Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws

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  • Cited by (231)

    • Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations

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      For Coulomb friction in elastodynamics, results are even more scattered (see [13] for a review). A pioneering work [29] addresses the problem of frictional contact with a normal compliance law, and existence and uniqueness of a solution is established. Another work [30] carries out the numerical analysis of a one dimensional contact problem with Coulomb friction.

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    • Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact

      2021, Communications in Nonlinear Science and Numerical Simulation
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      Also in [33] a viscoelastic body is considered under normal compliance conditions, and in [34] the authors proved some existence and uniqueness results concerning dynamic contact problems with friction for a viscoelastic material. With respect to dynamic thermo-viscoelastic contact problems, in [35] the author considered Coulomb friction and in [36] the authors extended the results given in [33] to this kind of materials. In the most recent years we have devoted some efforts to the application of the asymptotic method to the analysis of several contact problems for elastic shells.

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