121
Views
2
CrossRef citations to date
0
Altmetric
Part A: Materials Science

Generalised plane strain embedded in three-dimensional anisotropic elasticity

&
Pages 2584-2598 | Received 30 May 2021, Accepted 19 Aug 2021, Published online: 07 Nov 2021

References

  • D.M. Barnett and J. Lothe, Synthesis of the sextic and the integral formalism for dislocations, Green's function and structure waves in anisotropic elastic solids, Phys. Norvegica 7 (1973), pp. 13–19.
  • D.J. Bacon, D.M. Barnett, and R.O. Scattergood, Anisotropic continuum theory of defects, Prog. Mater. Sci. 23 (1980), pp. 51–262.
  • J. Lothe, Dislocations in anisotropic media, in Elastic Strain Fields and Dislocation Mobility, V.L. Indenbom and J. Lothe, eds., Elsevier, Amsterdam, 1992, pp. 269–328.
  • S.G. Lekhnitskii, Theory of Elasticity of An Anisotropic Body, Holden-Day, San Francisco, CA, 1950.
  • A.N. Stroh, Dislocations and cracks in anisotropic elasticity, Phil. Mag. 3 (1958), pp. 625–646.
  • T.C.T. Ting, Anisotropic Elasticity, Oxford Science Publishers, Oxford, 1996.
  • M. Lazar and H.O.K. Kirchner, Dislocation loops in anisotropic elasticity: displacement field, stress function tensor and interaction energy, Phil. Mag. 93 (2013), pp. 174–185.
  • R. Bracewell, Fourier Analysis and Imaging, Springer Science+Business Media, New York, 2003.
  • V.S. Vladimirov, Equations of Mathematical Physics, Marcel Dekker, Inc., New York, 1971.
  • H.O.K. Kirchner, Line defects along the axis of rotationally inhomogeneous media, Phil. Mag. A 55 (1987), pp. 537–542.
  • H.O.K. Kirchner and K.H. Bluemel, Elastic quasi-isotropy normal to the basal plane in the hexagonal system, Phys. Stat. Sol. (B) 75 (1976), pp. 527–532.
  • 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. Status Solidi B 60 (1973), pp. 261–271.
  • R.J Asaro, J.P Hirth, and J. Lothe, Stress functions for line defects in anisotropic elastic media, Scripta Metallurgica 9 (1975), pp. 837–840.
  • V.I. Alshits, H.O.K. Kirchner, and T.C.T. Ting, Inhomogeneous piezoelectric piezomagnetic media, Phil. Mag. Lett. 71 (1995), pp. 285–288.
  • I.M. Lifshitz and L.N. Rosenzweig, On the construction of the Green's tensor for the basic equation of the theory of elasticity of an anisotropic medium, Zh. Eksper. Teor. Fiz 17 (1947), pp. 783–791.
  • F. Santosa, Inverse Problems of Acoustic and Elastic Waves, Wiley, New Jersey, 1984.
  • P.K. Chinta, Ultrasonic Nondestructive Testing of Inhomogeneous Isotropic and Anisotropic Media: Modeling and Imaging, Kassel University Press, Kassel, 2013.
  • T. Mura, Micromechanics of Defects in Solids, 2nd ed., Martinus Nijhoff, Dordrecht, 1987.
  • R.P. Kanwal, Generalized Functions: Theory and Applications, 3rd ed., Birkhäuser, Boston, 2004.
  • M. Abramowitz and I.A. Segun, Handbook of Mathematical Functions, Dover, New York, 1968.
  • H.O.K. Kirchner and V.I. Alshits, Elastically anisotropic angularly inhomogeneous media part II: Green's function for piezoelectric, piezomagnetic and magnetoelectric media, Phil. Mag. A 74 (1996), pp. 861–885.
  • G. Leibfried, Versetzungen in anisotropem material, Z. Phys. 135 (1953), pp. 23–43.
  • R.W. Balluffi, Introduction to Elasticity Theory for Crystal Defects, Cambridge University Press, Cambridge, 2012.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.