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A field theory is presented for predicting damage and fracture in quasi-brittle materials. The approach taken here is new and blends a non-local constitutive law with a two-point phase field. In this formulation, the material displacement…

Materials Science · Physics 2025-10-07 Semsi Coskun , Davood Damircheli , Robert Lipton

Heterogeneity in biological molecules, resulting in molecule-to-molecule variations in their dynamics and function, is an emerging theme. To elucidate the consequences of heterogeneous behavior at the single molecule level, we propose an…

Biological Physics · Physics 2017-01-24 Changbong Hyeon , Michael Hinczewski , D. Thirumalai

We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler-Bernoulli beams. A fault inside the structure is assumed…

Applied Physics · Physics 2019-05-15 M. Garau , M. J. Nieves , I. S. Jones

Electric power-systems are one of the most important critical infrastructures. In recent years, they have been exposed to extreme stress due to the increasing demand, the introduction of distributed renewable energy sources, and the…

Physics and Society · Physics 2016-07-13 Antonio Scala , Pier Giorgio De Sanctis Lucentini

A novel variational framework to model the fatigue behavior of brittle materials based on a phase-field approach to fracture is presented. The standard regularized free energy functional is modified introducing a fatigue degradation…

Materials Science · Physics 2020-06-04 P. Carrara , M. Ambati , R. Alessi , L. De Lorenzis

Combining simulations and theory I study the interplay between bundle elastic degrees of freedom and crosslink binding propensity. By slowly driving bundles into a deformed configuration, and depending on the mechanical stiffness of the…

Soft Condensed Matter · Physics 2011-05-20 Claus Heussinger

Highly-deformable materials, from synthetic hydrogels to biological tissues, are becoming increasingly important from both fundamental and practical perspectives. Their mechanical behaviors, in particular the dynamics of crack propagation…

Materials Science · Physics 2015-06-09 Tamar Goldman Boué , Roi Harpaz , Jay Fineberg , Eran Bouchbinder

Brittle materials fail catastrophically. In consequence of their limited flaw-tolerance, failure occurs by localized fracture and is typically a dynamic process. Recently, experiments on epithelial cell monolayers have revealed that this…

Soft Condensed Matter · Physics 2017-02-07 Alessandro Lucantonio , Giovanni Noselli

We study the temporal evolution of avalanches in the fiber bundle model of disordered solids, when the model is gradually driven towards the critical breakdown point. We use two types of loading protocols: (i) the quasi-static loading, and…

Statistical Mechanics · Physics 2023-10-10 Narendra Kumar Bodaballa , Soumyajyoti Biswas , Parongama Sen

We extend the model-free data-driven paradigm for rate-independent fracture mechanics proposed in Carrara et al. (2020), Data-driven Fracture Mechanics, Comp. Meth. App. Mech. Eng., 372 to rate-dependent fracture and sub-critical fatigue.…

Materials Science · Physics 2021-12-16 Pietro Carrara , Michael Ortiz , Laura De Lorenzis

Understanding the microstructural influence on the failure mechanisms in multi-phase materials calls for the identification of the worst-case scenario. This necessitates a statistical approach. By performing simulations directly based on…

Materials Science · Physics 2016-12-06 T. W. J. de Geus , J. E. P. van Duuren , R. H. J. Peerlings , M. G. D. Geers

Progressive damage, which eventually leads to failure, is ubiquitous in biological and synthetic polymers. The simplest case to consider is that of elastomeric materials, which can undergo large reversible deformations with negligible rate…

Soft Condensed Matter · Physics 2018-02-14 Brandon Talamini , Yunwei Mao , Lallit Anand

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

Crack nucleation is a ubiquitous phenomena during materials failure, because stress focuses on crack tips. It is known that exceptions to this general rule arise in the limit of strong disorder or vanishing mechanical stability, where…

Soft Condensed Matter · Physics 2017-10-25 Leyou Zhang , D. Zeb Rocklin , Leonard M. Sander , Xiaoming Mao

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

The dynamics of a crack propagating in an elastic inhomogeneous material is investigated. The variations of the average crack velocity with the external loading are measured for a brittle rock and are shown to display two distinct regimes:…

Statistical Mechanics · Physics 2008-12-18 Laurent Ponson

Brain tissue is a heterogeneous material, constituted by a soft matrix filled with cerebrospinal fluid. The interactions between, and the complexity of each of these components are responsible for the non-linear rate-dependent behaviour…

Quantitative Methods · Quantitative Biology 2021-02-23 Michele Terzano , Andrea Spagnoli , Daniele Dini , Antonio Elia Forte

The reliability of processes with moving elastic and isotropic material containing initial cracks is considered in terms of fracture. The material is modelled as a moving plate which is simply supported from two of its sides and subjected…

Computational Engineering, Finance, and Science · Computer Science 2016-04-25 Maria Tirronen

Network infrastructures are essential for the distribution of resources such as electricity and water. Typical strategies to assess their resilience focus on the impact of a sequence of random or targeted failures of network nodes or links.…

Physics and Society · Physics 2014-11-04 D. V. Stäger , N. A. M. Araújo , H. J. Herrmann

A random fuse network, or equivalently a two-dimensional spring network with quenched disorder, is subjected to a constant load and thermal noise, and studied by means of numerical simulations. Rupture is thermally activated and the…

Statistical Mechanics · Physics 2016-08-16 Alessio Guarino , Loïc Vanel , Riccardo Scorretti , Sergio Ciliberto
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