NUMERICAL MODELLING OF A DYNAMIC CONTACT PROBLEM WITH NORMAL DAMPED RESPONSE AND UNILATERAL CONSTRAINT

作者：Barboteu Mikael^*; Ouafik Youssef; Sofonea Mircea

来源：Journal of Theoretical and Applied Mechanics, 2018, 56(2): 483-496.

DOI：10.15632/jtam-pl.56.2.483

• dynamic contact
• viscoelastic material
• frictional contact
• normal damped response
• unilateral constraint
• penalty method
• numerical simulations

We consider a mathematical model which describes the dynamic evolution of a viscoelastic body in frictional contact with an obstacle. The contact is modelled with normal damped response and unilateral constraint for the velocity field, associated to a version of Coulomb's law of dry friction. Our aim is to present a detailed description of the numerical modelling of the problem. To this end, we use a penalty method to approximate the constraint. Then, we provide numerical simulations in the study of a two-dimensional example and compare the penalty model with the original one.

• 出版日期2018-4