Version 1
: Received: 29 June 2018 / Approved: 2 July 2018 / Online: 2 July 2018 (17:08:27 CEST)
How to cite:
Sun, B. Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation. Preprints2018, 2018070018. https://doi.org/10.20944/preprints201807.0018.v1
Sun, B. Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation. Preprints 2018, 2018070018. https://doi.org/10.20944/preprints201807.0018.v1
Sun, B. Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation. Preprints2018, 2018070018. https://doi.org/10.20944/preprints201807.0018.v1
APA Style
Sun, B. (2018). Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation. Preprints. https://doi.org/10.20944/preprints201807.0018.v1
Chicago/Turabian Style
Sun, B. 2018 "Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation" Preprints. https://doi.org/10.20944/preprints201807.0018.v1
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.
Keywords
dislocation density tensor, thin shells, Riemann curvature tensor
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
