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Rheological representation of fractional order viscoelastic material models

โœ Scribed by Katerina D. Papoulia; Vassilis P. Panoskaltsis; Nishu V. Kurup; Igor Korovajchuk

Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
466 KB
Volume
49
Category
Article
ISSN
0035-4511

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A constitutive equation for viscoelastic behavior containing time derivatives of stress and strain to fractional order is obtained from a fractal rheological model. Equivalence between tree and ladder fractal models at long times is demonstrated. The fractional differential equation is shown to be e