A fracture criterion of rubber-like materials under plane stress conditions

Hamdi, Adel; Naït-Abdelaziz, Moussa; Hocine, Nourredine Aït; Heuillet, P.; Benseddiq, Noureddine

doi:10.1016/j.polymertesting.2006.06.005

Cited by 96 publications

(98 citation statements)

References 14 publications

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“…[26] Two approaches exist to predict the rupture of a stretchable device. In one approach, the designer assumes a flawless device, calculates the field of deformation using the nonlinear theory of elasticity, and predicts rupture if any material point in the device reaches a critical state of deformation [35][36][37][38][39][40][41][42][43]. In the other approach, the designer identifies a flaw in the device, calculates the energy release rate using the nonlinear theory of elasticity, and predicts rupture if the energy release rate reaches the fracture energy [44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

Flaw sensitivity of highly stretchable materials

Chen

Wang

Suo

2017

Extreme Mechanics Letters

177

135

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Elastomers and gels can often deform multiple times their original length. The stretchability is insensitive to small cuts in the samples, but reduces markedly when the cuts are large. We show that this transition occurs when the depth of cut exceeds a material-specific length, defined by the ratio of the fracture energy measured in the large-cut limit and the work to rupture measured in the small-cut limit. This conclusion generalizes a result in the fracture mechanics of hard materials. For an acrylic elastomer and a polyurethane, we measure the stretch to rupture as a function of the depth of cut, and show that the experimental data agree well with the prediction of the nonlinear elastic fracture mechanics. In a space of material properties we compare many materials (elastomers, gels, ceramics, glassy polymers, biomaterials, and metals), and find that the material-specific length varies from nanometers to centimeters.

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Section: Introductionmentioning

confidence: 99%

Flaw sensitivity of highly stretchable materials

Chen

Wang

Suo

2017

Extreme Mechanics Letters

177

135

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“…2 for both cases with and without the energy limiter. Material failure takes place at the critical limit point in correspondence with tests conducted by Hamdi et al (2006).…”

Section: Constitutive Equationsmentioning

confidence: 81%

Fracture as a material sink

Volokh

2017

Mater Theory

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Cracks are created by massive breakage of molecular or atomic bonds. The latter, in its turn, leads to the highly localized loss of material, which is the reason why even closed cracks are visible by a naked eye. Thus, fracture can be interpreted as the local material sink. Mass conservation is violated locally in the area of material failure. We consider a theoretical formulation of the coupled mass and momenta balance equations for a description of fracture. Our focus is on brittle fracture and we propose a finite strain hyperelastic thermodynamic framework for the coupled mass-flow-elastic boundary value problem. The attractiveness of the proposed framework as compared to the traditional continuum damage theories is that no internal parameters (like damage variables, phase fields, etc.) are used while the regularization of the failure localization is provided by the physically sound law of mass balance.

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“…However, it has been shown ) that also the Kawabata's failure criterion is suited for the study of DE materials and simpler to use when designing. This criterion (Hamdi et al, 2006) postulates that the mechanical failure of polymers under any loading path occurs when any principal stretch equals or exceeds the value of the stretch at break measured under uniaxial tension, that is:…”

Section: De Design Constraintsmentioning

confidence: 99%