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We introduce a continuous damage fiber bundle model that gives rise to macroscopic plasticity and compare its behavior with that of dry fiber bundles. Several interesting constitutive behaviors are found in this model depending on the value…

统计力学 · 物理学 2009-10-31 Ferenc Kun , Stefano Zapperi , Hans J. Herrmann

A new family of tree models is proposed, which we call "differential trees." A differential tree model is constructed from multiple data sets and aims to detect distributional differences between them. The new methodology differs from the…

统计方法学 · 统计学 2012-10-01 Yong Wang , Ilze Ziedins , Mark Holmes , Neil Challands

To explore the mechanistic relationships between ageing, frailty and mortality, we developed a computational model in which possible health attributes are represented by the nodes of a complex network. Each node can be either damaged (i.e.…

种群与进化 · 定量生物学 2017-06-30 Andrew D. Rutenberg , Arnold B. Mitnitski , Spencer Farrell , Kenneth Rockwood

Percolation theory characterizing the robustness of a network has applications ranging from biology, to epidemic spreading, and complex infrastructures. Percolation theory, however, only concern the typical response of a infinite network to…

无序系统与神经网络 · 物理学 2018-02-28 Ginestra Bianconi

How networks endure damage is a central issue in neural network research. This includes temporal as well as spatial pattern of damage. Here, based on some very simple models we study the difference between a slow-growing and acute damage…

神经元与认知 · 定量生物学 2016-12-12 Mohammadkarim Saeedghalati , Abdolhossein Abbassian

This work applies concepts of artificial neural networks to identify the parameters of a mathematical model based on phase fields for damage and fracture. Damage mechanics is the part of the continuum mechanics that models the effects of…

材料科学 · 物理学 2021-07-21 Carlos J. G. Rojas , Marco L. Bitterncourt , José L. Boldrini

This study investigates the use of fractional order differential models to simulate the dynamic response of non-homogeneous discrete systems and to achieve efficient and accurate model order reduction. The traditional integer order approach…

数值分析 · 数学 2016-12-22 John P. Hollkamp , Mihir Sen , Fabio Semperlotti

We propose a mapping from fracture systems consisting of intersecting fracture sheets in three dimensions to an abstract network consisting of nodes and links. This makes it possible to analyze fracture systems with the methods developed…

数据分析、统计与概率 · 物理学 2013-11-05 Christian André Andresen , Alex Hansen , Romain Le Goc , Philippe Davy , Sigmund Mongstad Hope

Tree-based protocols are ubiquitous in distributed systems. They are flexible, they perform generally well, and, in static conditions, their analysis is mostly simple. Under churn, however, node joins and failures can have complex global…

分布式、并行与集群计算 · 计算机科学 2010-04-27 Supriya Krishnamurthy , John Ardelius , Erik Aurell , Mads Dam , Rolf Stadler , Fetahi Wuhib

This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

材料科学 · 物理学 2020-08-26 Sansit Patnaik , Fabio Semperlotti

Traditionally power distribution networks are either not observable or only partially observable. This complicates development and implementation of new smart grid technologies, such as those related to demand response, outage detection and…

最优化与控制 · 数学 2015-03-02 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

In this paper, we consider the problem of distributed inference in tree based networks. In the framework considered in this paper, distributed nodes make a 1-bit local decision regarding a phenomenon before sending it to the fusion center…

信息论 · 计算机科学 2016-11-17 Bhavya Kailkhura , Aditya Vempaty , Pramod K. Varshney

A regularized damage model is considered named "Graded damage" in which the gradient enhancement has the form of an explicit bound for the spatial gradient of damage. The key features of the proposed approach are demonstrated by computing…

数学物理 · 物理学 2023-05-18 Nunziante Valoroso

Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acyclic networks (i.e., trees) are optimal structures when…

适应与自组织系统 · 物理学 2019-12-05 Erik Andreas Martens , Konstantin Klemm

The varying-coefficient model is a strong tool for the modelling of interactions in generalized regression. It is easy to apply if both the variables that are modified as well as the effect modifiers are known. However, in general one has a…

统计方法学 · 统计学 2017-05-25 Moritz Berger , Gerhard Tutz , Matthias Schmid

Attack trees (ATs) are a widely deployed modelling technique to categorize potential attacks on a system. An attacker of such a system aims at doing as much damage as possible, but might be limited by a cost budget. The maximum possible…

密码学与安全 · 计算机科学 2023-04-13 Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

In this paper a composite model for earthquake rupture initiation and propagation is proposed. The model includes aspects of damage mechanics, fiber-bundle models, and slider-block models. An array of elements is introduced in analogy to…

地球物理 · 物理学 2010-07-14 G. Yakovlev , J. D. Gran , D. L. Turcotte , J. B. Rundle , W. Klein

As a generalization of integer-order calculus, fractional calculus has seen tremendous applications in the past few years especially in the description of anomalous viscoelastic properties, transport processes in complex media as well as in…

应用物理 · 物理学 2025-02-06 Anis Allagui , Ahmed S. Elwakil

Based on solid theoretical foundations, we present strong evidences that a number of real-life networks, taken from different domains like Internet measurements, biological data, web graphs, social and collaboration networks, exhibit…

社会与信息网络 · 计算机科学 2014-02-24 Muad Abu-Ata , Feodor F. Dragan

While purely data-driven assessment is feasible for the first levels of the Structural Health Monitoring (SHM) process, namely damage detection and arguably damage localization, this does not hold true for more advanced processes. The tasks…

计算工程、金融与科学 · 计算机科学 2021-05-03 Thomas Simpson , Vasilis Dertimanis , Costas Papadimitriou , Eleni Chatzi