Bibliografie

Journal Article

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

: Calculus of Variations and Partial Differential Equations vol.60,

: Mechanics of deformable solids, Calculus of variations and optimal control, Variational inequalities, Variational methods for problems in mechanics

: 10.1007/s00526-021-02067-6

: http://library.utia.cas.cz/separaty/2021/MTR/gidoni-0545175.pdf

: https://link.springer.com/article/10.1007/s00526-021-02067-6

(eng): 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.

: BA

: 10102