Abstract
In certain cases it is possible to construct work potentials and J-like path-independent integrals for monolithic or composite nonlinear viscoelastic media. In this paper we discuss some situations in which such quantities exist and are useful in the study of quasi-static initiation and continuation of crack growth. The so-called quasi-elastic approximation and a constitutive equation in the form of a single hereditary integral provide the basis for using J or J-like integrals as fracture characterizing parameters during initiation and the early stages of crack growth. It is also shown that in some cases with significant crack growth the instantaneous crack speed can be characterized in terms of a similar path-independent integral. The problem of characterizing growth of large cracks in viscoelastic media with micro-damage is discussed briefly.
Résumé
Dans certains cas, on peut construire les potentiels de travail et les intégrales indépendantes du parcours, du type intégrale J, pour des milieux visco-élastiques non linéaires monolythiques ou composites.
Dans ce mémoire, on discute de certaines situations où de telles valeurs existent et sont utiles à l'étude de l'amorçage quasi-statique et à la propagation de fissures.
L'approximation dite quasi-élastique, est une équation constitutive sous forme d'une intégrale simple, fournissant la base d'utilisation de l'intégrale J ou des intégrales du même type comme paramètres de caractérisation de la rupture au cours de l'amorçage et des premières étapes de la propagation.
On montre également que dans certains cas de croissance significative de la fissure, la vitesse instantanée de croissance peut être caractérisée par une intégrale similaire indépendante du parcours.
On discute brièvement du probléme de la caractérisation de la croissance de grandes fissures dans des milieux visco-élastiques présentant un endommagement microscopique.
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Schapery, R.A. On some path independent integrals and their use in fracture of nonlinear viscoelastic media. Int J Fract 42, 189–207 (1990). https://doi.org/10.1007/BF00018386
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DOI: https://doi.org/10.1007/BF00018386