Interfacial Cavitation with Surface Tension: New Insights into Failure of Particle Reinforced Polymers

Abstract: Understanding and mitigating the failure of reinforced elastomers has been a long-standing challenge in many industrial applications. In an early attempt to shed light on the fundamental mechanisms of failure, Gent and Park presented a systematic experimental study examining the field that develops near rigid beads that are embedded in the material and describe two distinct failure phenomena: cavitation that occurs near the bead in the bulk of the material, and debonding at the bead-rubber interface [Gent, A.N. and Park, B., 1984. Journal of Materials Science, 19, pp.1947-1956]. Although the interpretation of their results has not been challenged, several questions stemming from their work remain unresolved -- specifically, the reported dependence of the cavitation stress on the diameter of the bead and the counterintuitive relationship between the delamination threshold and the material stiffness. In this work, we revisit the work of Gent and Park and consider an alternative explanation of their observations, interfacial cavitation. A numerically validated semi-analytical model shows that in presence of surface tension, defects at the bead-rubber interface may be prone to cavitate at lower pressures compared to bulk cavitation, and that surface tension can explain the reported length-scale effects. A phase-map portrays the distinct regions of cavitation dominated' anddelamination dominated' failure and confirms that for the expected range of material properties of the rubbers used by Gent and Park, interfacial cavitation is a likely explanation. Crucially, this result offers a new avenue to tune and optimize the performance of reinforced polymers and other multi-material systems.