On the dislocation density tensor in the Cosserat theory of elastic shells

Mircea Birsan; Patrizio Neff

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arXiv · 1602.03421

On the dislocation density tensor in the Cosserat theory of elastic shells

Mircea Birsan·Patrizio Neff

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Abstract

We consider the Cosserat continuum in its finite strain setting and discuss the dislocation density tensor as a possible alternative curvature strain measure in three-dimensional Cosserat models and in Cosserat shell models. We establish a close relationship (one-to-one correspondence) between the new shell dislocation density tensor and the bending-curvature tensor of 6-parameter shells.

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Mircea Birsan, Patrizio Neff. 2016-02-10. On the dislocation density tensor in the Cosserat theory of elastic shells. https://arxiv.org/abs/1602.03421

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