Minozzi, Manuela; Nardinocchi, Paola; Teresi, Luciano; Varano, Valerio Growth-induced compatible strains. (English) Zbl 1371.74044 Math. Mech. Solids 22, No. 1, 62-71 (2017). Summary: 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. Cited in 5 Documents MSC: 74B20 Nonlinear elasticity Keywords:growth mechanics; nonlinear elasticity; compatibility conditions PDFBibTeX XMLCite \textit{M. Minozzi} et al., Math. Mech. Solids 22, No. 1, 62--71 (2017; Zbl 1371.74044) Full Text: DOI