Abstract

A subcritical load on a disordered material can induce creep damage. The creep rate in this case exhibits three temporal regimes viz. an initial decelerating regime followed by a steady-state regime and a stage of accelerating creep that ultimately leads to catastrophic breakdown. Due to the statistical regularities in the creep rate, the time evolution of creep rate has often been used to predict residual lifetime until catastrophic breakdown. However, in disordered samples, these efforts met with limited success. Nevertheless, it is clear that as the failure is approached, the damage become increasingly spatially correlated, and the spatio-temporal patterns of acoustic emission, which serve as a proxy for damage accumulation activity, are likely to mirror such correlations. However, due to the high dimensionality of the data and the complex nature of the correlations it is not straightforward to identify the said correlations and thereby the precursory signals of failure. Here we use supervised machine learning to estimate the remaining time to failure of samples of disordered materials. The machine learning algorithm uses as input the temporal signal provided by a mesoscale elastoplastic model for the evolution of creep damage in disordered solids. Machine learning algorithms are well-suited for assessing the proximity to failure from the time series of the acoustic emissions of sheared samples. We show that materials are relatively more predictable for higher disorder while are relatively less predictable for larger system sizes. We find that machine learning predictions, in the vast majority of cases, perform substantially better than other prediction approaches proposed in the literature.

Highlights

  • A subcritical load on a disordered material can induce creep damage

  • There are multiple issues in using that observation for failure time forecasting: (i) in analyzing time series for an individual sample, it is often difficult to identify a unique minimum for the strain rate

  • The model has been successful in reproducing the temporal regimes of creep, the statistics of damage accumulation in the form of avalanches, and the observation of progressive strain localization in the approach to f­ailure[2,3]

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Summary

Introduction

A subcritical load on a disordered material can induce creep damage. The creep rate in this case exhibits three temporal regimes viz. an initial decelerating regime followed by a steady-state regime and a stage of accelerating creep that leads to catastrophic breakdown. More detailed information can be drawn from analysis of the spatiotemporal pattern of energy releases as local creep damage accumulates in a material subject to subcritical load. There are multiple issues in using that observation for failure time forecasting: (i) in analyzing time series for an individual sample, it is often difficult to identify a unique minimum for the strain rate This problem is pronounced when the creep strain rate is itself a stochastic, highly intermittent process; (ii) while empirical observation indicates, on average, a linear relation between tm and tf , the scatter is high especially for highly disordered samples; (iii) the prediction for tf necessarily requires waiting until tm can be reliably identified. Given that experimentally observed tm already amount to 60% of tf and that larger times are needed to reliably identify a minimum, the resulting prediction might be too late to be u­ seful[8]

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