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Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation

Submitted:

29 June 2018

Posted:

02 July 2018

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Abstract
The dislocation density tensors of thin elastic shells have been formulated explicitly in terms of the Riemann curvature tensor. The formulation reveals that the dislocation density of the shells is proportional to KA3=2, where K is the Gauss curvature and A is the determinant of metric tensor of the middle surface.
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