Autori: Manuela Minozzi, Paola Nardinocchi, Luciano Teresi and Valerio Varano

Editore: Sage Journals

Tipologia Prodotto: Articolo in rivista

DOI: 10.1177/1081286515570510

Titolo della Rivista: Mathematics and Mechanics of Solids

Numero; Volume: 22(1)

Numero prima e ultima pagina: 62 – 71

Anno di Pubblicazione: 2017

Link: journals.sagepub.com/home/mm

Abstract:

We studied the time evolution problem driven by growth for a non-Euclidean ball which at its initial state is equipped with a non-compatible distortion field. The problem is set within the framework of non-linear elasticity with large growing distortions. No bulk accretive forces are considered, and growth is only driven by the stress state. We showed that, when stress-driven growth is considered, distortions can evolve along different trajectories which share a common attracting manifold; moreover, they eventually attain a steady and compatible form, to which there corresponds a stress-free state of the ball.

Keywords: Growth mechanics; Nonlinear elasticity; Compatibility conditions

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