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We study the approximation of quasistatic evolutions, formulated as abstractfinite-dimensional rate-independent systems, via a vanishing-inertia asymptoticanalysis of dynamic evolutions. We prove the uniform convergence of dynamicalsolutions to the quasistatic one, employing the concept of energetic solution.Motivated by applications in soft locomotion, we allow time-dependence of thedissipation potential, and translation invariance of the potential energy.

A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation, and an application to soft crawlers