Abstract
We discuss surface integrals that describe certain dislocational defects in the framework of a continuum model for crystals with defects. We find that those surface integrals have an interpretation which is similar to the one of Burger's integrals in the theories of Bilby and Kondo, and gives rise to a problem first studied by Minkowski in a purely geometrical context.
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Davini, C., Huo, Y.Z. On certain surfaces with given Gaussian curvature in the theory of defects in crystals. J Elasticity 26, 1–22 (1991). https://doi.org/10.1007/BF00041148
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DOI: https://doi.org/10.1007/BF00041148