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Bone adapts in response to its mechanical environment. This evolution of bone density is one of the most important mechanisms for developing fracture resistance. A finite element framework for simulating bone adaptation, commonly called…

计算工程、金融与科学 · 计算机科学 2020-01-06 Karol Lewandowski , Łukasz Kaczmarczyk , Ignatios Athanasiadis , John F. Marshall , Chris J. Pearce

Modeling hydrogen embrittlement (HE) is a long-standing engineering challenge, which has experienced significant developments in recent years. Yet, there is a gap in modeling the effect of the kinetics of hydrogen segregation at…

材料科学 · 物理学 2026-04-08 Abdelrahman Hussein , Yann Charles , Jukka Kömi , Vahid Javaheri

Conforming materials to rigid substrates with Gaussian curvature --- positive for spheres and negative for saddles --- has proven a versatile tool to guide the self-assembly of defects such as scars, pleats, folds, blisters, and liquid…

软凝聚态物质 · 物理学 2017-10-03 Noah P. Mitchell , Vinzenz Koning , Vincenzo Vitelli , William T. M. Irvine

We present a novel experimental approach based on 3D printing and X-ray computed tomography to characterize fracture aperture distribution and evolution in 3D fracture networks under varying stress loading conditions. We validate our…

仪器与探测器 · 物理学 2025-08-12 A. Patsoukis Dimou , Q. Lei , N. Watanabe , A. Suzuki

The technique of distributed dislocations proved to be in the past an effective approach in studying crack problems within classical elasticity. The present work is intended to extend this technique in studying crack problems within…

数学物理 · 物理学 2017-07-04 P. A. Gourgiotis , H. G. Georgiadis

This study presents a novel coupled mechano-electro-chemical formulation for predicting stress corrosion cracking (SCC) phenomena in steel structures using the phase field method. SCC is a complex damage process that arises from the…

计算工程、金融与科学 · 计算机科学 2025-06-09 M. Askari , P. Broumand , M. Javidi

A moving mesh finite element method is studied for the numerical solution of a phase-field model for brittle fracture. The moving mesh partial differential equation approach is employed to dynamically track crack propagation. Meanwhile, the…

数值分析 · 数学 2018-01-17 Fei Zhang , Weizhang Huang , Xianping Li , Shicheng Zhang

Frictional sliding contact in hydrodynamic environments can be found in a range of engineering applications. Accurate modeling requires an integrated numerical framework capable of resolving large relative motions, multiphase interactions,…

计算物理 · 物理学 2025-10-01 Biswajeet Rath , Rajeev K. Jaiman

In this work, we present numerical studies of fixed-stress iterative coupling for solving flow and geomechanics with propagating fractures in a porous medium. Specifically, fracture propagations are described by employing a phase-field…

数值分析 · 数学 2017-09-07 Sanghyun Lee , Thomas Wick , Mary F. Wheeler

A force balance condition to predict quasistatic crack paths in anisotropic brittle materials is derived from an analysis of diffuse interface continuum models that describe both short-scale failure inside a microscopic process zone and…

材料科学 · 物理学 2009-11-10 Vincent Hakim , Alain Karma

As a consequence of shearing, wing cracks can emerge from pre-existing fractures. The process involves the interaction of sliding of the existing fracture surfaces and the tensile material failure that creates wing cracks. This work devises…

数值分析 · 数学 2020-09-11 Hau Dang-Trung , Eirik Keilegavlen , Inga Berre

Stress distributions and the corresponding fracture patterns and evolutions in the microstructures strongly influence the load-carrying capabilities of composite structures. This work introduces an enhanced phase-field fracture model…

计算工程、金融与科学 · 计算机科学 2024-11-19 Yanran Wang , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

This paper presents an overview of the theories and computer implementation aspects of phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches to fracture is that PFM can elegantly simulate complicated…

地球物理 · 物理学 2023-09-11 X. Zhuang , S. Zhou , G. D. Huynh , P. Areias , T. Rabczuk

We analyze a two-dimensional spring network model comprising breakable and unbreakable springs. Computer simulations showed this system to exhibit intermittent stress drops in a larger strain regime, and these stress drops resulted in…

统计力学 · 物理学 2024-05-02 Haruka Noguchi , Satoshi Yukawa

We present a new theoretical and numerical phase field-based formulation for predicting hydrogen-assisted fatigue. The coupled deformation-diffusion-damage model presented enables predicting fatigue crack nucleation and growth for arbitrary…

计算工程、金融与科学 · 计算机科学 2021-10-02 Alireza Golahmar , Philip K. Kristensen , Christian F. Niordson , Emilio Martínez-Pañeda

The problem of crack pattern formation due to thermal shock loading at the surface of half-space is solved numerically using two-dimensional boundary element method. The results of numerical simulations with 100-200 random simultaneously…

材料科学 · 物理学 2022-02-09 Sergejs Tarasovs , Ahmad Ghassemi

In a previous paper (Leblond et al., 2011), we proposed a theoretical interpretation of the experimentally well known instability of coplanar crack propagation in mode I+III. The interpretation relied on a stability analysis based on…

软凝聚态物质 · 物理学 2019-03-27 Jean-Baptiste Leblond , Alain Karma , Laurent Ponson , Aditya Vasudevan

In this work, distortion gradient plasticity is used to gain insight into material deformation ahead of a crack tip. This also constitutes the first fracture mechanics analysis of gradient plasticity theories adopting Nye's tensor as primal…

材料科学 · 物理学 2020-08-11 S. Fuentes-Alonso , E. Martínez-Pañeda

The problem of finding what direction cracks should move is not completely solved. A commonly accepted way to predict crack directions is by computing the density of elastic potential energy stored well away from the crack tip, and finding…

软凝聚态物质 · 物理学 2009-11-10 Michael Marder

Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of…

经典物理 · 物理学 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli