We exploit the possibility of deforming a solid volume, or a surface as well, by assigning a target metric. Aswell known, an elastic solid may change its shape under two different kinds of actions: one are the loadings, the other one are the distortions, aka, the pre-strains. Actually, a distortion prescribes the target metric sought by the solid, and the metric effectively realized is the one that minimize the distance, measured through an elastic energy, between the target metric and the actual one. The challenge of our work is to use the metric information taken from a pair of configurations , of a given body , to deform a different body , so that its deformation be as similar as possible to the one suffered by . In particular, we assess the metric change between the two configurations , of the template ; then, we use this information to build a target metric for , exploiting the notion of distortions: given a source configuration , we find a target configuration by minimizing an appropriate elastic energy. The proposed method is very effective in deforming solids as well as surfaces, and in reproducing similar deformations even when applied to different bodies.

Shape deformation from metric ’s transport / Teresi, L.; Milicchio, F.; Gabriele, S.; Piras, P.; Varano, V.. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - 119:(2020). [10.1016/j.ijnonlinmec.2019.103326]

Shape deformation from metric ’s transport

Piras, P.
Membro del Collaboration Group
;
2020

Abstract

We exploit the possibility of deforming a solid volume, or a surface as well, by assigning a target metric. Aswell known, an elastic solid may change its shape under two different kinds of actions: one are the loadings, the other one are the distortions, aka, the pre-strains. Actually, a distortion prescribes the target metric sought by the solid, and the metric effectively realized is the one that minimize the distance, measured through an elastic energy, between the target metric and the actual one. The challenge of our work is to use the metric information taken from a pair of configurations , of a given body , to deform a different body , so that its deformation be as similar as possible to the one suffered by . In particular, we assess the metric change between the two configurations , of the template ; then, we use this information to build a target metric for , exploiting the notion of distortions: given a source configuration , we find a target configuration by minimizing an appropriate elastic energy. The proposed method is very effective in deforming solids as well as surfaces, and in reproducing similar deformations even when applied to different bodies.
2020
elastic metric; distortions; non linear elasticity; metric tensor
01 Pubblicazione su rivista::01a Articolo in rivista
Shape deformation from metric ’s transport / Teresi, L.; Milicchio, F.; Gabriele, S.; Piras, P.; Varano, V.. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - 119:(2020). [10.1016/j.ijnonlinmec.2019.103326]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1438049
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