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相关论文: An assessment of phase field fracture: crack initi…

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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

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

We present a new theoretical and computational framework for modelling electro-chemo-mechanical fracture. The model combines a phase field description of fracture with a fully coupled characterisation of electrolyte behaviour, surface…

计算工程、金融与科学 · 计算机科学 2023-08-02 T. Hageman , E. Martínez-Pañeda

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

Despite its critical role in the study of earthquake processes, numerical simulation of the entire stages of fault rupture remains a formidable task. The main challenges in simulating a fault rupture process include complex evolution of…

地球物理 · 物理学 2023-08-22 Fan Fei , Md Shumon Mia , Ahmed E. Elbanna , Jinhyun Choo

The modeling of cracks is an important topic - both in engineering as well as in mathematics. Since crack propagation is characterized by a free boundary value problem (the geometry of the crack is not known beforehand, but part of the…

计算工程、金融与科学 · 计算机科学 2024-03-13 Felix Rörentrop , Samira Boddin , Dorothee Knees , Jörn Mosler

The phase-field model for fracture, despite its popularity and ease of implementation comes with its set of computational challenges. They are the non-convex energy functional, variational inequality due to fracture irreversibility, the…

数值分析 · 数学 2022-06-24 Ritukesh Bharali , Fredrik Larsson , Ralf Jänicke

Data driven approaches have the potential to make modeling complex, nonlinear physical phenomena significantly more computationally tractable. For example, computational modeling of fracture is a core challenge where machine learning…

机器学习 · 计算机科学 2025-10-01 Erfan Hamdi , Emma Lejeune

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

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…

应用物理 · 物理学 2025-07-01 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Camilla Zolesi

We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions.…

应用物理 · 物理学 2019-03-27 Rudy J. M. Geelen , Yingjie Liu , Tianchen Hu , Michael R. Tupek , John E. Dolbow

In this work, we describe our contribution to the Purdue-SANDIA-LLNL \emph{Damage Mechanics Challenge}. The phase field fracture model is adopted to blindly estimate the failure characteristics of the challenge test, an unconventional…

计算工程、金融与科学 · 计算机科学 2024-03-28 Y. Navidtehrani , R. Duddu , E. Martínez-Pañeda

Notwithstanding the evidence against them, classical variational phase-field models continue to be used and pursued in an attempt to describe fracture nucleation in elastic brittle materials. In this context, the main objective of this…

材料科学 · 物理学 2024-09-04 Oscar Lopez-Pamies , John E. Dolbow , Gilles A. Francfort , Christopher J. Larsen

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

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

数值分析 · 数学 2019-05-22 Nima Noii , Thomas Wick

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…

数值分析 · 数学 2019-09-04 Emmanouil Kakouris , Savvas P. Triantafyllou

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…

数值分析 · 数学 2021-11-09 Fucheng Tian , Xiaoliang Tang , Tingyu Xu , Liangbin Li

A field theory is presented for predicting damage and fracture in quasi-brittle materials. The approach taken here is new and blends a non-local constitutive law with a two-point phase field. In this formulation, the material displacement…

材料科学 · 物理学 2025-10-07 Semsi Coskun , Davood Damircheli , Robert Lipton

This article presents a novel, robust and efficient framework for fatigue crack-propagation that combines the principles of Linear Elastic Fracture Mechanics (LEFM) with phase-field fracture (PFF). Contrary to cycle-by-cycle PFF approaches,…

材料科学 · 物理学 2025-09-12 M. Castillón , I. Romero , J. Segurado

The seminal paper of Francfort and Marigo [FM] introduced a variational formulation for Griffith fracture that has resulted in substantial theoretical and practical progress in modeling and simulating fracture. In particular, it led to the…

偏微分方程分析 · 数学 2024-02-14 Christopher J. Larsen