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This paper identifies two ways to extract the energy (or power) flowing into a crack tip during propagation based on the power balance of areas enclosed by a stationary contour and a comoving contour. It is very interesting to find a…

其他凝聚态物理 · 物理学 2016-07-13 Si Xiao , He-ling Wang , Chad M Landis , Keh-Chih Hwang , Bin Liu

The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is…

材料科学 · 物理学 2013-09-11 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

One of the assumptions of Linear Elastic Fracture Mechanics is that the crack faces are traction-free or, at most, loaded by bounded tractions. The standard Irwin's crack closure integral, widely used for the computation of the Energy…

地球物理 · 物理学 2023-03-08 Andrea Piccolroaz , Daniel Peck , Michal Wrobel , Gennady Mishuris

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

This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density $1/2$ at the tip. First, the blow-up limit of the displacement is analyzed, and the convergence to the…

偏微分方程分析 · 数学 2014-06-27 Jean-François Babadjian , Antonin Chambolle , Antoine Lemenant

Rock formations are very often characterized by the presence of fractures that have grown subcritically over geological time scales and under evolving stress fields. In mechanically layered systems, such fractures can either become…

地球物理 · 物理学 2026-01-01 Juan Michael Sargado , Michael Welch , Michael Lüthje

Understanding the local fracture resistance of microstructural features. such as brittle inclusions, coatings, and interfaces at the microscale under complex loading conditions is critical for microstructure-informed design of materials. In…

In a recent very interesting and illuminating proposal, Yao et al. (2014) have discussed the use of the strain energy release rate (SERR) as a parameter to characterize fatigue delamination growth in composite materials. They consider…

材料科学 · 物理学 2020-12-08 M. Ciavarella , A. Papangelo , G. Cricri

We investigate dynamic crack propagation and fragmentation with the phase-field fracture approach. The method was chosen for its ability to yield crack paths that are independent of the underlying mesh, thanks to the damage regularization…

计算物理 · 物理学 2025-12-23 Shad Durussel , Gergely Molnár , Jean-François Molinari

The phase-field approach to fracture has been proven to be a mathematically sound and easy to implement method for computing crack propagation with arbitrary crack paths. Hereby crack growth is driven by energy minimization resulting in a…

数值分析 · 数学 2019-06-26 Carola Bilgen , Kerstin Weinberg

A novel hydraulic fracture (HF) formulation is introduced which accounts for the hydraulically induced shear stress at the crack faces. It utilizes a general form of the elasticity operator alongside a revised fracture propagation condition…

地球物理 · 物理学 2016-12-13 Michal Wrobel , Gennady Mishuris , Andrea Piccolroaz

Despite extensive theoretical treatment of short- to long-crack transitions, direct experimental quantification of how elastic and plastic energy contributions evolve at the crack tip during arrest has remained absent. In this study, we…

材料科学 · 物理学 2026-04-29 Abdalrhaman Koko , Bemin Sheen , Caitlin Green , Fionn Dunne

This paper presents a formulation for brittle fracture in 3D elastic solids within the context of configurational mechanics. The local form of the first law of thermodynamics provides a condition for equilibrium of the crack front. The…

计算工程、金融与科学 · 计算机科学 2017-08-02 Lukasz Kaczmarczyk , Zahur Ullah , Chris J. Pearce

Dissipated energy, representing a monotonically increasing state variable in nonlinear fracture mechanics, can be used as a restraint for tracing the dissipation instead of the elastic unloading path of the structure response. In this work,…

计算工程、金融与科学 · 计算机科学 2020-07-27 Yiming Zhang , Junguang Huang , Yong Yuan , Herbert Mang

A liquid droplet resting on a soft gel substrate can deform that substrate to the point of material failure, whereby fractures develop on the gel surface that propagate outwards from the contact-line in a starburst pattern. In this paper,…

软凝聚态物质 · 物理学 2015-06-17 Joshua B. Bostwick , Karen E. Daniels

This paper is concerned with the steady-state propagation of an antiplane semi-infinite crack in couple stress elastic materials. A distributed loading applied at the crack faces and moving with the same velocity of the crack tip is…

数学物理 · 物理学 2014-04-11 L. Morini , A. Piccolroaz , G. Mishuris

Griffith's energetic criterion, or `energy balance', has for a century formed the basis for fracture mechanics; the energy flowing into a crack front is precisely balanced by the dissipation (fracture energy) at the front. If the crack…

软凝聚态物质 · 物理学 2022-02-09 Meng Wang , Mokhtar Adda-Bedia , John M. Kolinski , Jay Fineberg

It has been shown that temperature cycles on airless bodies of our Solar System can cause damaging of surface materials. Nevertheless, propagation mechanisms in the case of space objects are still poorly understood. Present work combines a…

地球与行星天体物理 · 物理学 2021-02-04 D. Uribe , M. Delbo , P. -O. Bouchard , D. Pino Muñoz

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…

计算工程、金融与科学 · 计算机科学 2023-04-04 Sergio Lucarini , Fionn P. E. Dunne , Emilio Martínez-Pañeda

We study a class of models for brittle fracture: elastic theory models which allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to…

材料科学 · 物理学 2009-10-28 Alex Buchel , James P. Sethna
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