Open AccessModelling and simulation of a dynamic contact problem in thermo-piezoelectricity
Author(s) -
Youssef Ouafik
Publication year - 2021
Publication title -
engineering and applied science letters
Language(s) - English
Resource type - Journals
eISSN - 2617-9709
pISSN - 2617-9695
DOI - 10.30538/psrp-easl2021.0069
Subject(s) - discretization , piezoelectricity , finite element method , mechanics , work (physics) , coulomb's law , heat transfer , displacement (psychology) , lagrange multiplier , constitutive equation , classical mechanics , materials science , mathematics , mathematical analysis , coulomb , physics , mechanical engineering , structural engineering , engineering , mathematical optimization , psychology , quantum mechanics , composite material , psychotherapist , electron
In this work, we numerically study a dynamic frictional contact problem between a thermo-piezoelectric body and a conductive foundation. The linear thermo-electro-elastic constitutive law is employed to model the thermo-piezoelectric material. The contact is modelled by the Signorini condition and the friction by the Coulomb law. A frictional heat generation and heat transfer across the contact surface are assumed. The heat exchange coefficient is assumed to depend on contact pressure. Hybrid formulation is introduced, it is a coupled system for the displacement field, the electric potential, the temperature and two Lagrange multipliers. The discrete scheme of the coupled system is introduced based on a finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivate. The thermo-mechanical contact is treated by using an augmented Lagrangian approach. A solution algorithm is discussed and implemented. Numerical simulation results are reported, illustrating the mechanical behavior related to the contact condition.