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Article Dans Une Revue Computers & Structures Année : 2011

Finite element implementation of nearly-incompressible rheological models based on multiplicative decompositions

Résumé

The present work is concerned with the numerical integration of finite viscoelastic or viscoplastic models. A numerical integration scheme based on the definition of a flow direction and a flow amplitude as in elastoplasticity is proposed. The most original feature of this approach resides in a local correction of the direction and amplitude with a sub-stepping strategy. Comparisons with the results obtained using a classical tensorial integrator based on a Runge-Kutta-Fehlberg scheme are provided. The reliability of the present numerical scheme is investigated with three rheological models two are viscoelastic (Zener and Poynting-Thomson) and one is viscoplastic.
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Dates et versions

hal-00551691 , version 1 (01-01-2018)

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Stéphane Lejeunes, Adnane Boukamel, Stéphane Meo. Finite element implementation of nearly-incompressible rheological models based on multiplicative decompositions. Computers & Structures, 2011, 89 (3-4), pp.411-421. ⟨10.1016/j.compstruc.2010.11.013⟩. ⟨hal-00551691⟩
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