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The modeling of crack propagation in a heterogeneous material using a phase field model is studied numerically in a simple test case: the crack meets a wedge of higher fracture energy. It is shown that when the crack cannot enter the wedge,…

材料科学 · 物理学 2021-08-24 Hervé Henry

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

材料科学 · 物理学 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

The propagation of a 3D crack in an heterogeneous material is studied using a phase field model. It is shown that in the case of randomly distributed inclusions of soft material in a matrix, the nature of the distribution has little effect…

材料科学 · 物理学 2025-03-11 Hervé Henry

A phase field model of a crack front propagating in a three dimensional brittle material is used to study the fractographic patterns induced by the branching instability. The numerical results of this model give rise to crack surfaces that…

软凝聚态物质 · 物理学 2014-01-09 H. Henry , M. Adda-Bedia

Modeling the propagation of cracks at the microscopic level is fundamental to understand the effect of the microstructure on the fracture process. Nevertheless, microscopic propagation is often unstable and when using phase field fracture…

材料科学 · 物理学 2024-12-24 Pedro Aranda , Javier Segurado

A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are…

材料科学 · 物理学 2020-02-26 M. Fleck , D. Pilipenko , R. Spatschek , E. A. Brener

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

材料科学 · 物理学 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner

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…

其他凝聚态物理 · 物理学 2007-05-23 Herve Henry , Herbert Levine

The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We…

材料科学 · 物理学 2015-05-18 R. Spatschek , E. Brener , A. Karma

We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case…

The developed computational approach is capable of initiating and propagating cracks inside materials and along material interfaces of general multi-domain structures under quasi-static conditions. Special attention is paid to particular…

计算工程、金融与科学 · 计算机科学 2023-08-23 Roman Vodička

In this study, the phase field model of crack propagation is used to study the dynamic branching instability in the case of inplane loading in two dimensions. Simulation results are in good agreement with theoretical predictions and…

材料科学 · 物理学 2008-06-18 H. Henry

Crack propagation is studied numerically using a continuum phase-field approach to mode III brittle fracture. The results shed light on the physics that controls the speed of accelerating cracks and the characteristic branching instability…

材料科学 · 物理学 2009-11-10 Alain Karma , Alexander E. Lobkovsky

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

数学物理 · 物理学 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

材料科学 · 物理学 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

In this work, we present crack propagation experiments evaluated by digital image correlation (DIC) for a carbon black filled ethylene propylene diene monomer rubber (EPDM) and numerical modeling with the help of variational phase-field…

数值分析 · 数学 2021-05-03 Katrin Mang , Andreas Fehse , Nils Hendrik Kröger , Thomas Wick

We present a continuum phase-field model of crack propagation. It includes a phase-field that is proportional to the mass density and a displacement field that is governed by linear elastic theory. Generic macroscopic crack growth laws…

材料科学 · 物理学 2009-11-07 L. O. Eastgate , J. P. Sethna , M. Rauscher , T. Cretegny , C. -S. Chen , C. R. Myers

The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of…

应用物理 · 物理学 2020-11-17 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient extended hardening, phase-field modeling for fracture, and crystal…

数值分析 · 数学 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh
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