Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction
Identifieur interne : 000419 ( Main/Exploration ); précédent : 000418; suivant : 000420Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction
Auteurs : J. A. C. Martins [Portugal] ; S. Barbarin [France] ; M. Raous [France] ; A. Pinto Da Costa [Portugal]Source :
- Computer Methods in Applied Mechanics and Engineering [ 0045-7825 ] ; 1997.
Abstract
Necessary and sufficient conditions are established for the occurrence of dynamic instabilities in finite dimensional linearly elastic systems in unilateral frictional contact with a rigid flat surface. These conditions apply, in particular, to the systems that result from the finite element discretization of linearly elastic bodies. From a numerical point of view, these conditions lead to studying eigenproblems relative to a non-symmetric (tangent) stiffness matrix that incorporates the effect of the current state of the contract candidate particles. Illustrative small-sized examples are presented, together with an application to the case of an experimentally tested block of polyurethane, where friction induced instability phenomena were observed.
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DOI: 10.1016/S0045-7825(98)00386-7
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These conditions apply, in particular, to the systems that result from the finite element discretization of linearly elastic bodies. From a numerical point of view, these conditions lead to studying eigenproblems relative to a non-symmetric (tangent) stiffness matrix that incorporates the effect of the current state of the contract candidate particles. Illustrative small-sized examples are presented, together with an application to the case of an experimentally tested block of polyurethane, where friction induced instability phenomena were observed.</div></front></TEI><affiliations><list><country><li>France</li><li>Portugal</li></country><region><li>Provence-Alpes-Côte d'Azur</li></region><settlement><li>Marseille</li></settlement></list><tree><country name="Portugal"><noRegion><name sortKey="Martins, J A C" sort="Martins, J A C" uniqKey="Martins J" first="J. A. C." last="Martins">J. A. C. 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