Solvability of a rational contact model with limited interpenetration in viscoelastodynamics

0490888 - MÚ 2019 RIV GB eng J - Journal Article
Jarušek, Jiří - Stará, J.
Solvability of a rational contact model with limited interpenetration in viscoelastodynamics.
Mathematics and Mechanics of Solids. Roč. 23, č. 7 (2018), s. 1040-1048. ISSN 1081-2865. E-ISSN 1741-3028
R&D Projects: GA ČR(CZ) GAP201/12/0671
Institutional support: RVO:67985840
Keywords : rational contact model * limited interpenetration * viscoelastodynamics * existence of a solution
OECD category: Pure mathematics
Impact factor: 1.791, year: 2018
http://journals.sagepub.com/doi/10.1177/1081286517703262

A rational model of a dynamical contact of a viscoelastic body with its support is presented. It is assumed that the contact is frictionless and permits a limited interpenetration which is prescribed. A weak formulation of the problem is given and the existence of its solutions is proved. It is also shown that if the depth of the interpenetration tends to zero, the solutions converge to a solution of the Signorini contact (without interpenetration).
Permanent Link: http://hdl.handle.net/11104/0285013