000004148 001__ 4148
000004148 005__ 20141118153334.0
000004148 04107 $$acze
000004148 046__ $$k2004-05-10
000004148 100__ $$aValenta, R.
000004148 24500 $$aNumerical implementation of the Leonov model

000004148 24630 $$n10.$$pEngineering Mechanics 2004
000004148 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Prague
000004148 506__ $$arestricted
000004148 520__ $$2eng$$aThe Leonov model, where the Eyring flow model is used to represent the plastic shear rate of the deformation of a material, appears to be a proper choice for the description of non-linear viscoelastic behavior of polymers. This paper outlines formulations of the generalized Leonov model and presents possible approaches to numerical implementation of this constitutive law. A fully explicit method based on forward Euler integration is known to suffer from numerical instabilities, which can only be prevented by taking very short time steps. To eliminate this restriction, a fully implicit method (backward Euler integration), where the solution was established employing the Newton-Raphson iteration method, was developed. Both methods are compared and verified by simulation of a uni-axial test of the PR100/2+EM100E epoxy resin.

000004148 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004148 653__ $$a

000004148 7112_ $$aEngineering Mechanics 2004$$cSvratka (CZ)$$d2004-05-10 / 2004-05-13$$gEM2004
000004148 720__ $$aValenta, R.
000004148 8560_ $$ffischerc@itam.cas.cz
000004148 8564_ $$s565671$$uhttps://invenio.itam.cas.cz/record/4148/files/T-Valenta-Richard.pdf$$y
             Original version of the author's contribution as presented on CD, .
            
000004148 962__ $$r4009
000004148 980__ $$aPAPER