), pp. 362–387.
  • F.R.N. Nabarro, Theory of Crystal Dislocations, Oxford Univ Press, Oxford, 1967.
  • J.P. Hirth and J. Lothe, Theory of Dislocations, McGraw-Hill, New York, 1968.
  • J. Friedel, Dislocations, Addison-Wesley, Reading, MA, 1864.
  • P.M. Anderson, J.P. Hirth, and J. Lothe, Theory of Dislocations, Cambridge Univ. Press, Cambridge, 2017.
  • W. Cai, W. D, and W.D. Nix, Imperfections in Crystalline Solids, Cambridge Univ. Press, Cambridge, 2016.
  • J.R. Rice, Conserved integrals and energetic forces, in The Eshelby Memorial Symposium, Cambridge Univ. Press, Cambridge, 1984. pp. 33–56.
  • J.E. Sinclair, P.C. Gehlen, R.G. Hoagland, and J.P. Hirth, Flexible boundary conditions and nonlinear geometric effects in atomic dislocation modeling. J. Appl. Phys. 49 (1978), pp. 3890–3897.
  • R.C. Pond, X. Ma, Y.W. Chen, and J.P. Hirth, Topological modeling of martensitic transformations, in Dislocations in Solids, Vol. 13, F.R.N. Nabarro and J.P. Hirth, eds., Elsevier, Amsterdam, 2007. pp. 225–261.
  • J.P. Hirth, R.C. Pond, R.G. Hoagland, X.Y. Liu, and J. Wang, Interface defects, reference spaces and the Frank-Bilby equation. Prog. Mater. Sci 58 (2013), pp. 749–823.
  • R.C. Pond, J.P. Hirth, and K.M. Knowles, Topological model of type II deformation twinning in NiTi martensite. Phil. Mag. 99 (2019), pp. 1619–1634.
  • J.P. Hirth, R.C. Pond, R. C, and J. Lothe, Spacing defects and disconnections in grain boundaries. Acta Mater. 55 (2007), pp. 5428–5437.
  • R.H. Wagoner and J.P. Hirth, Elastic fields of line defects in a cracked body. J Solids Struct 12 (1976), pp. 117–123.
  • A.E.H. Love, The Mathematical Theory of Elasticity, Dover, New York, 1944, Article 148. p. 209.
  • C.S. Hartley and R. Bullough, On the description of defects by point force arrays. J. Appl. Phys 48 (1977), pp. 4557–4564.
  • D.M. Barnerr and J. Lothe, An image force theorem for dislocations in anisotropic bicrystals. J. Phys. F Metal Phys 4 (1974), pp. 1618–1635.
  • R.J. Asaro, J.P. Hirth, D.M. Barnett, and J. Lothe, A further synthesis of sextic and integral theories for dislocations and line forces in anisotropic media. Phys. Stat. Sol 60 (1973), pp. 261–371. Eqs. 23, 36.
  • J.P. Hirth and J. Lothe, Anisotropic elastic solutions for line forces in high-symmetry cases. J. Appl. Phys 44 (1973), pp. 1029–1033.

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