Andrade and Critical Time-to-Failure Laws in Fiber-Matrix Composites: Experiments and Model
arXiv:cond-mat/0404035 · doi:10.1016/j.jmps.2004.12.001
Abstract
We present creep experiments on fiber composite materials. Recorded strain rates and acoustic emission (AE) rates exhibit both a power law relaxation in the primary creep regime and a power-law acceleration before global failure. In particular, we observe time-to-failure power laws in the tertiary regime for acoustic emissions over four decades in time. We also discover correlations between some characteristics of the primary creep (exponent of the power-law and duration) and the time to failure of the samples. This result indicates that the tertiary regime is dependent on the relaxation and damage processes that occur in the primary regime and suggests a method of prediction of the time to failure based on the early time recording of the strain rate or AE rate. We consider a simple model of representative elements, interacting via democratic load sharing, with a large heterogeneity of strengths. Each element consists of a non-linear dashpot in parallel with a spring. This model recovers the experimental observations of the strain rate as a function of time.
arXiv comment31 pages, 20 eps figures
References in corpus (11)
- Mainshocks are aftershocks of conditional foreshocks: How do foreshock statistical properties emerge from aftershock laws
- Tri-critical behavior in rupture induced by disorder
- Critical Ruptures
- Positive Feedback, Memory and the Predictability of Earthquakes
- Creep rupture of viscoelastic fiber bundles
- The effect of disorder on the fracture nucleation process
- Failure time and critical behaviour of fracture precursors in heterogeneous materials
- Failure time in the fiber-bundle model with thermal noise and disorder
- Andrade, Omori and Time-to-failure Laws from Thermal Noise in Material Rupture
- Self-Similar Law of Energy Release before Materials Fracture
- Self-Similar Extrapolation for the Law of Acoustic Emission Before Failure of Heterogeneous Materials
Cited by in corpus (24)
- Failure Processes in Elastic Fiber Bundles
- Dragon-kings: mechanisms, statistical methods and empirical evidence
- Seismic precursory patterns before a cliff collapse and critical-point phenomena
- Bodily tides near spin-orbit resonances
- Timescales in creep and yielding of attractive gels
- Creep and Fracture of a Protein Gel under Stress
- Apparent Clustering and Apparent Background Earthquakes Biased by Undetected Seismicity
- Power-law creep and residual stresses in a carbopol microgel
- Electro-Magnetic Earthquake Bursts and Critical Rupture of Peroxy Bond Networks in Rocks
- Icequakes coupled with surface displacements for predicting glacier break-off
- Statistical properties of microcracking in polyurethane foams under tensile test, influence of temperature and density
- Rigidity-Controlled Crossover: From Spinodal to Critical Failure
- Relaxation dynamics in strained fiber bundles
- Gravity-driven instabilities: interplay between state-and-velocity dependent frictional sliding and stress corrosion damage cracking
- Creep rupture of materials: insights from a fiber bundle model with relaxation
- Record breaking bursts in a fiber bundle model of creep rupture
- Mean field fracture in disordered solids: statistics of fluctuations
- Creep-like behavior in athermal threshold dynamics: Effects of disorder and stress
- Crack Localization and the Interplay between Stress Enhancement and Thermal Noise
- Random stress and Omori's law
- Creep failure in a threshold activated dynamics: Role of temperature during a sub-critical loading
- Icequakes as precursors of ice avalanches
- A damage model based on failure threshold weakening
- Time dependent fracture under unloading in a fiber bundle model