PublicaciĂłn:
ANALYTICAL AND NUMERICAL ANALYSES OF A VISCOUS STRAIN GRADIENT PROBLEM INVOLVING TYPE II THERMOELASTICITY

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dc.creatorJAIME EDILBERTO MUĂ‘OZ RIVERA
dc.date2024
dc.date.accessioned2025-01-10T15:52:28Z
dc.date.available2025-01-10T15:52:28Z
dc.date.issued2024
dc.description.abstractIN THIS PAPER, A THERMOELASTIC PROBLEM INVOLVING A VISCOUS STRAIN GRADIENT BEAM IS CONSIDERED FROM THE ANALYTICAL AND NUMERICAL POINTS OF VIEW. THE SO-CALLED TYPE II THERMAL LAW IS USED TO MODEL THE HEAT CONDUCTION AND TWO POSSIBLE DISSIPATION MECHANISMS ARE INTRODUCED IN THE MECHANICAL PART, WHICH IS CONSIDERED FOR THE FIRST TIME WITHIN STRAIN GRADIENT THEORY. AN EXISTENCE AND UNIQUENESS RESULT IS PROVED BY USING SEMIGROUP ARGUMENTS, AND THE EXPONENTIAL ENERGY DECAY IS OBTAINED. THE LACK OF DIFFERENTIABILITY FOR THE SEMIGROUP OF CONTRACTIONS IS ALSO SHOWN. THEN, FULLY DISCRETE APPROXIMATIONS ARE INTRODUCED BY USING THE FINITE ELEMENT METHOD AND THE BACKWARD TIME SCHEME, FOR WHICH A DEMONSTRATE THE ACCURACY OF THE APPROXIMATIONS AND THE BEHAVIOR OF THE DISCRETE ENERGY DECAY.
dc.formatapplication/pdf
dc.identifier.doi10.3934/math.2024825
dc.identifier.issn2473-6988
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/14055
dc.languagespa
dc.publisherAIMS MATHEMATICS
dc.relation.uri10.3934/math.2024825
dc.rightsPUBLICADA
dc.subjectviscoelasticity
dc.subjecttype II thermoelasticity
dc.subjectstrain gradient
dc.subjectfinite elements
dc.subjectexistence and uniqueness
dc.subjecta priori error analysis
dc.titleANALYTICAL AND NUMERICAL ANALYSES OF A VISCOUS STRAIN GRADIENT PROBLEM INVOLVING TYPE II THERMOELASTICITY
dc.typeARTĂŤCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIĂ“N
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