| Title | A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers |
| Publication Type | Journal Article |
| Year of Publication | 2021 |
| Authors | Gidoni, P, Riva, F |
| Volume | 60 |
| Issue | 5 |
| Pagination | 191 |
| Date Published | 2021/08/03 |
| ISBN Number | 1432-0835 |
| Abstract | We study the approximation of finite-dimensional rate-independent quasistatic systems, via a vanishing-inertia asymptotic analysis of dynamic evolutions. We prove the uniform convergence of dynamic solutions to a rate-independent one, employing the variational concept of energetic solution. Motivated by applications in soft locomotion, we allow time-dependence of the dissipation potential, and translation invariance of the potential energy. |
| URL | https://doi.org/10.1007/s00526-021-02067-6 |
| Short Title | Calculus of Variations and Partial Differential Equations |
Research Group: