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• W2511162172 abstract "In this paper we formulate the initial-boundary value problems of accreting cylindrical and spherical nonlinear elastic solids in a geometric framework. It is assumed that the body grows as a result of addition of new (stress-free or pre-stressed) material on part of its boundary. We construct Riemannian material manifolds for a growing body with metrics explicitly depending on the history of applied external loads and deformation during accretion and the growth velocity. We numerically solve the governing equilibrium equations in the case of neo-Hookean solids and compare the accretion and residual stresses with those calculated using the linear mechanics of surface growth." @default.
• W2511162172 created "2016-09-16" @default.
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• W2511162172 date "2017-01-01" @default.
• W2511162172 modified "2023-10-16" @default.
• W2511162172 title "Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies" @default.
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• W2511162172 doi "https://doi.org/10.1016/j.jmps.2016.08.012" @default.
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