Abstract
With a finite element procedure on representative volume elements the relationship between the global energy release rate of small penny-shaped cracks within a widely extended hyperelastic continuum and general stress condition is investigated systematically. Based on the numerical results an empirical function is derived, which quantifies the relationship between this crack loading parameter and the surrounding stress state in terms of two continuum mechanical energy densities. It accounts for the sensitive, direction-independent crack loading in case of dilatational stress components as well as the influence of the crack orientation on the global energy release rate in the presence of distortional stress components. The derived empirical function is used to evaluate the material stress of a hyperelastic adhesive based on the crack propagation potential of small cracks that may exist within the adhesive layer, as exemplified by the poker-chip specimen and the bonded double cantilever beam specimen.
Published Version
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