Abstract
In this paper, we present a model of the motion of a non-fixed elastic body. The word “non-fixed” means that the body can move as a whole under the action of external bulk and surface forces. Besides, these forces cause the elastic deformation of the body. We decompose the motion of the body on the rigid and deformation parts and write down governing equations for them.
The work of V.N. Starovoitov is supported by the Russian Science Support Foundation and by the Russian Foundation for Basic Research (grant No. 07-01-00309).
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References
C. Grandmont, Y. Maday, and P. Métier. Modeling and Analysis of an Elastic Problem with Large Displacements and Small Strains, 2007, Journal of Elasticity, Vol. 87, No. 1, pp. 29–72.
B. Fraeijs de Veubeke. The dynamics of flexible bodies. International Journal of Engineering Science, 1976, Vol. 14, No. 10, pp. 895–913.
P.G. Ciarlet. Mathematical elasticity. Vol. 1. North-Holland, Amsterdam, 1988.
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Dedicated to the memory of Alexander Vasilievich Kazhikhov
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© 2009 Birkhäuser Verlag Basel/Switzerland
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Starovoitov, V.N., Starovoitova, B.N. (2009). Dynamics of a Non-fixed Elastic Body. In: Fursikov, A.V., Galdi, G.P., Pukhnachev, V.V. (eds) New Directions in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0152-8_20
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DOI: https://doi.org/10.1007/978-3-0346-0152-8_20
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0151-1
Online ISBN: 978-3-0346-0152-8
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