A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation, and an application to soft crawlers
arXiv:2007.09069 · doi:10.1007/s00526-021-02067-6
Abstract
We study the approximation of quasistatic evolutions, formulated as abstract finite-dimensional rate-independent systems, via a vanishing-inertia asymptotic analysis of dynamic evolutions. We prove the uniform convergence of dynamical solutions to the quasistatic one, employing the 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.
References in corpus (9)
- BV solutions and viscosity approximations of rate-independent systems
- Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems
- Understanding Legged Crawling for Soft-Robotics
- Crawling scallop: Friction-based locomotion with one degree of freedom
- A Study of Snake-like Locomotion Through the Analysis of a Flexible Robot Model
- Rate-independent damage in thermo-viscoelastic materials with inertia
- Rate-independent soft crawlers
- On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity
- On the genesis of directional friction through bristle-like mediating elements