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Viscoelastoplasticity of Rubbery Polymers at Finite Strains

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Abstract

Constitutive relations are derived for the nonlinear response of rubbery polymers and polymeric melts at isothermal loading. The model is based on a concept of nonaffine temporary networks, where breakage and reformation of active chains are responsible for the viscoelastic behavior, whereas gliding of junctions with respect to a bulk medium reflects the plastic effects. Constitutive equations are developed using the laws of thermodynamics. They contain only one extra adjustable parameter compared to the Lodge formula in finite viscoelasticity. The model is applied to study stresses and residual strains in a bar at uniaxial extension and in a layer at simple shear. Fair agreement is demonstrated between experimental data for polystyrene and polyethylene at elevated temperature and the results of numerical simulation.

Sommario. Vengono derivate equazioni costitutive che descrivono la risposta nonlineare di gomme polimeriche e fusioni di polimeri nel caso di carichi isotermi. Il modello proposto è basato sul concetto di reti temporanee non affini, in cui la rottura e la riformazione di legami attivi sono responsabili del comportamento viscoielastico, mentre lo scorrimento di giunzioni rispetto alla matrice del materiale è veicolo di effetti plastici. Le equazioni costitutive vengono sviluppate usando le leggi della termodinamica. Esse contengono solo un parametro regolabile aggiuntivo rispetto alla formula di Lodge in viscoelasticità finita. Il modello è applicato allo studio degli sforzi e delle deformazioni residue in una barra in allungamento uniassiale ed in uno strato soggetto a semplice scorrimento. Si dimostra un discreto accordo tra i dati sperimentali per il polistirene ed il polietilene ad elevate temperature e i risultati di simulazioni numeriche.

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  1. Institute for Industrial Mathematics, 4 Hanachtom Street, Beersheba, 84311, Israel

    Aleksey D. Drozdov

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Drozdov, A.D. Viscoelastoplasticity of Rubbery Polymers at Finite Strains. Meccanica 34, 85–102 (1999). https://doi.org/10.1023/A:1004456828721

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