Rupture Pressure Prediction for Composite High Pressure Tanks Using Acoustic Emission

Anifrani, J.-C.; Floc’h, C. Le; Sornette, Didier; Souillard, B.; Vanneste, Christian

doi:10.1007/978-1-4615-5947-4_61

Cited by 4 publications

(13 citation statements)

References 17 publications

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“…This announces the global breakdown. It is interesting that the exponent 1/2 is close to the value found for acoustic emissions in experiments [2,9,11,12].…”

Section: Beyond the Mean Field Version By Functional Renormalizationsupporting

confidence: 76%

“…Based on analogies with phase transitions, several groups [2]- [12] have proposed that, in heterogeneous materials with disorder such as fiber composites, rocks, concrete under compression and materials with large distributed residual stresses, rupture is a genuine critical point, i.e., the culmination of a self-organization of diffuse damage and micro-cracking characterized by power law signatures. Experiments [2,7,9,11,12], numerical simulations [5,6,8,10] and theory [8] confirm this concept.…”

Section: Introductionmentioning

confidence: 76%

“…This behavior (1) has been at the basis of previous claims that rupture is a critical phenomenon. In addition, this power law (1) as well as extensions with log-periodic corrections have been suggested to be useful for prediction [13,2,3,11,12]. Our purpose here is to present, extend and analyze a simple self-consistent model of damage that predicts a behavior similar to (1).…”

Section: Introductionmentioning

confidence: 99%

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Self-consistent theory of rupture by progressive diffuse damage

Gluzman

Sornette

2001

Phys. Rev. E

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We analyze a self-consistent theory of crack growth controlled by a cumulative damage variable d(t) dependent on stress history. As a function of the damage exponent m, which controls the rate of damage dd/dt ∝ σ m as a function of local stress σ, we find two regimes. For 0 < m < 2, the model predicts a finite-time singularity. This retrieves previous results by Zobnin for m = 1 and by Bradley and Wu for 0 < m < 2. To improve on this self-consistent theory which neglects the dependence of stress on damage, we apply the functional renormalization method of Yukalov and Gluzman and find that divergences are replaced by singularities with exponents in agreement with those found in acoustic emission experiments. For m ≥ 2, the rupture dynamics is not defined without the introduction of a regularizing scheme. We investigate three regularization schemes involving respectively a saturation of damage, a minimum distance of approach to the crack tip and a fixed stress maximum. In the first and third schemes, the finite-time singularity is replaced by a crack dynamics defined for all times but which is controlled by either the existence of a microscopic scale at which the stress is regularized or by the maximum sustainable stress. In the second scheme, a finite-time singularity is again found. In the first two schemes within this regime m ≥ 2, the theory has no continuous limit.

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“…This announces the global breakdown. It is interesting that the exponent 1/2 is close to the value found for acoustic emissions in experiments [2,9,11,12].…”

Section: Beyond the Mean Field Version By Functional Renormalizationsupporting

confidence: 76%

Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

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Self-consistent theory of rupture by progressive diffuse damage

Gluzman

Sornette

2001

Phys. Rev. E

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“…Table 3: Post-diction using the (H, q)-analysis on the cumulative energy release of tanks # 1, # 2, # 3, # 4 and # 6. Columnsp (1) c andp (2) c list the predicted critical pressurep c and its corresponding upper threshold in the parenthesis with the constraint (16) for k = 4/3 and k = 1 respectively. The meaning of the other columns are the same as in Table 1.…”

Section: Post-diction Of Rupturesmentioning

confidence: 99%

“…The columnsp (1) c andp (2) c list the predicted critical pressurep c and its corresponding upper threshold in the parenthesis with the constraint (16) for the two choices k = 4/3 and k = 1 respectively. The prediction for experiment # 1 is very good.…”

Section: Post-diction Of Rupturesmentioning

confidence: 99%

Generalizedqanalysis of log-periodicity: Applications to critical ruptures

Zhou

Sornette

2002

Phys. Rev. E

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We introduce a generalization of the q-analysis, which provides a novel non-parametric tool for the description and detection of log-periodic structures associated with discrete scale invariance. We use this generalized q analysis to construct a signature called the (H, q)-derivative of discrete scale invariance, which we use to detect the log-periodicity in the energy release rate and its cumulative preceding the rupture of five pressure tanks made of composite carbonmatrix material. We investigate the significance level of the spectral Lomb periodogram of the optimal (H, q)-derivative. We confirm and strengthen previous parametric results that the energy release rate and it cumulative exhibit log-periodicity before rupture. However, our tests to use this method as a scheme for the prediction of the critical value of the stress at rupture are not encouraging.

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Signatures of discrete scale invariance inD_sttime series

Balasis

Papadimitriou²,

Daglis

et al. 2011

Geophys. Res. Lett.

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[1] Self-similar systems are characterized by continuous scale invariance and, in response, the existence of power laws. However, a significant number of systems exhibits discrete scale invariance (DSI) which in turn leads to logperiodic corrections to scaling that decorate the pure power law. Here, we present the results of a search of log-periodic corrections to scaling in the squares of D st index increments which are taken as proxies of the energy dissipation rate in the magnetosphere. We show that D st time series exhibit DSI and discuss the consequence of this feature, as well as the possible implications of D st DSI on space weather forecasting efforts.

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Rupture Pressure Prediction for Composite High Pressure Tanks Using Acoustic Emission

Cited by 4 publications

References 17 publications

Self-consistent theory of rupture by progressive diffuse damage

Self-consistent theory of rupture by progressive diffuse damage

Generalizedqanalysis of log-periodicity: Applications to critical ruptures

Signatures of discrete scale invariance inD_sttime series

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Rupture Pressure Prediction for Composite High Pressure Tanks Using Acoustic Emission

Cited by 4 publications

References 17 publications

Self-consistent theory of rupture by progressive diffuse damage

Self-consistent theory of rupture by progressive diffuse damage

Generalizedqanalysis of log-periodicity: Applications to critical ruptures

Signatures of discrete scale invariance inDsttime series

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Product

Resources

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Signatures of discrete scale invariance inD_sttime series