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This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack…

This paper concerns the analysis and implementation of a novel iterative staggered scheme for quasi-static brittle fracture propagation models, where the fracture evolution is tracked by a phase field variable. The model we consider is a…

Data-driven modeling in mechanics is evolving rapidly based on recent machine learning advances, especially on artificial neural networks. As the field matures, new data and models created by different groups become available, opening…

数值分析 · 数学 2024-03-11 Aleksandr Dekhovich , O. Taylan Turan , Jiaxiang Yi , Miguel A. Bessa

A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum variant of Newton's second law, uses integral rather than…

偏微分方程分析 · 数学 2016-02-02 Robert Lipton , Stewart Silling , Richard Lehoucq

Dynamic stall on airfoils negatively impacts their aerodynamic performance and can lead to structural damage. Accurate prediction and modelling of the dynamic stall loads are crucial for a more robust design of wings and blades that operate…

流体动力学 · 物理学 2022-05-24 Fatma Ayancik , Karen Mulleners

A reasonable segment of reliability theory is perpetrated to the study of failure rates, their properties, connections and applications. The present study focused on failure rate distributions and their shape properties. Failure rates of…

统计理论 · 数学 2021-07-22 Anakha K K , V M Chacko

This is the second paper of a three-part work the main aim of which is to provide a unified consistent framework for the phase-field modelling of cohesive fracture. Building on the theoretical foundations of the first paper, where…

偏微分方程分析 · 数学 2025-07-17 Roberto Alessi , Francesco Colasanto , Matteo Focardi

A time-dependent global fiber-bundle model of fracture with continuous damage is formulated in terms of a set of coupled non-linear differential equations. A first integral of this set is analytically obtained. The time evolution of the…

统计力学 · 物理学 2009-11-07 L. Moral , Y. Moreno , J. B. Gomez , A. F. Pacheco

This paper is focused on survival analysis of electrical components. The main goal of this paper is to develop a method for on-line estimation of the Mean Time To Failure (MTTF) of electrical components under dynamic stress levels. The…

系统与控制 · 计算机科学 2015-07-23 Pourya Shamsi

We present creep experiments on fiber composite materials with controlled heterogeneity. Recorded strain rates and acoustic emission rates exhibit a power law relaxation in the primary creep regime (Andrade law) followed by a power law…

材料科学 · 物理学 2009-11-10 H. Nechad , A. Helmstetter , R. El Guerjouma , D. Sornette

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…

统计力学 · 物理学 2009-11-10 Srutarshi Pradhan , Bikas K. Chakrabarti

Existing variance reduction techniques used in stochastic simulations for rare event analysis still require a substantial number of model evaluations to estimate small failure probabilities. In the context of complex, nonlinear finite…

机器学习 · 计算机科学 2025-08-04 Liuyun Xu , Seymour M. J. Spence

To understand the general properties of creep failure with healing effects, we study a mean-field fiber bundle model with probabilistic rupture and rejoining processes. The dynamics of the model are determined by two factors: bond breaking…

统计力学 · 物理学 2022-03-01 Subhadeep Roy , Takahiro Hatano

By informing the onset of the degradation process, health status evaluation serves as a significant preliminary step for reliable remaining useful life (RUL) estimation of complex equipment. This paper proposes a novel temporal dynamics…

机器学习 · 计算机科学 2024-01-10 Anushiya Arunan , Yan Qin , Xiaoli Li , Chau Yuen

We present an energy-preserving mechanic formulation for dynamic quasi-brittle fracture in an Eulerian-Lagrangian formulation, where a second-order phase-field equation controls the damage evolution. The numerical formulation adapts in…

数学物理 · 物理学 2022-02-23 Nicolas A. Labanda , Luis Espath , Victor Manuel Calo

We analyze damage nucleation and localization in the random fuse model with strong disorder using numerical simulations. In the initial stages of the fracture process, damage evolves in an uncorrelated manner, resembling percolation.…

统计力学 · 物理学 2009-11-10 Phani Kumar V. V. Nukala , Srdan Simunovic , Stefano Zapperi

Reinforcement Learning (RL) agents deployed in real-world environments face degradation from sensor faults, actuator wear, and environmental shifts, yet lack intrinsic mechanisms to detect and diagnose these failures. We present an…

人工智能 · 计算机科学 2025-09-15 Cameron Reid , Wael Hafez , Amirhossein Nazeri

This technical note studies the distributed average tracking problem for multiple time-varying signals with general linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In distributed fashion, a…

系统与控制 · 计算机科学 2013-12-31 Yu Zhao , Zhisheng Duan , Zhongkui Li

Recently, the phase field method has been increasingly used for brittle fractures in soft materials like polymers, elastomers, and biological tissues. When considering finite deformations to account for the highly deformable nature of soft…

材料科学 · 物理学 2024-08-22 S. Mohammad Mousavi , Ida Ang , Jason Mulderrig , Nikolaos Bouklas

One of the most important scaling laws of time dependent fracture is Basquin's law of fatigue, namely, that the lifetime of the system increases as a power law with decreasing external load amplitude, $t_f\sim \sigma_0^{-\alpha}$, where the…

材料科学 · 物理学 2011-03-28 F. Kun , H. A. Carmona , J. S. Andrade , H. J. Herrmann