Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 22, Issue 1, Pages 62-71Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286515570510
Keywords
Growth mechanics; Nonlinear elasticity; Compatibility conditions
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Funding
- MIUR (the Italian Ministry of Education, University and Research) [PRIN2009]
- INdAM - GNFM
- Italian Institute for Advanced Mathematics - Mathematical-Physics Group project Young Researchers
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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.
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