Transient response of a thin linearly elastic plate with Norton or Tresca friction

Article type: Research Article

Authors: Iosifescu, Oana^{a; *} | Licht, Christian^{b; c}

Affiliations: [a] IMAG, UMR CNRS 5149, Université de Montpellier, Place Eugène Bataillon, 34090 Montpellier, France | [b] LMGC, UMR CNRS 5508, Université de Montpellier, 163 rue Auguste Broussonnet 34090 Montpellier, France | [c] Departement of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand

Correspondence: [*] Corresponding author. E-mail: oana.iosifescu-azerad@umontpellier.fr.

Abstract: By using a nonlinear version of Trotter’s theory of approximation of semi-groups acting on variable Hilbert spaces, we propose an asymptotic modeling for the behavior of a linearly elastic plate in bilateral contact with a rigid body along part of its lateral boundary with Norton or Tresca friction.

Keywords: Linearly elastic thin plates, Norton or Tresca friction, dynamics, maximal-monotone operators, Trotter’s theory of approximation of semi-groups

DOI: 10.3233/ASY-211717

Journal: Asymptotic Analysis, vol. 128, no. 4, pp. 555-570, 2022