Abstract
Introduction to Part III which is devoted to large deformations in solid mechanics. A new point of view based on observation is presented. Both equations of motion and constitutive laws are investigated. The smooth evolution, the non smooth evolution (collision with an obstacle and self-collision) are addressed. The action of a power hammer on a dimension 3 structure produces a shape change where the deformations are so large that we may think that the geometrical dimension is reduced to dimension 2. Flattening or dimension change is also addressed.
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References
P.G. Ciarlet, Mathematical Elasticity Volume I: Three-Dimensional Elasticity (North-Holland, Amsterdam, 1988)
S.S. Antman, Existence of solutions of the equilibrium equations for non linearly elastic rings and arches. Indiana Univ. Math. J. 20, 281–302 (1970)
J.J. Moreau, Lois d’élasticité en grande déformation, Séminaire d’Analyse convexe, Exposé n \({{}^\circ }\)12 (Université de Montpellier II, 1979)
M. Frémond, R. Gormaz, J. San Martin, Collision of a solid with an incompressible fluid. Theor. Comput. Fluid Dyn. 16, 405–420 (2003)
M. Frémond, Collisions, Edizioni del Dipartimento di Ingegneria Civile (Università di Roma “Tor Vergata”, 2007), ISBN 978-88-6296-000-7
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Frémond, M. (2017). Introduction. In: Virtual Work and Shape Change in Solid Mechanics. Springer Series in Solid and Structural Mechanics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-40682-4_28
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DOI: https://doi.org/10.1007/978-3-319-40682-4_28
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