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Two-scale geometric modelling for defective media: An approach using fibre bundles

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Mathematics and Mechanics of Solids

Published online on

Abstract

Mathematics and Mechanics of Solids, Volume 31, Issue 4, Page 735-790, April 2026.
A new geometrically exact micro-structured model is constructed in order to propose a generalisation of the notion of Riemann–Cartan manifolds. The construction is done using the theory of affine bundles, Ehresmann connections, and solder forms. This ...