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The DNLR approach and relaxation phenomena. Part II, Application: volume recovery of PVAc : comparison between the DNLR approach and some other modellings
Aharoune, A. ; Marceron-Balland, P. ; Cunat, C.
Classically constitutive equations can be obtained following different ways. Irreversible thermodynamics is often used for that purpose. In this paper, we want to examine the ability of a spectral ...analysis of dissipation called DNLR approach (Distribution of Non Linear Relaxations) to take the main specific aspects of relaxation phenomena into account as those experimentally well established by Kovacs (1963) for PVAc volume recoveries: i.e. the existence of a relaxation spectrum and of non-linearities in the kinetics. Note that this tool was developed and successfully applied in other fields (see, for example, Cunat, 1996; Ayadi et al., 1999; Sauter et al., 1999), especially in order to describe viscolelasticity or viscoplasticity in mechanics, even for complex paths of loading. First of all, two different levels of approximation in the general thermodynamic schema of the DNLR formalism are examined in order to verify that the approach of the equilibrium is better by taking account of coupling effects between volume and entropy recovery. Afterwards, we discuss our method of modelling by comparison with five other well-known models for the same experiments: the Kahr model, the Moynihan et al. formulation, the Ngai et al. model, the Robertson description and the Caruthers et al. analysis.
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