Abstract
Creep is a time-dependent deformation of solids at relatively low stresses, leading to the breakdown with time. Here we propose a simple model for creep failure of disordered solids, in which temperature and stress are controllable. Despite its simplicity, this model can reproduce most experimental observations. Time dependence of the strain rate is well fitted with power laws resembling the Omori-Utsu and the inverse Omori laws in the primary and the tertiary creep regimes, respectively. Distribution of the creep lifetime obeys the log-normal distribution, and the average creep lifetime decays in a scale-free manner with the increasing stress. The above results are in good agreement with experiments. Additionally, the mean avalanche size as a function of temperature exhibits a series of jumps, and finite-size scaling implies the existence of phase transitions.
Highlights
Failure point and the failure processes of disordered solids and composite materials depend on temperature, pressure, and driving conditions such as applied stress or strain rate [1]
Materials can deform and break with time, even if the applied stress is below the critical value
The effect of temperature in creep failure is probed by a fiber bundle model with a probabilistic algorithm
Summary
Failure point and the failure processes of disordered solids and composite materials depend on temperature, pressure, and driving conditions such as applied stress or strain rate [1]. Model can reproduce the time-dependent strain rate observed in experiments Another approach has obtained popularity, making use of a simple and intuitive model for disordered solids known as the fiber bundle model (FBM) [5]. One can consider damage rheology for each fiber [21] These models may be categorized into the second approach, and they can reproduce time-dependent strain rate as well as the temperature and the stress dependences of creep lifetime. We are aware of two relevant studies [22,23] They adopt as the failure rate some probability functions that are similar to the Arrhenius factor, but the creep behaviors are not thoroughly investigated. We have numerically studied the model focusing on the effects of temperature and applied stress on the creep behaviors: statistics of the creep lifetime and the avalanche statistics. This is followed by the numerical results together with some brief comments and discussions on the future scope as a continuation of the present observations
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