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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 1999

Models and simulations of dynamic frictional contact of a thermoelastic beam

Résumé

We investigatea mathematicalmodel for the dynamic thermomechanical behavior of a viscoelasticbeam that is in frictional contact with a rigid moving surface. Friction is modeled by a version of Coulomb's law with slip dependent coefficientof friction,taking into account the frictional heat generation.We prove the existence and uniqueness of the weak solution, describe an algorithm for the numerical solutions and present results of numerical simulations, including the frequency distribution of the noise generated by the stick/slip motion. We also show that when the surface moves too fast there are no steady solutions and therefore the system is thermally unstable.
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hal-00690540 , version 1 (26-04-2018)

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Kenneth L. Kuttler, Yves Renard, Meir Shillor. Models and simulations of dynamic frictional contact of a thermoelastic beam. Computer Methods in Applied Mechanics and Engineering, 1999, 177, pp.259-272. ⟨10.1016/S0045-7825(98)00384-3⟩. ⟨hal-00690540⟩
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