scholarly journals Variational Analysis of an Electro-Elasto-Viscoplastic Contact Problem With Friction and Wear

2021 ◽  
Vol 12 (1) ◽  
pp. 145-159
Author(s):  
Khezzani Rimi ◽  
Tedjani Hadj Ammar
2016 ◽  
Vol 53 (1) ◽  
pp. 161-185 ◽  
Author(s):  
NADHIR CHOUGUI ◽  
SALAH DRABLA ◽  
NACERDINNE HEMICI

Author(s):  
Yuri Kligerman

A frictional force resists the relative motion of the two surfaces. An understanding of the difference between static and dynamic contact with friction can lead to methods, which reduce friction and wear. The main goal of the present work is to evaluate the various solutions for the dynamic contact problem with friction and to compare theirs with the solution of the static contact problem. Another goal of the present work is to clarify whether the perturbation of some problem parameters during sliding with time can lead to the difference between solutions of the static and dynamic contact problems with friction. The essential parameter determining friction is the number of asperities in contact. The number of asperities in contact changes as a consequence of the wear. As follows from the classical wear models the perturbation frequency of the number of asperities in contact depends on the sliding velocity. The model of dynamic contact with friction based on the perturbation of the number of asperities in contact, along with the alternative models, is discussed in the present work.


2021 ◽  
Vol 26 (2) ◽  
pp. 170-187
Author(s):  
Mohammed Salah Mesai Aoun ◽  
Mohamed Selmani ◽  
Abdelaziz Azeb Ahmed

We study a quasistatic problem describing the contact with friction and wear between a piezoelectric body and a moving foundation. The material is modeled by an electro-viscoelastic constitutive law with long memory and damage. The wear of the contact surface due to friction is taken into account and is described by the differential Archard condition. The contact is modeled with the normal compliance condition and the associated law of dry friction. We present a variational formulation of the problem and establish, under a smallness assumption on the data, the existence and uniqueness of the weak solution. The proof is based on arguments of parabolic evolutionary inequations, elliptic variational inequalities and Banach fixed point.


1997 ◽  
Vol 35 (14) ◽  
pp. 1291-1309 ◽  
Author(s):  
Kevin T. Andrews ◽  
M. Shillor ◽  
S. Wright ◽  
A. Klarbring

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