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

2016/02/10 by Mircea Bîrsan, Birsan, Mircea, Patrizio Neff +1
Engineering · Materials Science · #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Geotechnical and Geomechanical Engineering #Nonlocal and gradient elasticity in micro/nano structures

paper · pdf · doi:10.48550/arxiv.1602.03421

openalex publication_date 2016/02/10 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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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