DC FieldValueLanguage
dc.contributor.authorZorica, Dušan-
dc.date.accessioned2020-07-01T14:34:48Z-
dc.date.available2020-07-01T14:34:48Z-
dc.date.issued2019-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/3692-
dc.description.abstractThe classical wave equation is generalized within the framework of fractional calculus in order to account for the memory and non-local effects that might be material features. Both effects are included in the constitutive equation, while the equation of motion of the deformable body and strain are left unchanged. Memory effects in viscoelastic materials are modeled through the distributed-order fractional constitutive equation that generalizes all linear models having differentiation orders up to order one. The microlocal approach in analyzing singularity propagation is utilized in the case of viscoelastic material described by the fractional Zener model, as well as in the case of two non-local models: non-local Hookean and fractional Eringen.-
dc.relationViscoelasticity of fractional type and shape optimization in a theory of rods-
dc.subjectwave equation | memory and non-local effects | distributed-order fractional model | non-local Hookean model | fractional Eringen model-
dc.titleHereditariness and non-locality in wave propagation modelling-
dc.typeConference Paper-
dc.relation.conference7th Congress of the Serbian Society of Mechanics-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.description.rankM30-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeConference Paper-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174005e.php-
crisitem.project.fundingProgramBasic Research (BR or ON)-
crisitem.project.openAireinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174005-
crisitem.author.orcid0000-0002-9117-8589-
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