A continuum damage model for the high-cycle fatigue life prediction of styrene-butadiene rubber under multiaxial loading

Ayoub, Georges; Naït-Abdelaziz, Moussa; Zaïri, Fahmi; Gloaguen, Jean‐Michel; Charrier, Pierre

doi:10.1016/j.ijsolstr.2011.04.003

Cited by 92 publications

(59 citation statements)

References 31 publications

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“…So, predicting the ultimate properties for such materials is a major challenge to ensure their reliability. For us to develop useful tools to design polymeric components up to failure, fracture could be approached using two ways of investigation, namely, fracture mechanics or continuum damage mechanics …”

Section: Introductionmentioning

confidence: 99%

A large‐strain intrinsic default‐based fracture criterion for polymers: assessment in biaxial loading and application to ageing

Sadeg

Naït-Abdelaziz

Zaïri

et al. 2017

Fatigue Fract Eng Mat Struct

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In this contribution, we attempt to give a general methodology allowing the fracture prediction of polymers under biaxial monotonic loading. Using the intrinsic defect concept, we assume that fracture at a macroscopic level is the consequence of the presence of defects at lower scales. We also assume that the fracture is governed by a macroscopic parameter, the strain energy release rate or the J‐integral. Intrinsic defect size, constitutive response and fracture toughness being the criterion inputs; the principal stretches at break can be therefore estimated for any biaxial and monotonic loading path. The proposed methodology includes the estimation of the J‐integral for any biaxial loading using a unified expression of this parameter which is a generalised form of that developed in the literature for uniaxial tension. Using different set of experimental data obtained in our team, the methodology is then successfully applied to various kinds of polymers: a natural rubber, a styrene‐butadiene rubber, a polyurethane, a thermoplastic elastomer and a high‐density polyethylene. We show also that such a methodology can be applied to predict the ageing effects on the stretches at break.

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Section: Introductionmentioning

confidence: 99%

A large‐strain intrinsic default‐based fracture criterion for polymers: assessment in biaxial loading and application to ageing

Sadeg

Naït-Abdelaziz

Zaïri

et al. 2017

Fatigue Fract Eng Mat Struct

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“…Contrary to the third basic property, n˜2 reaches values up to 1.6 on axial to torsion experiments (Zhang and Miller, 1996). Hence, although multiaxial SDV models (Ayoub et al, 2011;Chaudonneret, 1993) provide good predictions for the stress-life curve, they are short of describing the damage accumulation under variable loads. Multiple damage variables (Huyen et al, 2008;Altus, 2011, 2012) are necessary in order to describe this phenomenon.…”

Section: Rejovitzky and Altusmentioning

confidence: 94%

On single damage variable models for fatigue

Rejovitzky

Altus

2012

International Journal of Damage Mechanics

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This study focuses on an analytical investigation of the common characteristics of fatigue models based on a single damage variable. The general single damage variable constitutive equation is used to extract several fundamental properties. It is shown that at constant amplitude loads, damage evolution results are sufficient for predicting fatigue life under any load history. Two-level fatigue envelopes constitute an indirect measure of the damage evolution and form an alternative basis for life prediction. In addition, high-to-low and low-to-high envelopes are anti-symmetrical with respect to each other. A new integral formula for life prediction under random loads is verified with the models of Manson and Hashin, and also developed analytically for other models including Chaboche, resulting in analytical predictions. The Palmgren -Miner rule is found to yield an upper bound for fatigue life predictions under random loads, regardless of the load distribution and the specific single damage variable model.

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“…There have been many studies on establishing fatigue theory (Verreman and Guo, 2007;Deng et al, 2014;Peng et al, 2014;Soppa et al, 2014), mainly by means of fracture mechanics and continuum damage mechanics. Ayoub et al (2011) proposed a continuum damage model for high-cycle fatigue life prediction. Abdul-Baqi et al (2005) used a cohesive zone approach to develop a fatigue damage model.…”

Section: Introductionmentioning

confidence: 99%

Relationship among S-N curves corresponding to different mean stresses or stress ratios

Hou

2015

JZUS-A

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Abstract:It is well known that the mean stress or stress ratio of fatigue loadings has a strong effect on the shape of S-N curves. An understanding of the relationships among S-N curves corresponding to different mean stresses or stress ratios would be very useful in engineering applications. In this study, based on continuum damage mechanics, a mathematical expression of an S-N curve is deduced from a new damage evolution law. This mathematical expression can well represent the whole S-N curve, not only the linear part in bi-logarithmic diagrams, but also the transitional part near the fatigue limit. The effect of mean stress on an S-N curve is represented by two state parameters. The relationships between these state parameters and the mean stress are proposed and examined. By using these relationships, the concepts of equivalent symmetric amplitude and equivalent symmetric cycles are introduced. We have found that all S-N curves under non-symmetric states can be rearranged into the same curve as that of symmetric fatigue by adopting these equivalent parameters.

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A continuum damage model for the high-cycle fatigue life prediction of styrene-butadiene rubber under multiaxial loading

Cited by 92 publications

References 31 publications

A large‐strain intrinsic default‐based fracture criterion for polymers: assessment in biaxial loading and application to ageing

A large‐strain intrinsic default‐based fracture criterion for polymers: assessment in biaxial loading and application to ageing

On single damage variable models for fatigue

Relationship among S-N curves corresponding to different mean stresses or stress ratios

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