Non-uniqueness, stability and bifurcation analyses in elasto-viscoplastic boundary value problems with no inertia - Archive ouverte HAL Access content directly
Journal Articles International Journal of Engineering Science Year : 2022

Non-uniqueness, stability and bifurcation analyses in elasto-viscoplastic boundary value problems with no inertia

Huan Wang

Abstract

The article focuses on non-uniqueness, bifurcation and stability conditions in elasto-viscoplastic boundary value problems when inertia terms are neglected. Analytical and numerical studies are presented to investigate the capability of an elasto-viscoplastic model to regularize the behavior in the occurrence of strain localization with respect to number of strain bands formed and mesh dependency. It is found that elasto-viscoplasticity in a Cauchy medium neither restores the uniqueness of the solution nor provides mesh independent results. A high value of the viscosity parameter can sometimes provide results that are mesh independent, up to a certain limit strain, as it actually modifies the response of the constitutive law by an ad-hoc increase of its hardening branch. On the contrary, coupling elasto-viscoplasticity with a second gradient model that introduces an internal length parameter reproduces realistically the rate dependent behavior and regularizes the results.
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Dates and versions

hal-03688218 , version 1 (03-06-2022)

Licence

Attribution - NonCommercial - CC BY 4.0

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Huan Wang, Panagiotis Kotronis, Giulio Sciarra. Non-uniqueness, stability and bifurcation analyses in elasto-viscoplastic boundary value problems with no inertia. International Journal of Engineering Science, 2022, 177, pp.103714. ⟨10.1016/j.ijengsci.2022.103714⟩. ⟨hal-03688218⟩
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