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- Title
Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision.
- Authors
Češík, Antonín; Gravina, Giovanni; Kampschulte, Malte
- Abstract
We study the time evolution of non-linear viscoelastic solids in the presence of inertia and (self-)contact. For this problem we prove the existence of weak solutions for arbitrary times and initial data, thereby solving an open problem in the field. Our construction directly includes the physically correct, measure-valued contact forces and thus obeys conservation of momentum and an energy balance. In particular, we prove an independently useful compactness result for contact forces.
- Subjects
ENERGY conservation; PROBLEM solving
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 2, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-023-02648-7