On the numerical handling of fractional viscoelastic material models in a FE analysis-Reference-Cited by-同舟云学术

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On the numerical handling of fractional viscoelastic material models in a FE analysis

Published:2012-09-18 Issue:6 Volume:51 Page:999-1012
ISSN:0178-7675
Container-title:Computational Mechanics
language:en
Short-container-title:Comput Mech

Author:

Müller Sebastian,Kästner Markus,Brummund Jörg,Ulbricht Volker

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics

Link

http://link.springer.com/content/pdf/10.1007/s00466-012-0783-x.pdf

Reference49 articles.

1. Adolfsson K, Enelund M, Larsson S (2004) Adaptive discretization of fractional order viscoelasticity using sparse time history. Comput Methods Appl Mech Eng 193(42–44): 4567–4590

2. Adolfsson K, Enelund M, Olsson P (2005) On the fractional order model of viscoelasticity. Mech Time-Depend Mater 9(1): 15–34

3. Bagley RL, Torvik PJ (1983) A theoretical basis for the application of fractional calculus to viscoelasticity. J Rheol 27(3): 201–210. doi: 10.1122/1.549724

4. Bagley RL, Torvik PJ (1986) On the fractional calculus model of viscoelastic behavior. J Rheol 30(1): 133–155. doi: 10.1122/1.549887

5. Caputo M, Mainardi F (1971) Linear models of dissipation in anelastic solids. La Rivista del Nuovo Cimento (1971–1977) 1(2): 161–198

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