%0 Journal Article %D 2021 %T A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers %A Paolo Gidoni %A Filippo Riva %X

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.

%V 60 %P 191 %8 2021/08/03 %@ 1432-0835 %G eng %U https://doi.org/10.1007/s00526-021-02067-6 %N 5 %! Calculus of Variations and Partial Differential Equations