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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…

Disordered Systems and Neural Networks · Physics 2020-05-06 Subhadeep Roy , Takahiro Hatano

I adapted a model recently introduced in the context of seismic phenomena, to study creep rupture of materials. It consists of linear elastic fibers that interact in an equal load sharing scheme, complemented with a local viscoelastic…

Materials Science · Physics 2013-05-29 E. A. Jagla

Creep rupture of heterogeneous materials occurring under constant sub-critical external loads is responsible for the collapse of engineering constructions and for natural catastrophes. Acoustic monitoring of crackling bursts provides…

Disordered Systems and Neural Networks · Physics 2013-10-21 Zsuzsa Danku , Ferenc Kun

We study the creep behavior of a disordered brittle material (concrete) under successive loading steps, using acoustic emission and ultrasonic sensing to track internal damage. The primary creep rate is observed to follow a (Omori-type)…

Statistical Mechanics · Physics 2022-06-23 Tero Mäkinen , Jérôme Weiss , David Amitrano , Philippe Roux

When materials are loaded below their short-term strength over extended periods, a slow time-dependent process known as creep deformation takes place. During creep deformation, the structural properties of a material evolve as a function of…

Soft Condensed Matter · Physics 2019-07-10 David Fernandez Castellanos , Michael Zaiser

We study the creep response of solids to a constant external load in the framework of a novel fiber bundle model introduced. Analytical and numerical calculations showed that increasing the external load on a specimen a transition takes…

Statistical Mechanics · Physics 2007-05-23 Ferenc Kun , Yamir Moreno , Raul Cruz Hidalgo , Hans. J. Herrmann

The Omori-Utsu law shows the temporal power-law-like decrease of the frequency of earthquake aftershocks and, interestingly, is found in a variety of complex systems/phenomena exhibiting catastrophes. Now, it may be interpreted as a…

Geophysics · Physics 2023-07-11 Sumiyoshi Abe , Norikazu Suzuki , Dmitrii A. Tayurskii

We present creep experiments on fiber composite materials with controlled heterogeneity. Recorded strain rates and acoustic emission rates exhibit a power law relaxation in the primary creep regime (Andrade law) followed by a power law…

Materials Science · Physics 2009-11-10 H. Nechad , A. Helmstetter , R. El Guerjouma , D. Sornette

The response of spatially extended systems to a force leading their steady state out of equilibrium is strongly affected by the presence of disorder. We focus on the mean velocity induced by a constant force applied on one-dimensional…

Creep tests on heterogeneous materials under subcritical loading typically show a power-law decaying strain rate before failure, with the exponent often considered material-dependent but independent of applied stress. By imposing successive…

Statistical Mechanics · Physics 2025-12-22 Chloé Braux , Antoine Bérut , Loïc Vanel

The decay rate of aftershocks is commonly very well described by the modified Omori law, $n(t) \propto t^{-p}$, where n(t) is the number of aftershocks per unit time, t is the time after the main shock, and p is a constant in the range…

Statistical Mechanics · Physics 2015-06-24 Y. Moreno , A. Correig , J. B. Gomez , A. F. Pacheco

To understand the general properties of creep failure with healing effects, we study a mean-field fiber bundle model with probabilistic rupture and rejoining processes. The dynamics of the model are determined by two factors: bond breaking…

Statistical Mechanics · Physics 2022-03-01 Subhadeep Roy , Takahiro Hatano

We study the creep rupture of fiber composites in the framework of fiber bundle models. Two novel fiber bundle models are introduced based on different microscopic mechanisms responsible for the macroscopic creep behavior. Analytical and…

Statistical Mechanics · Physics 2011-03-28 Ferenc Kun , Raul Cruz Hidalgo , Hans J. Herrmann , Karoly F. Pal

In this work I have studied the effect of disorder and system size in fiber bundle model with a certain range of stress redistribution. The strength of the bundle as well as the failure abruptness is observed with varying disorder, stress…

Statistical Mechanics · Physics 2017-11-02 Subhadeep Roy

Stressed under a constant load, materials creep with a final acceleration of deformation and for any given applied stress and material, the creep failure time can strongly vary. We investigate creep on sheets of paper and confront the…

Statistical Mechanics · Physics 2025-12-03 Juan Carlos Verano-Espitia , Tero Mäkinen , Mikko J. Alava , Jérôme Weiss

We present a mesoscale elastoplastic model of creep in disordered materials which considers temperature-dependent stochastic activation of localized deformation events which are mutually coupled by internal stresses, leading to collective…

Materials Science · Physics 2018-09-26 David Fernandez Castellanos , Michael Zaiser

We estimate the rate of aftershocks triggered by a heterogeneous stress change, using the rate-and-state model of Dieterich [1994].We show that an exponential stress distribution Pt(au) ~exp(-tautau_0) gives an Omori law decay of…

Geophysics · Physics 2007-05-23 Agnes Helmstetter , Bruce E. Shaw

We discover a qualitatively new behavior for systems where the load transfer has limiting stress amplification as in real fiber composites. We find that the disorder is a relevant field leading to tri--criticality, separating a first-order…

Condensed Matter · Physics 2009-10-28 J. V. Andersen , D. Sornette , K. -T. Leung

Using the simplest possible ingredients of a rupture model with thermal fluctuations, we provide an analytical theory of three ubiquitous empirical observations obtained in creep (constant applied stress) experiments: the initial…

Materials Science · Physics 2009-11-10 A. Saichev , D. Sornette

Yield stress materials fail when the imposed stress crosses a critical threshold. A well-known dynamical response to the applied stress is the phenomenon of creep where the cumulative deformation grows sublinearly with time, prior to…

Soft Condensed Matter · Physics 2023-03-09 Suman Dutta , Kirsten Martens , Pinaki Chaudhuri
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