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We study numerically the failure of an interface joining two elastic materials under load using a fiber bundle model connected to an elastic half space. We find that the breakdown process follows the equal load sharing fiber bundle model…

Computational Physics · Physics 2012-09-18 Arne Stormo , Knut Skogstrand Gjerden , Alex Hansen

We present an extension of fiber bundle models considering that failed fibers still carry a fraction $0 \leq \alpha \leq 1$ of their failure load. The value of $\alpha$ interpolates between the perfectly brittle failure $(\alpha = 0)$ and…

Statistical Mechanics · Physics 2009-11-11 F. Raischel , F. Kun , H. J. Herrmann

We study the failure properties of fiber bundles with a finite lower cutoff of the strength disorder varying the range of interaction between the limiting cases of completely global and completely local load sharing. Computer simulations…

Statistical Mechanics · Physics 2009-11-11 Frank Raischel , Ferenc Kun , Hans J. Herrmann

We propose a novel model for the shear failure of a glued interface between two solid blocks. We model the interface as an array of elastic beams which experience stretching and bending under shear load and break if the two deformation…

Materials Science · Physics 2015-06-25 F. Raischel , F. Kun , H. J. Herrmann

Multi-material lightweight designs, e.g. the combination of aluminum with fiber-reinforced composites, are a key feature for the development of innovative and resource-efficient products. The connection properties of such bi-material…

Materials Science · Physics 2021-08-20 Franz Hirsch , Markus Kästner

As a model of composite materials, a bundle of many fibers with stochastically distributed breaking thresholds for the individual fibers is considered. The bundle is loaded until complete failure to capture the failure scenario of composite…

Statistical Mechanics · Physics 2010-09-20 Srutarshi Pradhan , Per C. Hemmer

The failure of brittle solids involves, before macroscopic rupture, power-law distributed avalanches of local rupture events whereby microcracks nucleate and grow, which are also observed in for an elastic interface evolving in a…

Soft Condensed Matter · Physics 2019-03-01 Vincent Démery , Véronique Dansereau , Estelle Berthier , Laurent Ponson , Jérôme Weiss

We consider the Equal-Load-Sharing Fiber Bundle Model as a model for composite materials under stress and derive elastic energy and damage energy as a function of strain. With gradual increase of stress (or strain) the bundle approaches a…

Statistical Mechanics · Physics 2019-03-12 Srutarshi Pradhan , Jonas T. Kjellstadli , Alex Hansen

Thin layers of elastomers bonded to two rigid plates demonstrate unusual failure response. Historically, it has been believed that strongly-bonded layers fail by two distinct mechanisms: (i) internal/external penny-shaped crack nucleation…

Soft Condensed Matter · Physics 2025-07-15 Aarosh Dahal , Aditya Kumar

We study the failure properties of fiber bundles when continuous rupture goes on due to the application of external load on the bundles. We take the two extreme models: equal load sharing model (democratic fiber bundles) and local load…

Statistical Mechanics · Physics 2009-11-10 Srutarshi Pradhan , Bikas K. Chakrabarti

We investigate the global failure threshold of an interconnected set of elements, when a finite fraction of the elements initially share an externally applied load. The study is done under the framework of random fiber bundle model, where…

Statistical Mechanics · Physics 2018-07-09 Soumyajyoti Biswas , Parongama Sen

As a model of composite material, the fiber bundle model has been chosen -where a bundle of fibers is subjected to external load and fibers have distributed thresholds. For different loading conditions, such a system shows few precursors…

Materials Science · Physics 2015-05-19 Srutarshi Pradhan

The distribution of the magnitudes of damage avalanches during a failure process typically follows a power law. When these avalanches are recorded close to the point at which the system fails catastrophically, we find that the power law has…

Materials Science · Physics 2009-08-03 Srutarshi Pradhan , Alex Hansen , Per C. Hemmer

We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the micro-structure of the material and the complex…

Disordered Systems and Neural Networks · Physics 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main

The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers change. Even though very simple, the model captures the…

Statistical Mechanics · Physics 2015-05-13 Srutarshi Pradhan , Alex Hansen , Bikas K. Chakrabarti

Dynamic rupture propagation along an interface between two different elastic solids under shear dominated loading is studied numerically by a 2-D lattice particle model (LPM). The configuration of the lattice particle model consists of two…

Geophysics · Physics 2008-07-21 Baoping Shi , Yanheng Li

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented…

Materials Science · Physics 2015-05-13 Robert Spatschek , Clemens Gugenberger , Efim Brener

We analyze the failure process of a two-component system with widely different fracture strength in the framework of a fiber bundle model with localized load sharing. A fraction 0\leq \alpha \leq 1 of the bundle is strong and it is…

Disordered Systems and Neural Networks · Physics 2013-10-08 K. Kovacs , R. C. Hidalgo , I. Pagonabarraga , F. Kun

The failure probabilities or the strength distributions of heterogeneous 1D systems with continuous local strength distribution and local load sharing have been studied using a simple, exact, recursive method. The fracture behavior depends…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Q. Wu , P. L. Leath

A phase-field approach is proposed for interface failure between two possibly dissimilar materials. The discrete adhesive interface is regularised over a finite width. Due to the use of a regularised crack model for the bulk material, an…

Materials Science · Physics 2019-09-06 Arne Claus Hansen-Dörr , René de Borst , Paul Hennig , Markus Kästner
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