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Dušan ZORICA Memoryandnon-localitye ...Dušan Zorica received his PhD from the University of Novi...

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Tuesday January 28 at 14:30 Politecnico di Torino, DISMA, Aula Buzano (third floor) Dušan ZORICA Professor at the Serbian Academy of Arts and Sciences and the University of Novi Sad Memory and non-locality eects in wave propagation modelling Prof. Alfio Grillo introduces the seminar. Abstract Classical wave equation is generalized within the framework of fractional calculus in order to account for the me- mory and non-local eects that might be material features. Both eects are included in the constitutive equation, while the equation of motion of the deformable body and strain are left unchanged. Memory eects in viscoelastic materials are modeled through distributed-order fractional constitutive equation that generalizes all linear mo- dels having dierentiation orders up to order one. Microlocal approach in analyzing the 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. Biography Dušan Zorica received his PhD from the University of Novi Sad in 2009. He is currently associate professor at the University of Novi Sad and associate research professor at the Mathematical Institute of the Serbian Academy of Arts and Sciences. His research interests include Fractional Calculus with Applications in Mechanics, such as Vibrations, Diusion Processes and Wave Propagation. More info on www.polito.it/disma-excellence
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Page 1: Dušan ZORICA Memoryandnon-localitye ...Dušan Zorica received his PhD from the University of Novi Sad in 2009. He is currently associate professor at the University of Novi Sad and

Tuesday January 28 at 14:30Politecnico di Torino, DISMA, Aula Buzano (third floor)

Dušan ZORICAProfessor at the Serbian Academy of Arts and Sciences and the University of Novi Sad

Memory and non-locality e�ects in wave propagation modellingProf. Alfio Grillo introduces the seminar.

AbstractClassical wave equation is generalized within the framework of fractional calculus in order to account for the me-mory and non-local e�ects that might be material features. Both e�ects are included in the constitutive equation,while the equation of motion of the deformable body and strain are left unchanged. Memory e�ects in viscoelasticmaterials are modeled through distributed-order fractional constitutive equation that generalizes all linear mo-dels having di�erentiation orders up to order one. Microlocal approach in analyzing the singularity propagation isutilized in the case of viscoelastic material described by the fractional Zener model, as well as in the case of twonon-local models: non-local Hookean and fractional Eringen.

BiographyDušan Zorica received his PhD from the University of Novi Sad in 2009. He is currently associate professor at theUniversity of Novi Sad and associate research professor at the Mathematical Institute of the Serbian Academyof Arts and Sciences. His research interests include Fractional Calculus with Applications in Mechanics, such asVibrations, Di�usion Processes and Wave Propagation.

More info on www.polito.it/disma-excellence

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