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The research reveals the existence of a constant characteristic time of preparatory micro-structural processes before the onset of macro-failure at various high loading rates of brittle and quasi-brittle materials. The presence of this…

Materials Science · Physics 2023-01-23 Ivan Smirnov

We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical…

Statistical Mechanics · Physics 2009-11-11 Uma Divakaran , Amit Dutta

We investigate the fracture process of a bundle of fibers with random Young modulus and a constant breaking strength. For two component systems we show that the strength of the mixture is always lower than the strength of the individual…

Disordered Systems and Neural Networks · Physics 2011-06-24 Ehud Karpas , Ferenc Kun

We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur,…

Statistical Mechanics · Physics 2009-10-30 M. Kloster , A. Hansen , P. C. Hemmer

Models of faults incorporating slip rate- and state-dependent friction have reproduced phenomena from spontaneous slow, aseismic slip to earthquake-generating dynamic rupture. Numerical explorations of model parameter space regularly show…

Geophysics · Physics 2026-03-26 Robert C. Viesca , Dmitry I. Garagash

We extend the model of surface granular flow proposed in \cite{bcre} to account for the effect of an external `wind', which acts as to dislodge particles from the static bed, such that a stationary state of flowing grains is reached. We…

Condensed Matter · Physics 2009-10-31 Orestis Terzidis , Philippe Claudin , Jean-Philippe Bouchaud

A standard quantitative method to access credit risk employs a factor model based on joint multivariate normal distribution properties. By extending a one-factor Gaussian copula model to make a more accurate default forecast, this paper…

Risk Management · Quantitative Finance 2020-10-07 Meng-Jou Lu , Cathy Yi-Hsuan Chen , Wolfgang Karl Härdle

Spatial and temporal features are studied with respect to their predictive value for failure time prediction in subcritical failure with machine learning (ML). Data are generated from simulations of a novel, brittle random fuse model (RFM),…

Materials Science · Physics 2022-08-16 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

We report on the dynamics of a model frictional system submitted to minute external perturbations. The system consists of a chain of sliders connected through elastic springs that rest on an incline. By introducing cyclic expansions and…

Classical Physics · Physics 2015-06-03 Baptiste Blanc , Luis A. Pugnaloni , Jean-Christophe Géminard

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

The mechanical characteristics of fibers (of various materials), as well as of fiber bundles, are of primary importance for the design and the mechanical behavior of textiles, or of fibrous and composite materials. These characteristics are…

Soft Condensed Matter · Physics 2026-03-17 Jerome Weiss

We find that factors explaining bank loan recovery rates vary depending on the state of the economic cycle. Our modeling approach incorporates a two-state Markov switching mechanism as a proxy for the latent credit cycle, helping to explain…

Risk Management · Quantitative Finance 2018-04-20 Hong Wang , Catherine S. Forbes , Jean-Pierre Fenech , John Vaz

We consider reversible breaking of adhesion bonds or folding of proteins under the influence of a constant external force. We discuss the stochastic properties of the unbinding/rebinding events and analyze their mean number and their…

Soft Condensed Matter · Physics 2009-11-13 Gregor Diezemann , Andreas Janshoff

A bonded particle model is used to explore how variations in the material properties of brittle, isotropic solids affect critical behavior in fragmentation. To control material properties, a new model is proposed which includes breakable…

Soft Condensed Matter · Physics 2023-09-14 Joel T. Clemmer , Mark O. Robbins

We study the scaling behaviors of a time-dependent fiber-bundle model with local load sharing. Upon approaching the complete failure of the bundle, the breaking rate of fibers diverges according to $r(t)\propto (T_f-t)^{-\xi}$, where $T_f$…

Disordered Systems and Neural Networks · Physics 2009-10-31 Shu-dong Zhang

Wounds in epithelial tissues compromise their vital role in homeostasis. A rapid and efficient wound healing encompasses different mechanisms, which includes the formation of a contractile actin-myosin cable around its edge, known as the…

Soft Condensed Matter · Physics 2024-03-22 R. F. Almada , N. A. M. Araujo , P. Patricio

Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of…

Biological Physics · Physics 2016-06-22 A. Sharma , A. J. Licup , R. Rens , M. Sheinman , K. A. Jansen , G. H. Koenderink , F. C. MacKintosh

The fiber bundle model is essentially an array of elements that break when sufficient load is applied on them. With a local loading mechanism, this can serve as a model for a one-dimensional interface separating the broken and unbroken…

Statistical Mechanics · Physics 2016-11-09 Soumyajyoti Biswas , Lucas Goehring

We present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model we derive the…

Soft Condensed Matter · Physics 2007-12-04 Michel Destrade , Giuseppe Saccomandi

We investigate a simple network, which has a branching-merging structure, using the totally asymmetric simple exclusion process, considering conflicts at the merging point. For both periodic and open boundary conditions, the system exhibits…

Statistical Mechanics · Physics 2023-10-05 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari
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