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Understanding and controlling fracture propagation is one of the most challenging engineering problems, especially in the oil and gas sector, groundwater hydrology and geothermal energy applications. Predicting the fracture orientation…

Materials Science · Physics 2023-04-04 Ramesh Kannan Kandasami , Charalampos Konstantinou , Giovanna Biscontin

We study the crackling noise emerging during single crack propagation in a specimen under three-point bending conditions. Computer simulations are carried out in the framework of a discrete element model where the specimen is discretized in…

Disordered Systems and Neural Networks · Physics 2011-04-28 Gabor Timar , Ferenc Kun

Due to its computational robustness and versatility, the phase field fracture model has become the preferred tool for predicting a wide range of cracking phenomena. However, in its conventional form, its intrinsic tension-compression…

Materials Science · Physics 2022-08-23 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda

Swarm robotics has potential for a wide variety of applications, but real-world deployments remain rare due to the difficulty of predicting emergent behaviors arising from simple local interactions. Traditional engineering approaches design…

Robotics · Computer Science 2025-10-28 Ricardo Vega , Connor Mattson , Kevin Zhu , Daniel S. Brown , Cameron Nowzari

Modeling fracture is computationally expensive even in computational simulations of two-dimensional problems. Hence, scaling up the available approaches to be directly applied to large components or systems crucial for real applications…

Computational Engineering, Finance, and Science · Computer Science 2022-07-07 Ayan Chakraborty , Cosmin Anitescu , Somdatta Goswami , Xiaoying Zhuang , Timon Rabczuk

Mixed mode (I+III) loading induces segmented crack front \'echelon structures connected by steps. We study this instability in a highly deformable, strain-hardening material. We find that \'echelons develop beyond a finite, size-independent…

Soft Condensed Matter · Physics 2014-03-05 O. Ronsin , C. Caroli , T. Baumberger

The evolution of a crack front under mixed mode loading (I+III) is studied using a phase field model in 3 dimensions with no stress boundary conditions. As previously observed experimentally in gels, there is a relaxation toward a geometry…

Soft Condensed Matter · Physics 2016-08-24 Hervé Henry

We study propagating mode-I fracture in two dimensional amorphous materials using atomistic simulations. We used the continuous random network (CRN) model of an amorphous material, creating samples using a two dimensional analogue of the…

Materials Science · Physics 2015-05-20 Shay I Heizler , David A. Kessler , Herbert Levine

A novel FFT-based phase-field fracture framework for modelling fatigue crack initiation and propagation at the microscale is presented. A damage driving force is defined based on the stored energy and dislocation density, relating…

Computational Engineering, Finance, and Science · Computer Science 2023-04-04 Sergio Lucarini , Fionn P. E. Dunne , Emilio Martínez-Pañeda

Phase-field modeling -- a continuous approach to discontinuities -- is gaining popularity for simulating rock fractures due to its ability to handle complex, discontinuous geometry without an explicit surface tracking algorithm. None of the…

Geophysics · Physics 2022-11-24 Fan Fei , Jinhyun Choo , Chong Liu , Joshua A. White

The mechanical properties of metal matrix fiber-reinforced composites depend on many aspects of their structure in a complicated way. In this paper, we propose a \emph{minimalistic} approach to study interface debonding, matrix cracking,…

Materials Science · Physics 2021-10-26 Zhaoyang Hu , Xufei Suo , Feng Jiang , Yongxing Shen

Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase-field method has recently enabled…

Geophysics · Physics 2025-03-11 Fan Fei , Md Shumon Mia , Ahmed E. Elbanna , Jinhyun Choo

A spatiotemporal deep learning framework is proposed that is capable of 2D full-field prediction of fracture in concrete mesostructures. This framework not only predicts fractures but also captures the entire history of the fracture…

Computational Engineering, Finance, and Science · Computer Science 2024-07-25 Rasoul Najafi Koopas , Shahed Rezaei , Natalie Rauter , Richard Ostwald , Rolf Lammering

Phase-field models are a leading approach for realistic fracture problems. They treat the crack as a second phase and use gradient terms to smear out the crack faces, enabling the use of standard numerical methods for simulations. This…

Analysis of PDEs · Mathematics 2022-07-01 Maryam Hakimzadeh , Vaibhav Agrawal , Kaushik Dayal , Carlos Mora-Corral

We investigate how the dimensionality of the embedding space affects the microscopic crackling dynamics and the macroscopic response of heterogeneous materials. Using a fiber bundle model with localized load sharing computer simulations are…

Disordered Systems and Neural Networks · Physics 2019-03-01 Zsuzsa Danku , Geza Odor , Ferenc Kun

The frequency of disruptive and newly emerging threats (e.g. man-made attacks--cyber and physical attacks; extreme natural events--hurricanes, earthquakes, and floods) has escalated dramatically in the last decade. Impacts of these events…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Narayan Bhusal , Mukesh Gautam , Michael Abdelmalak , Mohammed Benidris

We develop continuum field model for crack propagation in brittle amorphous solids. The model is represented by equations for elastic displacements combined with the order parameter equation which accounts for the dynamics of defects. This…

Materials Science · Physics 2016-08-31 I. S. Aranson , V. A. Kalatsky , V. M. Vinokur

The failure of materials and interfaces is mediated by cracks, nearly singular dissipative structures that propagate at velocities approaching the speed of sound. Crack initiation and subsequent propagation -- the dynamic process of…

Materials Science · Physics 2015-06-15 Eran Bouchbinder , Tamar Goldman , Jay Fineberg

Characterizing the interaction between water and microscopic defects is one of the long-standing challenges in understanding a broad range of cracking processes. Different physical aspects of microscopic events, driven or influenced by…

Geophysics · Physics 2017-01-12 H. O. Ghaffari , W. A. Griffith , P. M. Benson

The temporal evolution of mechanical energy and spatially-averaged crack speed are both monitored in slowly fracturing artificial rocks. Both signals display an irregular burst-like dynamics, with power-law distributed fluctuations spanning…

Statistical Mechanics · Physics 2016-02-26 Jonathan Barés , Lamine Hattali , Davy Dalmas , Daniel Bonamy