# Target metric and Shell Shaping

Target metric and Shell Shaping AbstractWe exploit the possibility of deforming a shell by assigning a target metric, which, for 2D structures, is decomposed into the first and second target fundamental-forms. As well known, an elastic shell may change its shape under two different kinds of actions: one are the loadings, the other one are the distortions, also known as the pre-strains. Actually, the target fundamental forms prescribe a sought shape for the solid, and the metric effectively realized is the one that minimizes the distance, measured through an elastic energy, between the target and the actual fundamental forms. The proposed method is very effective in deforming shells. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Curved and Layered Structures de Gruyter

# Target metric and Shell Shaping

, Volume 8 (1): 13 – Jan 1, 2021
13 pages

/lp/de-gruyter/target-metric-and-shell-shaping-M6Je3NBhW0
Publisher
de Gruyter
eISSN
2353-7396
DOI
10.1515/cls-2021-0002
Publisher site
See Article on Publisher Site

### Abstract

AbstractWe exploit the possibility of deforming a shell by assigning a target metric, which, for 2D structures, is decomposed into the first and second target fundamental-forms. As well known, an elastic shell may change its shape under two different kinds of actions: one are the loadings, the other one are the distortions, also known as the pre-strains. Actually, the target fundamental forms prescribe a sought shape for the solid, and the metric effectively realized is the one that minimizes the distance, measured through an elastic energy, between the target and the actual fundamental forms. The proposed method is very effective in deforming shells.

### Journal

Curved and Layered Structuresde Gruyter

Published: Jan 1, 2021

Keywords: shell; elastic metric; distortions; non linear elasticity; target metric