Extension of fibre bundle models for creep rupture and interface failure

Kun, Ferenc; Hidalgo, R. C.; Raischel, Frank; Herrmann, Hans J.

doi:10.1007/s10704-005-2556-4

Cited by 26 publications

(32 citation statements)

References 24 publications

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“…Certainly, our model represents a strong simplification of reality. Model improvements may include introducing local load-sharing rules (e.g., [2,26]) and using a more complex model for the load rheology instead of the Maxwell model (e.g., power-law creep [13,38]). Moreover, with a model capable of reproducing a more complex three-dimensional geometry (e.g., discrete element model DEM (e.g., [39,40]) the effect of the complex structure of the ice matrix could be studied.…”

Section: Discussionmentioning

confidence: 99%

“…Growth and interaction of the microstructural damage leads to the breakdown of the macroscopic system [1]. Fiber-bundle models (FBM) are widely used to study the failure process of heterogeneous materials [2]. In FBMs a complex behavior of the system arises from the interaction of multiple single elements (fibers) with heterogeneous properties (strength), which obey simple rules (e.g., elastic deformation).…”

Section: Introductionmentioning

confidence: 99%

“…FBMs are often used to study material failure in the context of statistical physics and the analogy to phase transitions and critical phenomena. A variety of modifications of FBMs have been proposed to study the failure of different types of heterogeneous materials (e.g., [2,3]). …”

Section: Introductionmentioning

confidence: 99%

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Fiber-bundle model with time-dependent healing mechanisms to simulate progressive failure of snow

et al. 2018

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Snow is a heterogeneous material with strain-and/or load-rate-dependent strength. In particular, a transition from ductile-to-brittle failure behavior with increasing load rate is observed. The rate-dependent behavior can partly be explained with the existence of a unique healing mechanism in snow that stems from its high homologous temperature (temperature close to melting point). As soon as broken elements in the ice matrix get in contact, they start sintering and the structure may regain strength. Moreover, the ice matrix is subjected to viscous deformation, inducing a relaxation of local load concentrations and, therefore, further counteracting the damage process. Ideal tools for studying the failure process of heterogeneous materials are the fiber-bundle models (FBMs), which allow investigating the effects of basic microstructural characteristics on the general macroscopic failure behavior. We present an FBM with two concurrent time-dependent healing mechanisms: sintering of broken fibers and relaxation of load inhomogeneities. Sintering compensates damage by creating additional intact, load-supporting fibers which lead to an increase of the bundle strength. However, the character of the failure is not changed by sintering alone. With combined sintering and load relaxation, load is distributed from old stronger fibers to new fibers that carry fewer load. So as we additionally incorporated load redistribution to the FBM, the failure occurred suddenly without decrease of the order parameter-describing the amount of damage in the bundle-and without divergence of the fiber failure rate. Moreover, the b value, i.e., the power-law exponent of frequency-magnitude statistics of fibers breaking in load redistribution steps, at failure converged to b ≈ 2, a value higher than that of a classical FBM without healing (b = 3 2 ). These results indicate that healing, as the combined effect of sintering and load relaxation, changes the type of the phase transition at failure. This change of the phase transition is important for quantifying or predicting the failure (e.g., by monitoring acoustic emissions) of snow or other materials for which healing plays an important role.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fiber-bundle model with time-dependent healing mechanisms to simulate progressive failure of snow

et al. 2018

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“…In these models each fibre obeys a time-dependent constitutive law [23]. These models were also extended to interface creep failure [24]. Furthermore experimental results proved that these simple models with a large heterogeneity, based on interaction of representative elements with a simple nonlinear rheology, were sufficient to explain qualitatively and quasi-quantitatively the creep failure of composite materials [25], [26].…”

Section: Introductionmentioning

confidence: 93%

Time-dependent failure criteria for lifetime prediction of polymer matrix composite structures

