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

Simple item page
dc.contributor.authorGidoni, Paolo
dc.contributor.authorRiva, Filippo
dc.date.accessioned2020-07-21T07:10:08Z
dc.date.available2020-07-21T07:10:08Z
dc.date.issued2020-07-21
dc.descriptionContents: 1. Introduction and motivation. 2. Setting of the problem and main result. 3. Existence of solutions for the dynamic problem. 4. R-absolutely continuous functions and functions of bounded R-variation. 5. Differential and energetic solutions for the quasistatic problem. 6. Quasistatic limit. 7. Applications and examples. References.en_US
dc.description.abstractWe 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35388
dc.language.isoenen_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesSISSA;19/2020/MATE
dc.subjectQuasistatic limiten_US
dc.subjectVanishing inertiaen_US
dc.subjectRate-independent systemsen_US
dc.subjectEnergetic solutionsen_US
dc.subjectSoft crawlersen_US
dc.titleA Vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlersen_US
dc.typePreprinten_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
PREPRINT_A vanishing inertia analysis for finite dimensional rate-independent systems.pdf
Size:
555.45 KB
Format:
Adobe Portable Document Format
Description:
Preprint
Download
Collections
Preprints