On a fractional derivative type of a viscoelastic body | Zendy

Teodor M. Atanacković | Zendy; Branislava N. Novaković | Zendy

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On a fractional derivative type of a viscoelastic body

Author(s) -

Teodor M. Atanacković,

Branislava N. Novaković

Publication year - 2002

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam0229027a

Subject(s) - viscoelasticity , fractional calculus , derivative (finance) , type (biology) , constitutive equation , dissipation , mathematics , mathematical analysis , physics , thermodynamics , finite element method , geology , paleontology , financial economics , economics

We study a viscoelastic body, in a linear stress state with fractional derivative type of dissipation. The model was formulated in [1]. Here we derive restrictions on the model that follow from Clausius-Duhem inequality. Several known constitutive equations are derived as special cases of our model. Two examples are discussed.

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