4.4 Article

An octahedral stress-based fracture criterion for hyperelastic materials

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SAGE PUBLICATIONS LTD
DOI: 10.1177/0954406220972136

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Hyperelastic material; biaxial test; non-linear behavior; fracture criterion; octahedral stress

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This study aims to establish a generalized rupture criterion for elastomers under plane stress loading, through a combination of experimental and theoretical approaches to find a new model for predicting the rupture of hyperelastic materials.
No uni?ed stress-based criterion exists, in the literature, for predicting the rupture of hyperelastic materials subjected to mutiaxial loading paths. This paper aims to establish a generalized rupture criterion under plane stress loading for elastomers. First, the experimental set up, at breaking, including various loading modes, is briefly described and commented. It consists of uniaxial tests, biaxial tests and pure shear tests, performed on different rubbers. The used vulcanizate and thermoplastic rubber materials are a Natural Rubber (NR), a Styrene Butadiene Rubber (SBR), a Polyurethane (PU) and a Thermoplastic elastomer (TPE). Then, we have investigated a new theoretical approach, based upon the principal stresses, to establish a failure criterion under quasi-static loadings. Thus, we have proposed a new analytical model expressed as a function of octahedral stresses. Quite good agreement is highlighted when comparing the ultimate stresses, at break, between the experimental data and the prediction of the proposed criteria using our rubber-like materials.

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