TY - JOUR T1 - A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers Y1 - 2021 A1 - Paolo Gidoni A1 - Filippo Riva AB -

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.

VL - 60 SN - 1432-0835 UR - https://doi.org/10.1007/s00526-021-02067-6 IS - 5 JO - Calculus of Variations and Partial Differential Equations ER -