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We propose a novel variational phase-field model for fracture in anisotropic materials. The model is specifically designed to allow a more flexible calibration of crack nucleation than existing anisotropic fracture formulations, while…

Fault zones exhibit geometrical complexity and are often surrounded by multiscale fracture networks within their damage zones, influencing rupture dynamics and near-field ground motions. We investigate the ground-motion characteristics of…

Fracture mechanics is crucial for many fields of engineering, as precisely predicting failure of structures and parts is required for efficient designs. The simulation of failure processes is, from a mechanical and a numerical point of…

Materials Science · Physics 2022-06-15 Sebastian Pech , Markus Lukacevic , Josef Füssl

The morphology of fracture surfaces encodes the various complex damage and fracture processes occurring at the microstructure scale that have lead to the failure of a given heterogeneous material. Understanding how to decipher this…

Statistical Mechanics · Physics 2009-11-11 Laurent Ponson , Daniel Bonamy , Elisabeth Bouchaud

The geometry and connectivity of fractures exert a strong influence on the flow and transport properties of fracture networks. We present a novel approach to stochastically generate three-dimensional discrete networks of connected fractures…

Geophysics · Physics 2017-01-10 C. Dorn , N. Linde , T. Le Borgne , O. Bour , J. -R. de Dreuzy

Bone adapts in response to its mechanical environment. This evolution of bone density is one of the most important mechanisms for developing fracture resistance. A finite element framework for simulating bone adaptation, commonly called…

Computational Engineering, Finance, and Science · Computer Science 2020-01-06 Karol Lewandowski , Łukasz Kaczmarczyk , Ignatios Athanasiadis , John F. Marshall , Chris J. Pearce

Fractures are widely developed in hydrocarbon reservoirs and constitute the accumulation spaces and transport channels of oil and gas. Fracture detection is a fundamental task for reservoir characterization. From prestack seismic gathers,…

Geophysics · Physics 2021-07-06 Zhenyu Yuan , Yuxin Jiang , Jingjing Li , Handong Huang

The objective of the current study is to utilize an innovative method called 'change probabilities' for describing fracture roughness. In order to detect and visualize anisotropy of rock joint surfaces, the roughness of one-dimensional…

Statistics Theory · Mathematics 2021-12-23 Tim Gutjahr , Sina Hale , Karsten Keller , Philipp Blum , Steffen Winter

Strongly anisotropic geomaterials undergo fracture under compressive loading. This paper applies a phase-field fracture model to study this fracture process. While phase-field fracture models have several advantages, they provide unphysical…

In fracture mechanics, polyacrylamide hydrogels have been widely used as a model material for experiments, benefited from its optical transparency, fracture brittleness, and low Rayleigh wave velocity. To describe the brittle fracture in…

Soft Condensed Matter · Physics 2024-05-06 Chenzhuo Li , Danila Zubko , Damien Delespaul , John M. Kolinski

We present a new method to invert variable stress changes of fractures from InSAR ground displacements. Fractures can be either faults or magma intrusions, embeded in a 3D heterogeneous crust with prominent topographies. The method is based…

Geophysics · Physics 2022-12-07 Farshid Dabaghi , Oliver Bodart , Valérie Cayol

This article presents a multiscale, non-linear and directional statistical characterization of images based on the estimation of the skewness, flatness, entropy and distance from Gaussianity of the spatial increments. These increments are…

Fluid Dynamics · Physics 2023-10-11 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas B. Garnier

We present a novel approach for resolving modes of rupture directivity in large populations of earthquakes. A seismic spectral decomposition technique is used to first produce relative measurements of radiated energy for earthquakes in a…

We present a multi-resolution approach for constructing model-based simulations of hydraulic fracturing, wherein flow through porous media is coupled with fluid-driven fracture. The approach consists of a hybrid scheme that couples a…

Computational Engineering, Finance, and Science · Computer Science 2022-07-05 Andre Costa , Matteo Cusini , Tao Jin , Randolph Settgast , John Dolbow

We develop a powerful yet simple method that generates multifractal fields with fully controlled scaling properties. Adopting the Multifractal Random Walk (MRW) model of Bacry et al. (2001), synthetic multifractal fields are obtained from…

Statistical Mechanics · Physics 2026-02-10 Samy Lakhal , Laurent Ponson , Michael Benzaquen , Jean-Philippe Bouchaud

This study examines the feasibility of the full-field ultrasonic characterization of fractures in rock. To this end, a slab-like specimen of granite is subjected to in-plane, O(10$^4$Hz) excitation while monitoring the induced 2D wavefield…

Geophysics · Physics 2017-11-21 Fatemeh Pourahmadian , Bojan B. Guzina

Fractured metal fragments with rough and irregular surfaces are often found at crime scenes. Current forensic practice visually inspects the complex jagged trajectory of fractured surfaces to recognize a ``match'' using comparative…

Reservoir Characterization (RC) can be defined as the act of building a reservoir model that incorporates all the characteristics of the reservoir that are pertinent to its ability to store hydrocarbons and also to produce them.It is a…

Computational Engineering, Finance, and Science · Computer Science 2015-07-23 Soumi Chaki

In variational phase-field modeling of brittle fracture, the functional to be minimized is not convex, so that the necessary stationarity conditions of the functional may admit multiple solutions. The solution obtained in an actual…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Tymofiy Gerasimov , Ulrich Römer , Jaroslav Vondřejc , Hermann G. Matthies , Laura De Lorenzis

This work presents a variational physics-informed deep learning framework for phase-field modelling of brittle crack propagation in anisotropic media. Previous Deep Ritz Method (DRM) approaches have focused on second-order, isotropic…

Computational Physics · Physics 2026-04-15 N. Plungė , P. Brommer , R. S. Edwards , E. G. Kakouris
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