Energies of Mechanical Fractional-Order Elements: Causal Concept and Kernel Effects

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creativework.keywordscausality, energies of fractional models, force–displacement relationship, Maxwell mechanical model, Mittag-Leffler function
creativework.publisherMultidisciplinary Digital Publishing Institute (MDPI)en
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:06Z
dc.date.accessioned2024-07-10T14:51:32Z
dc.date.available2024-07-10T14:27:06Z
dc.date.available2024-07-10T14:51:32Z
dc.date.issued2024-01-01
dc.description.abstractThe energies of the classical Maxwell mechanical model of viscoelastic behavior have been studied as a template with a variety of relaxation kernels in light of a causal formulation of the force–displacement relationship. The starting point uses the Lorenzo–Hartley model with the time-fractional Riemann–Liouville derivative. This approach has been reformulated based on critical analysis, allowing for the application of a variety of relaxation (memory) functions mainly based on the Mittag-Leffler family, in order to meet the need for broader modeling of viscoelastic behavior. The examples provided include cases of the types of forces used by Lorenzo and Hartley as well as a new family of force approximations such as a general power-law ramp, polynomials, and the Prony series.
dc.identifier.doi10.3390/app14010197
dc.identifier.issn2076-3417
dc.identifier.scopusSCOPUS_ID:85192443373en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/941
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85192443373&origin=inward
dc.titleEnergies of Mechanical Fractional-Order Elements: Causal Concept and Kernel Effects
dc.typeArticle
oaire.citation.issue1
oaire.citation.volume14
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