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We present an extension of the continuous damage fiber bundle model to describe the gradual degradation of highly heterogeneous materials under an increasing external load. Breaking of a fiber in the model is preceded by a sequence of…

Materials Science · Physics 2009-11-13 F. Raischel , F. Kun , H. J. Herrmann

We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function which can interpolate between the two limiting cases of load redistribution, the global and the local load sharing…

Statistical Mechanics · Physics 2009-11-07 Raul Cruz Hidalgo , Yamir Moreno , Ferenc Kun , Hans J. Herrmann

Motivated by recent experiments studying the creep and breakup of a protein gel under stress, we introduce a simple mesoscopic model for the irreversible failure of gels and fibrous materials, and demonstrate it to capture much of the…

Soft Condensed Matter · Physics 2024-02-16 Henry A. Lockwood , Molly H. Agar , Suzanne M. Fielding

We study the constitutive behaviour, the damage process, and the properties of bursts in the continuous damage fiber bundle model introduced recently. Depending on its two parameters, the model provides various types of constitutive…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

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

A fiber bundle model in $(1+1)$-dimensions for the breaking of fibrous composite matrix is introduced. The model consists of $N$ parallel fibers fixed in two plates. When one of the plates is pulled in the direction parallel to the fibers,…

Condensed Matter · Physics 2009-10-22 A. T. Bernardes , J. G. Moreira

Creep failure of hierarchical materials is investigated by simulation of beam network models. Such models are idealizations of hierarchical fibrous materials where bundles of load-carrying fibers are held together by multi-level…

Materials Science · Physics 2023-12-20 Mahshid Pournajar , Paolo Moretti , Seyyed Ahmad Hosseini , Michael Zaiser

The deformation of brittle material is primarily accompanied by micro-cracking and faulting. However, it has often been found that continuum fluid models, usually based on a non-Newtonian viscosity, are applicable. To explain this rheology,…

Materials Science · Physics 2016-12-28 K. Z. Nanjo

As a model of composite materials, we choose a bundle of fibers with stochastically distributed breaking thresholds for the individual fibers. the fibers are assumed to share the load equally and to obey Hookean elasticity right up to the…

Materials Science · Physics 2015-05-13 Srutarshi Pradhan , Per C. Hemmer

We study the spatial fluctuations of transient creep deformation of materials as a function of time, both by Digital Image Correlation (DIC) measurements of paper samples and by numerical simulations of a crystal plasticity or discrete…

Materials Science · Physics 2015-05-28 Lasse Laurson , Jari Rosti , Juha Koivisto , Amandine Miksic , Mikko J. Alava

We investigate the temporal and spacial evolution of single bursts and their statistics emerging in heterogeneous materials under a constant external load. Based on a fiber bundle model we demonstrate that when the load redistribution is…

Disordered Systems and Neural Networks · Physics 2013-10-08 Zsuzsa Danku , Ferenc Kun

Strengthening of materials and preventing abrupt fracture are really challenging jobs in the field of engineering and material science. Such problems can be resolved by using composite materials. In this work, we have studied the fracture…

Materials Science · Physics 2016-02-15 Subhadeep Roy , Sanchari Goswami

The spatial fluctuations of deformation are studied in creep in the Andrade's power-law and the logarithmic phases, using paper samples. Measurements by the Digital Image Correlation technique show that the relative strength of the strain…

Statistical Mechanics · Physics 2010-08-31 Jari Rosti , Juha Koivisto , Lasse Laurson , Mikko J. Alava

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

We study experimentally the slow growth of a single crack in a fibrous material and observe stepwise growth dynamics. We model the material as a lattice where the crack is pinned by elastic traps and grows due to thermally activated stress…

Statistical Mechanics · Physics 2009-11-10 Stephane Santucci , Loic Vanel , Sergio Ciliberto

Creep is defined as time-dependent deformation and rupture processes taking place within a material subjected to a constant applied stress smaller than its athermal, time-independent strength. This time-dependence is classically attributed…

Soft Condensed Matter · Physics 2023-02-24 Jerome Weiss , David Amitrano

Flow in soft materials encompasses a wide range of viscous, plastic and elastic phenomena which provide challenges to modelling at the microscopic level. To create a controlled flow, we perform falling ball viscometry tests on packings of…

Soft Condensed Matter · Physics 2024-10-08 Joshua A. Dijksman , Tom Mullin

Quasi-brittle materials endowed with (statistically) self-similar hierarcical microstructures show distinct failure patterns that deviate from the standard scenario of damage accumulation followed by crack nucleation-and-growth. Here we…

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

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