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• W2556803818 abstract "Summary This work deals with modified constitutive equations for the viscoplastic behaviour of homogeneous glassy polymers at isothermal loading. A procedure for determining model parameters is proposed. The modified model is next coupled with a micromechanic formulation to investigate the macroscopic mechanical response of RT-PMMA. The glassy polymers behaviour is known to be highly nonlinear and sensitive to many parameters like strain rate and temperature. Traditionally, viscoplastic behaviour of glassy polymers is studied by testing under constant strain rates. This behaviour is generally characterized by intrinsic strain softening immediately after yield, followed by progressive strain hardening. Since the viscoplastic deformation mechanisms are not very well understood, certain authors have introduced an approach based on phenomenological considerations by using for example models developed for metals. Indeed, although the deformation mechanisms of polymers and metals are different, on a phenomenologic point of view, such viscoplastic constitutive equations can be used to model the nonlinear and strain rate dependent behaviour of polymers. Particularly, by considering macroscopic formulations, constitutive models based upon internal state variables can be used to simulate flow molecular resistance. The effects of temperature are not considered in order to simplify constitutive equations and the phenomena such as relaxation and recovery are not accounted for in these. The strain rate is decomposed into an elastic and a viscoplastic part. In this study, the Bodner and Partom state variable constitutive equations [1] has been used to describe the highly nonlinear behaviour and strain rate sensitivity of glassy polymers. Such a model is based upon a thermodynamics formalism of irreversible processes and has been originally developed for metals viscoplasticity. The cumulated viscoplastic strain rate expression used in this investigation is a simplified form of that proposed by Frank and Brockman [2]. To account for the effect of strain softening a new internal state variable has been also introduced. A method for the determination of the seven independent strain rate material parameters is developed, using tension or compression simple tests across a variety of strain rates. The yield stress allows to determine two parameters, the others are determined from the work hardening rate [1]. The nonlinear differential equations, of the viscoplastic modified model, are integrated using an explicit integration scheme. The trapezoidal method is employed in this study. The parameters of the modified model are determined, in a first step, from isothermal uniaxial experimental data extracted from the literature of two representative glassy polymers (amorphous PET and PMMA). A good agreement is observed between experimental data and the predictions of the modified model. VISCOPLASTIC MODEL INCLUDING DAMAGE" @default.
• W2556803818 created "2016-11-30" @default.
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• W2556803818 date "2004-01-01" @default.
• W2556803818 modified "2023-09-24" @default.
• W2556803818 title "A CONSTITUTIVE LAW FOR GLASSY POLYMERS AND BLENDS" @default.
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