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We address in this review unified analysis of phase-field models for cohesive fracture. Aiming to regularize the Barenblatt (1959) cohesive zone model, all the discussed models are distinguished by three characteristic functions, i.e., the…

材料科学 · 物理学 2024-12-06 Jian-Ying Wu

Ultimately, brittle fracture involves breaking atomic bonds. However, we still lack a clear picture of what happens in the highly deformed region around a moving crack tip. Consequently, we still cannot link nano to atomic-scale phenomena…

材料科学 · 物理学 2024-07-22 Oriol Gavalda-Diaz , Max Emmanuel , Katharina Marquardt , Eduardo Saiz , Finn Giuliani

The accurate and efficient prediction of crack propagation in dielectric materials is a critical challenge in structural health monitoring and the design of smart systems. This work presents a hybrid modeling framework that combines an…

计算物理 · 物理学 2026-02-03 Aamir Dean , Jaykumar Mavani , Betim Bahtiri , Behrouz Arash , Raimund Rolfes

A series of recent papers have modified the classical variational phase-field fracture models to successfully predict both the nucleation and propagation of cracks in brittle fracture under general loading conditions. This is done through…

材料科学 · 物理学 2025-01-03 Chockalingam Senthilnathan

Phase field models have emerged as a powerful and flexible framework for simulating complex interface-driven phenomena across a wide range of scientific and engineering applications. In fracture mechanics, the phase field…

数值分析 · 数学 2025-06-23 Md Mamun Miah , Ryuhei Wakida , Masato Kimura

The present endeavor numerically exploits the use of a phase-field model to simulate and investigate fracture patterns, deformation mechanisms, damage, and mechanical responses in a human vertebra after the incision of pedicle screws under…

计算工程、金融与科学 · 计算机科学 2023-06-21 Deison Preve , Pietro Lenarda , Daniele Bianchi , Alessio Gizzi

The properties of slow crack growth in brittle materials are analyzed both theoretically and experimentally. We propose a model based on a thermally activated rupture process. Considering a 2D spring network submitted to an external load…

材料科学 · 物理学 2009-11-13 Stéphane Santucci , Loic Vanel , Sergio Ciliberto

The analogy between frictional cracks, propagating along interfaces in frictional contact, and ordinary cracks in bulk materials is important in various fields. We consider a stress-controlled frictional crack propagating at a velocity…

材料科学 · 物理学 2025-04-08 Efim A. Brener , Eran Bouchbinder

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

This paper presents an adaptive strategy for phase-field simulations with transition to fracture. The phase-field equations are solved only in small subdomains around crack tips to determine propagation, while an XFEM discretization is used…

计算工程、金融与科学 · 计算机科学 2020-07-28 Alba Muixí , Onofre Marco , Antonio Rodríguez-Ferran , Sonia Fernández-Méndez

Cracks develop various surface patterns as they propagate in three-dimensional (3D) materials. Facet formation in nominally tensile (mode-I) fracture emerge in the slow, non-inertial regime and oftentimes takes the form of surface steps. We…

材料科学 · 物理学 2024-03-27 Yuri Lubomirsky , Eran Bouchbinder

The classical variational approach to brittle fracture propagation does not distinguish between strain energy accumulation in tension versus compression and consequently results in physically unrealistic cracking under compression. A…

材料科学 · 物理学 2024-10-15 Chang Liu , Aditya Kumar

A phase-field model is used to capture the surfactant-driven formation of fracture patterns in particulate monolayers. The model is intended for the regime of closely-packed systems in which the mechanical response of the monolayer can be…

软凝聚态物质 · 物理学 2017-06-30 Christian Peco , Wei Chen , Yingjie Liu , M. M. Bandi , John E. Dolbow , Eliot Fried

We propose a new direction-dependent model for the unilateral constraint involved in the phase field approach to fracture and also in the continuous damage mechanics models. The construction of this phase field model is informed by…

计算工程、金融与科学 · 计算机科学 2023-10-05 Yangyuanchen Liu , Cheng Cheng , Vahid Ziaei-Rad , Yongxing Shen

Extreme mechanical processes such as strong lattice distortion and bond breakage during fracture are ubiquitous in nature and engineering, which often lead to catastrophic failure of structures. However, understanding the nucleation and…

材料科学 · 物理学 2024-07-23 Pengjie Shi , Zhiping Xu

Stress corrosion cracking (SCC) is a form of failure in metals that is present mostly in systems where humidity contact and mechanical load play a key role. Therefore, prediction of the combined effect is desired. There are models based on…

材料科学 · 物理学 2021-11-10 Jorge G. Diaz

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 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

Recent years have seen a significant interest in using phase field approaches to model hydraulic fracture, so as to optimise a process that is key to industries such as petroleum engineering, mining and geothermal energy extraction. Here,…

计算工程、金融与科学 · 计算机科学 2025-06-24 Y. Navidtehrani , C. Betegón , J. Vallejos , E. Martínez-Pañeda

This work addresses an efficient Global-Local approach supplemented with predictor-corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on…

数值分析 · 数学 2020-02-19 Nima Noii , Fadi Aldakheel , Thomas Wick , Peter Wriggers