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The mathematical theory of defects in a Cosserat continuum

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Abstract

We give a survey of the theory of dislocations and disclinations in moment media. We study the theory of incompatible deformations of three- and two-dimensional Cosserat continua. In the context of a differential-geometric approach we give a physical interpretation of the geometric quantities in terms of the continuous theory of defects.

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  1. Yu. Z. Povstenko
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 34–40.

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Povstenko, Y.Z. The mathematical theory of defects in a Cosserat continuum. J Math Sci 62, 2524–2530 (1992). https://doi.org/10.1007/BF01099143

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