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Related papers: A phase-field model of frictional shear fracture i…

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We study the onset of friction for rough contacting blocks whose interface is coated with a thin lubrication layer. High speed measurements of the real contact area and stress fields near the interface reveal that propagating shear cracks…

Soft Condensed Matter · Physics 2016-05-25 Elsa Bayart , Ilya Svetlizky , Jay Fineberg

We propose a variational phase-field model of fracture capable of accounting for arbitrary closed convex strength domains. Unlike traditional models based on Ambrosio and Tortorelli regularization, the phase-field variable does not affect…

Applied Physics · Physics 2025-07-01 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Camilla Zolesi

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

This work presents the Griffith-type phase-field formation at large deformation in the framework of adaptive edge-based smoothed finite element method (ES-FEM) for the first time. Therein the phase-field modeling of fractures has attracted…

Numerical Analysis · Mathematics 2021-11-09 Fucheng Tian , Xiaoliang Tang , Tingyu Xu , Liangbin Li

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

Iceberg calving accounts for around half of the ice lost annually from Antarctica, but realistic representation of fracture and calving in large-scale ice sheet models remains a major unsolved problem in glaciology. We present a new…

Fluid Dynamics · Physics 2023-06-16 Jakub Stocek , Robert J. Arthern , Oliver J. Marsh

The dynamic energy balance is essential for earthquake studies. The energy balance approach is one of the most famous developments in fracture mechanics. To interpret seismological data, crack models and sliding on a frictional surface…

Geophysics · Physics 2021-01-19 Xin Wang , Juan Liu , Feng Gao , Zhizhen Zhang

A novel phase field material point method is introduced for robust simulation of dynamic fracture in elastic media considering the most general case of anisotropic surface energy. Anisotropy is explicitly introduced through a properly…

Numerical Analysis · Mathematics 2019-09-04 Emmanouil Kakouris , Savvas P. Triantafyllou

Convection-driven cooling in porous media influences thermo-poro-mechanical stresses, thereby causing deformation. These processes are strongly influenced by the presence of fractures, which dominate flow and heat transfer. At the same…

Numerical Analysis · Mathematics 2020-12-14 Ivar Stefansson , Eirik Keilegavlen , Sæunn Halldórsdóttir , Inga Berre

Standard phase-field fracture methods are rooted in brittle fracture theory and therefore do not inherently prescribe a material strength for crack nucleation, while also struggling to capture cohesive fracture behaviour. Recent…

Computational Engineering, Finance, and Science · Computer Science 2026-05-27 Tim Hageman

In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To enhance the accuracy of the spatial discretization, a…

Numerical Analysis · Mathematics 2022-09-21 Seshadri Basava , Katrin Mang , Mirjam Walloth , Thomas Wick , Winnifried Wollner

Thermal fracture is prevalent in many engineering problems and is one of the most devastating defects in metal additive manufacturing. Due to the interactive underlying physics involved, the computational simulation of such a process is…

Materials Science · Physics 2022-12-28 Hui Ruan , Shahed Rezaei , Yangyiwei Yang , Dietmar Gross , Bai-Xiang Xu

The rupture of dry frictional interfaces occurs through the propagation of fronts breaking the contacts at the interface. Recent experiments have shown that the velocities of these rupture fronts range from quasi-static velocities…

We present a phase field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different behavior of cracks (the principle of local symmetry, the…

Other Condensed Matter · Physics 2007-05-23 Herve Henry , Herbert Levine

We investigate a physical characterization of the gradient flow structure of variational fracture models for brittle materials: a Griffith-type fracture model and an irreversible fracture phase field model. We derive the Griffith-type…

Analysis of PDEs · Mathematics 2023-11-03 Masato Kimura , Takeshi Takaishi , Yoshimi Tanaka

Phase-field fracture models are known to overestimate the crack area, a discrepancy that compromises the accuracy of fracture predictions. This issue stems from the diffuse crack representation and numerical artifacts, such as strain…

Materials Science · Physics 2026-05-06 M. Castillón , J. Segurado , I. Romero

Brittle materials subjected to thermal shocks experience strong temperature gradients that in turn give rise to mechanical stresses that can be large enough to induce fracture. This work presents a complete model for phase-field fracture…

Computational Physics · Physics 2026-02-11 Bo Zeng , John E. Dolbow

Phase-field fracture models provide a powerful approach to modeling fracture, potentially enabling the unguided prediction of crack growth in complex patterns. To ensure that only tensile stresses and not compressive stresses drive crack…

Materials Science · Physics 2025-04-24 Maryam Hakimzadeh , Noel Walkington , Carlos Mora-Corral , George Gazonas , Kaushik Dayal

Modeling crack initiation and propagation in brittle materials is of great importance to be able to predict sudden loss of load-carrying capacity and prevent catastrophic failure under severe dynamic loading conditions. Second-order…

Numerical Analysis · Mathematics 2022-05-17 Lampros Svolos , Hashem M. Mourad , Gianmarco Manzini , Krishna Garikipati

The traction evolution is a fundamental ingredient to model the dynamics of an earthquake rupture which ultimately controls, during the coseismic phase, the energy release, the stress redistribution and the consequent excitation of seismic…

Geophysics · Physics 2024-01-22 Andrea Bizzarri , Alberto Petri , Andrea Baldassarri
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