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• W2567515621 abstract "This paper is concerned with the dynamics of continua on differentiable manifolds. We present a covariant derivation of the equations of motion, viewing motion as a curve in an infinite-dimensional Banach manifold of embeddings of a body manifold in a space manifold. Our main application is the motion of residually-stressed elastic bodies, where the residual stresses result from a geometric incompatibility between body and space manifolds. We then study a particular example of elastic vibrations of a two-dimensional curved annulus embedded in a sphere." @default.
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• W2567515621 date "2017-01-09" @default.
• W2567515621 modified "2023-10-17" @default.
• W2567515621 title "Continuum Dynamics on Manifolds: Application to Elasticity of Residually-Stressed Bodies" @default.
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• W2567515621 doi "https://doi.org/10.1007/s10659-016-9617-y" @default.
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