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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…

地球物理 · 物理学 2022-11-24 Fan Fei , Jinhyun Choo , Chong Liu , Joshua A. White

Consider the scattering of a time-harmonic acoustic plane wave by a bounded elastic obstacle which is immersed in a homogeneous acoustic medium. This paper concerns an inverse acoustic-elastic interaction problem, which is to determine the…

数值分析 · 数学 2020-04-22 Heping Dong , Jun Lai , Peijun Li

Accurate numerical simulation of fault and fracture mechanics is critical for the performance and safety assessment of many subsurface systems. The discretized representation of discontinuity surfaces and the robust simulation of their…

数值分析 · 数学 2026-03-20 Daniele Moretto , Andrea Franceschini , Massimiliano Ferronato

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

材料科学 · 物理学 2026-03-17 Hayden Bromley , Robert Lipton

The Lip-field approach is a new way to regularize softening material models. It has already been tested in 1D quasistatic and 2D quasistatic: this paper extends it to 1D dynamics, on the challenging problem of dynamic fragmentation. The…

计算工程、金融与科学 · 计算机科学 2022-03-10 Nicolas Moës , Benoît Lé , Andrew Stershic

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

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

计算工程、金融与科学 · 计算机科学 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

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

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

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

数值分析 · 数学 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

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

Over the past few decades, the phase-field method for fracture has seen widespread appeal due to the many benefits associated with its ability to regularize a sharp crack geometry. Along the way, several different models for including the…

计算工程、金融与科学 · 计算机科学 2023-05-15 Andre Costa , Tianchen Hu , John Dolbow

In this study, we address damage initiation and micro-crack formation in ductile failure of polycrystalline metals. We show how our recently published thermodynamic framework for ductile phase-field fracture of single crystals can be…

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

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…

材料科学 · 物理学 2022-08-23 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda

We consider a phase-field fracture propagation model, which consists of two (nonlinear) coupled partial differential equations. The first equation describes the displacement evolution, and the second is a smoothed indicator variable,…

数值分析 · 数学 2019-12-17 Christian Engwer , Iuliu Sorin Pop , Thomas Wick

For the fatigue life of thin-walled components, not only fatigue crack initiation, but also crack growth is decisive. The phase-field method for fracture is a powerful tool to simulate arbitrary crack phenomena. Recently, it has been…

材料科学 · 物理学 2021-04-07 Martha Seiler , Sören Keller , Nikolai Kashaev , Benjamin Klusemann , Markus Kästner

One of the state-of-the-art strategies for predicting crack propagation, nucleation, and interaction is the phase-field approach. Despite its reliability and robustness, the phase-field approach suffers from burdensome computational cost,…

数值分析 · 数学 2022-11-17 Alena Kopaničáková , Hardik Kothari , Rolf Krause

The aim of the paper is to propose a paradigm shift for the variational approach of brittle fracture. Both dynamics and the limit case of statics are treated in a same framework. By contrast with the usual incremental approach, we use a…

材料科学 · 物理学 2021-12-07 Géry de Saxcé

Fatigue fracture is one of the main causes of failure in structures. However, the simulation of fatigue crack growth is computationally demanding due to the large number of load cycles involved. Metals in the low cycle fatigue range often…

计算物理 · 物理学 2024-11-11 Martha Kalina , Tom Schneider , Haim Waisman , Markus Kästner

The favored phase field method (PFM) has encountered challenges in the finite strain fracture modeling of nearly or truly incompressible hyperelastic materials. We identified that the underlying cause lies in the innate contradiction…

数值分析 · 数学 2022-05-04 Fucheng Tian , Jun Zeng , Mengnan Zhang , Liangbin Li