Universal Deformations of Growing SolidsстатьяИсследовательская статья
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Дата последнего поиска статьи во внешних источниках: 4 января 2018 г.
Аннотация:A class of universal deformations of accreted hyperelastic incompressible bodies is studied. Accretion is realized by adding prestrained layers [1-4]. The deformations correspond layerwise to the transformation of a parallelepiped to a hollow circular cylinder. Discrete and continuous accretion modes are considered and classified. Solutions of the boundary-value problems for the elastic Mooney-Rivlin potential are constructed. The solutions of the discrete accretion problems are shown to converge to solutions of the corresponding problems of continuous accretion as the number of layers increases and the layer thickness decreases.