Abstract
In this paper, the relationship between the tearing energy and the far-field cracking energy density (CED) is evaluated for an embedded penny-shaped flaw in a 3D elastomer body under a range of loading modes. A 3D finite element model of the system is used to develop a computational-based fracture mechanics approach which is used to evaluate the tearing energy at the crack in different multiaxial loading states. By analysing the tearing energy’s relationship to the far-field CED, the proportionality parameter in the CED formulation is found to be a function of stretch and biaxiality. Using a definition of biaxiality that gives a unique value for each loading mode, the proportionality parameter becomes a linear function of stretch and biaxiality. Tearing energies predicted through the resulting equation show excellent agreement to those calculated computationally.
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Acknowledgements
The authors would like to thank Schlumberger for funding and supporting this research. They would also like to thank Clwyd Compounders for providing the elastomers used.
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Windslow, R.J., Hohenberger, T.W., Busfield, J.J.C. (2020). Determination of the Loading Mode Dependence of the Proportionality Parameter for the Tearing Energy of Embedded Flaws in Elastomers Under Multiaxial Deformations. In: Heinrich, G., Kipscholl, R., Stoček, R. (eds) Fatigue Crack Growth in Rubber Materials. Advances in Polymer Science, vol 286. Springer, Cham. https://doi.org/10.1007/12_2020_66
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DOI: https://doi.org/10.1007/12_2020_66
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