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In biological materials, strong binding despite an applied load force is often based on clusters of dynamic bonds that share the load. Different macroscopic behaviors have been described depending on whether the load is shared locally or…

Biological Physics · Physics 2025-09-11 Yannick Lüdemann , Stefan Klumpp , Komal Bhattacharyya

Fiber bundles with statistically distributed thresholds for breakdown of individual fibers are interesting models of the static and dynamics of failures in materials under stress. They can be analyzed to an extent that is not possible for…

Soft Condensed Matter · Physics 2009-09-29 Per C. Hemmer , Alex Hansen , Srutarshi Pradhan

We investigate how the dimensionality of the embedding space affects the microscopic crackling dynamics and the macroscopic response of heterogeneous materials. Using a fiber bundle model with localized load sharing computer simulations are…

Disordered Systems and Neural Networks · Physics 2019-03-01 Zsuzsa Danku , Geza Odor , Ferenc Kun

We study the subsampling of the avalanches in the fiber bundle model of fracture. In cases where only a part of the system is observed for the micro-failure events, the recorded avalanche statistics gets distorted compared to the actual…

Statistical Mechanics · Physics 2025-12-18 Narendra Kumar Bodaballa , Soumyajyoti Biswas

The two principal ingredients determining the failure modes of disordered solids are the level of heterogeneity and the length scale of the region affected in the solid following a local failure. While the latter facilitates damage…

Disordered Systems and Neural Networks · Physics 2018-01-10 Subhadeep Roy , Soumyajyoti Biswas , Purusattam Ray

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

Classical Physics · Physics 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

We study numerically and analytically the instabilities associated with phase separation in a solid layer on which an external material ux is imposed. The first instability is localized within a boundary layer at the exposed free surface by…

Materials Science · Physics 2018-01-17 Esteban Meca , Andreas Münch , Barbara Wagner

Modelling of rough frictional interfaces is often based on asperity models, in which the individual behaviour of individual microjunctions is assumed. In the absence of local measurements at the microjunction scale, quantitative comparison…

Soft Condensed Matter · Physics 2020-05-07 Julien Scheibert , Riad Sahli , Michel Peyrard

Cascading failures are a critical vulnerability of complex information or infrastructure networks. Here we investigate the properties of load-based cascading failures in real and synthetic spatially-embedded network structures, and propose…

Physics and Society · Physics 2017-09-21 Alaa Moussawi , Noemi Derzsy , Xin Lin , Boleslaw K. Szymanski , Gyorgy Korniss

We formulate the problem of probabilistic predictions of global failure in the simplest possible model based on site percolation and on one of the simplest model of time-dependent rupture, a hierarchical fiber bundle model. We show that…

Materials Science · Physics 2009-11-11 J. Andersen , D. Sornette

The fracture of end-linked polymer networks and gels has a significant impact on the performance of these versatile and widely used materials, and a molecular-level understanding of the fracture process is crucial for the design of new…

Soft Condensed Matter · Physics 2023-09-26 Han Zhang , Robert A. Riggleman

We investigate computationally the pullout of a spherical intruder initially buried at the bottom of a granular column. The intruder starts to move out of the granular bed once the pulling force reaches a critical value, leading to material…

Soft Condensed Matter · Physics 2021-01-05 Srujal Shah , Chao Cheng , Payman Jalali , Lou Kondic

We perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and non-fluctuating long-range hopping integrals . It was argued recently [A. Rodriguez at al.,…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. A. B. F. de Moura , A. V. Malyshev , M. L. Lyra , V. A. Malyshev , F. Dominguez-Adame

We investigate numerically and theoretically the precursory intermittent activity characterizing the preliminary phase of damage accumulation prior to failure of quasi-brittle solids. We use a minimal but thermodynamically consistent model…

Statistical Mechanics · Physics 2022-03-23 Estelle Berthier , Ashwij Mayya , Laurent Ponson

We study a cascading edge failure mechanism on a connected random graph with a prescribed degree sequence, sampled using the configuration model. This mechanism prescribes that every edge failure puts an additional strain on the remaining…

Probability · Mathematics 2023-07-18 Fiona Sloothaak , Lorenzo Federico

We argue that nucleation of brittle cracks in initially flawless soft elastic solids is preceded by a nonlinear elastic instability, which cannot be captured without accounting for geometrical precise description of finite elastic…

Soft Condensed Matter · Physics 2024-06-17 D. Riccobelli , P. Ciarletta , G. Vitale , C. Maurini , L. Truskinovsky

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

We present an experimental and theoretical study of the fatigue failure of asphalt under cyclic compression. Varying the load amplitude, experiments reveal a finite fatigue limit below which the specimen does not break, while approaching…

Materials Science · Physics 2007-05-23 F. Kun , M. H. A. S. Costa , R. N. Costa Filho , J. S. Andrade , J. B. Soares , S. Zapperi , H. J. Herrmann

In this paper, we study the localization phenomena in a slender cylinder composed of an incompressible hyperelastic material subjected to axial tension. We aim to construct the analytical solutions based on a three-dimensional setting and…

Classical Physics · Physics 2007-11-20 Huihui Dai , Yanhong Hao , Zhen Chen

Large-scale molecular simulations are performed to investigate tensile failure of polymer interfaces as a function of welding time $t$. Changes in the tensile stress, mode of failure and interfacial fracture energy $G_I$ are correlated to…

Soft Condensed Matter · Physics 2014-10-09 Ting Ge , Gary S. Grest , Mark O. Robbins
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