Modelling and simulation of a dynamic contact problem in thermo-piezoelectricity

Engineering and Applied Science Letters

Youssef Ouafik¹ 

[1] National School of Applied Sciences of Safi, Cadi Ayyad University, Safi, Morocco;

关键词: thermo-piezoelectricity;    heat transfer;    frictional heat generation;    finite element;    augmented lagrangian method;    numerical simulations.;   

DOI  :  10.30538/psrp-easl2021.0069

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown