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arXiv · 1407.1396

On the material geometry of continuously defective corrugated graphene sheets

Andrzej Trzesowski
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Abstract

Geometrical objects describing the material geometry of continuously defective graphene sheets are introduced and their compatibility conditions are formulated. Effective edge dislocations embedded in the Riemann-Cartan material space and defined by their scalar density and by local Burgers vectors, are considered. The case of secondary curvature-type defects created by this distribution of dislocations is analysed in terms of the material space. The variational geometry of the material space closely related with the existence of a characteristic length parameter is proposed. The formula which describes, in a reference temperature, the influence of dislocations on the material Riemannian metric, is given.

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Andrzej Trzesowski. 2014-12-22. On the material geometry of continuously defective corrugated graphene sheets. https://arxiv.org/abs/1407.1396

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