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math.AP2025
Transition from Continuous to Jumping Solutions in 2D Quasi-static Elastic Contact Problems with Coulomb Friction: the Mathematics Underlying the Onset of Brake Squeal
Patrick Ballard, Flaviana Iurlano
We formulate the quasi-static elastic contact problem with Coulomb friction in a very general setting, with possible jumps in time for both the load and the solution. Exploiting id…
math.AP2025
Kinematically incompatible Föppl-von Kármán plates: analysis and numerics
Edoardo Fabbrini, Andrés Alessandro León Baldelli, Pierluigi Cesana
We investigate thin plates where out-of-plane deformations arise due to membrane kinematic incompatibility of rotational type, specifically Volterra wedge disclinations, which are…