Cavitation criterion for rubber materials: A review of void‐growth models

Abstract

The principal criteria used to predict cavitation in rubber materials are reviewed, and experimental evidence is recalled for three different configurations: in the bulk, in the vicinity of a rigid particle, and in small rubber particles embedded in a rigid polymer matrix. Two major classes of cavitation criteria are defined, those based on an elastic instability (i.e., related to a stress state and finite strains) and those based on the energy balance (i.e., involving surface energies). The different criteria, in which various hyperelastic behavior laws are considered, are compared in numerical applications, and the tendencies are derived. The particular case of accounting for the surface tension of the rubber, a parameter common to the stress state and the energy balance, is treated in detail. It appears that the understanding of the genesis of a microcavity in a rubber material, when no pre-existing flaw is assumed, still constitutes a difficulty for the analysis of mechanical damage in polymers containing a rubber phase.

Onset of Cavitation in Compressible, Isotropic, Hyperelastic Solids

“…Similar observations were later reported by Lindsey [5]. More recently, the occurrence of cavitation has also been observed in the vicinity of inclusions in particle-reinforced elastomers [6,7], as well as in the rubber phase of rubber-toughened glassy polymers (see, e.g., [8][9][10]). …”

“…In spite of the fact that the "stress" and "strain" measures in this fictitious linear thermoelasticity problem are non-symmetric (and therefore L does not have minor symmetries), it is straightforward to verify that the Green's function methods developed by Willis [40,41] for standard material systems (i.e., with symmetric stress and strain measures) are equally applicable in this context. 10 The pertinent derivation is a trivial generalization of the results presented in Sect. VI.B of [41] and thus will not be included here.…”

“…Radially symmetric cavitation problems in anisotropic materials have been studied, for instance, by Antman and Negrón-Marrero [20] and by Polignone and Horgan [21]. Extensions considering dynamic and surface-energy effects have also been examined by other researchers (see, e.g., [10,22]). For a review on radially symmetric cavitation, the interested reader is referred to [23].…”

Effect of Strain Rate on Microscopic Deformation Behavior of High-density Polyethylene under Uniaxial Stretching

“…It has been proposed that the increase of the strain rate promotes the cavitation and the void formation with necking [10,32], resulting in the release of the internal negative pressure which is induced by the Poisson contraction during the uniaxial stretching [48,49]. Under hydrostatic pressure [44], the CH2 bending modes at 1440 and 1460 cm -1 and the CC symmetric stretching mode at 1130 cm -1 show blue shifts and the CH2 bending modes at 1418 cm -1 shows red shift.…”

Cavitation instability as a trigger of aneurysm rupture

“…Theoretical considerations of the expansion of bulk voids in various materials have a long history (e.g., Williams and Schapery 1965;Durban and Baruch 1976;Bassani et al 1980;Ball 1982;Abeyaratne and Horgan 1985;Gent 1990;Huang et al 1991;Hou and Abeyaratne 1992;Horgan and Polignone 1995;Fond 2001;Lopez-Pamies 2009;Henao 2009;Volokh 2011b). However, nobody (to the best of our knowledge) considered the aneurysmal or arterial tissues.…”