Data di Pubblicazione:
2014
Citazione:
The 3D motion of a solid with large deformations / E. Bonetti, P. Colli, M. Frémond. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - 352:3(2014 Mar), pp. 183-187.
Abstract:
We study in dimension 3 the motion of a solid with large deformations. The solid may be loaded on its surface by needles, rods, beams, shells, etc. Therefore, it is wise to choose a third gradient theory for the body. It is known that the stretch matrix of the polar decomposition has to be symmetric. This is an internal constraint, which introduces a reaction stress in the Piola-Kirchhoff-Boussinesq stress. We prove that there exists a motion that satisfies the complete equations of Mechanics in a convenient variational framework. This motion is local-in-time for it may be interrupted by a crushing, which entails a discontinuity of velocity with respect to time, i.e., an internal collision.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
mathematics (all)
Elenco autori:
E. Bonetti, P. Colli, M. Frémond
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