Guedes

2011

Creep and Fatigue in Polymer Matrix Composites

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The use of fibre -reinforced polymers in civil construction applications originated structures with a high specific stiffness and strength. Although these structures usually present a high mechanical performance, their strength and stiffness may decay significantly over time. This is mainly due to the viscoelastic nature of the matrix, damage accumulation and propagation within the matrix and fibre breaking. One serious consequence, as a result of static fatigue (creep failure), is a premature failure which is usually catastrophic. However in civil engineering applications, the structural components are supposed to remain in service for 50 years or more in safety conditions.One argument used to replace steel by polymer-matrix composites is its superior corrosion resistance. Yet stress corrosion of glass fibre s takes place as soon as moisture reaches the fibre by absorption. This phenomenon accelerates fibre breaking. In most 2 civil engineering applications, glass-fibre reinforced polymers (GRP) are the most common especially because raw material is less expensive.The lack of full understanding of the fundamental parameters controlling long-term materials performance necessarily leads to over-design and, furthermore, inhibits greater utilization. In this context, lifetime prediction of these structures is an important issue to be solved before wider dissemination of civil engineering applications can take place. As an example, standards dealing with certification of GRP pipes require at least 10000 hours of testing for a high number of specimens. Even though these strong requirements may be foreseen as reasonable, concerning the safety of civil engineering applications, they severely restrict the improvement and innovation of new products.The present chapter reviews some theoretical approaches for long-term criteria. Timedependent failure criteria will be presented and developed for practical applications and illustrated with experimental cases.

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“…Earthquakes, which are essentially a fracturing phenomenon, show a flow of energy release events from the micro-to the macroscale. Present-day state of the art is the microscopic simulation of fracture on the molecular scale [22], real-time observation at the nanoscale [66], the stochastic or continuum description at the mesoscale [23,24], and the statistical description of earthquakes on the fault system or global scale [25,26].…”

Section: Big Data For World-wide and Multiscale Problemsmentioning

confidence: 99%

From human mobility to renewable energies

Raischel

Moreira

Lind

2014

Eur. Phys. J. Spec. Top.

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Abstract.We address and discuss recent trends in the analysis of big data sets, with the emphasis on studying multiscale phenomena. Applications of big data analysis in different scientific fields are described and two particular examples of multiscale phenomena are explored in more detail. The first one deals with wind power production at the scale of single wind turbines, the scale of entire wind farms and also at the scale of a whole country. Using open source data we show that the wind power production has an intermittent character at all those three scales, with implications for defining adequate strategies for stable energy production. The second example concerns the dynamics underlying human mobility, which presents different features at different scales.For that end, we analyze 12-month data of the Eduroam database within Portuguese universities, and find that, at the smallest scales, typically within a set of a few adjacent buildings, the characteristic exponents of average displacements are different from the ones found at the scale of one country or one continent. Big data: the emergence of a new paradigmIn some sense, the notion of Information Age is slowly fading from the perception of our society. For decades, national and international research has been creating impressive amounts of data, and often from various unrelated measurement sources [1]. Computational methods have been serving the needs of the scientific community and the need for higher computational power has driven the invention of more efficient computational codes and triggered the development of new hardware. Simultaneously, the internet has been instrumental in fostering international research collaborations and divulging scientific knowledge.Today, obtaining data is no longer a problem. Information is there, available for everyone at any time. Given the computational power of today's computers and clusters, even single research groups can create and store large data volumes. The challenge in today's research is more often what to do with the data we have. How to manage all the information we have in such large data sources? Which phenomena can we now study? The recent technological progress together with the new challenges naturally lead to a new paradigm in computational sciences, which is partially described by the term big data.In this paper we discuss the utility of big data for approaching the empirical study of phenomena up to now unreachable. We discuss the usage of big data in the study of two specific phenomena, that up to now were unreachable, namely wind energy production and human

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Extension of fibre bundle models for creep rupture and interface failure

Cited by 26 publications

References 24 publications

Fiber-bundle model with time-dependent healing mechanisms to simulate progressive failure of snow

Fiber-bundle model with time-dependent healing mechanisms to simulate progressive failure of snow

Time-dependent failure criteria for lifetime prediction of polymer matrix composite structures

From human mobility to renewable energies

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