Characterizing geometrically necessary dislocations using an elastic–plastic decomposition of Laplace stretch

Author:

Paul Sandipan,Freed Alan D.ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference49 articles.

1. Acharya, A.: A counterpoint to Cermelli and Gurtin’s criteria for choosing the ‘correct’ geometric dislocation tensor in finite plasticity. In: IUTAM Symposium on theoretical, computational and modelling aspects of inelastic media, pp. 99–105. Springer (2008)

2. Acharya, A., Bassani, J.L.: Lattice incompatibility and a gradient theory of crystal plasticity. J. Mech. Phys. Solids 48(8), 1565–1595 (2000)

3. Barber, J.R.: Elasticity. Springer, Berlin (1992)

4. Bilby, B.A., Bullough, R., Smith, E.: Continuous distributions of dislocations: a new application of the methods of non-Riemannian geometry. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 231(1185), 263–273 (1955)

5. Bilby, B. A., Gardner, L. R. T., Stroh, A. N.: Continuous distributions of dislocations and the theory of plasticity. In: Proceedings of the 9th international congress of applied mechanics, volume 8, pp. 35–44. University de Bruxelles, Brussels (1957)

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