Solvability of a rational contact model with limited interpenetration in viscoelastodynamics

0490888 - MÚ 2019 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GAP201/12/0671
Institucionální podpora: RVO:67985840
Klíčová slova: rational contact model * limited interpenetration * viscoelastodynamics * existence of a solution
Obor OECD: Pure mathematics
Impakt faktor: 1.791, rok: 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).
Trvalý link: http://hdl.handle.net/11104/0285013