Journal of Theoretical
and Applied Mechanics
56, 2, pp. 483-496, Warsaw 2018
DOI: 10.15632/jtam-pl.56.2.483
and Applied Mechanics
56, 2, pp. 483-496, Warsaw 2018
DOI: 10.15632/jtam-pl.56.2.483
Numerical nodelling of a dynamic contact problem with normal damped response and unilateral constraint
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.
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.
Keywords: dynamic contact, viscoelastic material, frictional contact, normal damped response, unilateral constraint, penalty method, numerical simulations