On the passage from nonlinear to linearized viscoelastodynamics
Abstract
The equations of linearized viscoelastodynamics in Kelvin-Voigt rheology are rigorously derived from a nonlinear model that satisfies the time-dependent frame indifference in the sense of Antman. Besides showing the convergence of corresponding solutions of both systems, we also prove the convergence of time-discrete solutions on various scales and of continuous solutions of nonlinear problems to linearized ones.
Fields of Study & Subjects
Elasticity and Material Modeling
Elasticity and Wave Propagation
Advanced Numerical Methods in Computational Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 3 March 2026
- Language
- EN
- Document type
- Preprint