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The crack phase field model has been well established and validated for a variety of complex crack propagation patterns within a homogeneous medium under either tensile or shear loading. However, relatively less attention has been paid to…

Materials Science · Physics 2018-09-14 Heeyeong Jeong , Stefano Signetti , Tong-Seok Han , Seunghwa Ryu

We present a new theoretical and numerical framework for modelling mechanically-assisted corrosion in elastic-plastic solids. Both pitting and stress corrosion cracking (SCC) can be captured, as well as the pit-to-crack transition.…

Applied Physics · Physics 2020-12-30 Chuanjie Cui , Rujin Ma , Emilio Martínez-Pañeda

Deep learning models are widely used across computer vision and other domains. When working on the model induction, selecting the right architecture for a given dataset often relies on repetitive trial-and-error procedures. This procedure…

Machine Learning · Computer Science 2026-01-06 Yen-Chia Chen , Hsing-Kuo Pao , Hanjuan Huang

Engineers and scientists have been collecting and analyzing fatigue data since the 1800s to ensure the reliability of life-critical structures. Applications include (but are not limited to) bridges, building structures, aircraft and…

The trade-off between accuracy and computational cost as a function of the size and number of simulation boxes was studied for large-scale phase-field simulations. For this purpose, a reference simulation box was incrementally partitioned.…

The accurate and efficient evaluation of potentials is of great importance for the numerical solution of partial differential equations. When the integration domain of the potential is irregular and is discretized by an unstructured mesh,…

Numerical Analysis · Mathematics 2022-06-20 Zewen Shen , Kirill Serkh

The phase field model is a widely used mathematical approach for describing crack propagation in continuum damage fractures. In the context of phase field fracture simulations, adaptive finite element methods (AFEM) are often employed to…

Numerical Analysis · Mathematics 2025-05-30 Tian Tian , Chen Chunyu , He Liang , Wei Huayi

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…

Numerical Analysis · Mathematics 2017-09-07 Sanghyun Lee , Thomas Wick , Mary F. Wheeler

Variational phase field fracture models are now widely used to simulate crack propagation in structures. A critical aspect of these simulations is the correct determination of the propagation threshold of pre-existing cracks, as it highly…

Computational Engineering, Finance, and Science · Computer Science 2025-02-07 Flavien Loiseau , Veronique Lazarus

To deploy the airframe digital twin or to conduct probabilistic evaluations of the remaining life of a structural component, a (near) real-time crack-growth simulation method is critical. In this paper, a reduced-order simulation approach…

Applied Physics · Physics 2022-11-14 Xuan Zhou , Shuangxin He , Leiting Dong , Satya N. Atluri

We develop and analyse the first second-order phase-field model to combine melting and dissolution in multi-component flows. This provides a simple and accurate way to simulate challenging phase-change problems in existing codes.…

Computational Physics · Physics 2020-12-09 Eric W. Hester , Louis-Alexandre Couston , Benjamin Favier , Keaton J. Burns , Geoffrey M. Vasil

The $\xi$-based spatially adaptive three-field variable phase-field model for quasi-static anti-plane crack propagation is introduced. A dynamically optimized regularization length is integrated to improve computational efficiency and…

Numerical Analysis · Mathematics 2025-06-17 Maria P. Fernando , S. M. Mallikarjunaiah

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…

Computational Engineering, Finance, and Science · Computer Science 2023-08-23 Roman Vodička

In functionally graded materials (FGMs) fabricated using directed energy deposition (DED) additive manufacturing (AM), cracks may form due to interdendritic stress during solidification, the formation of intermetallics, or the buildup of…

Materials Science · Physics 2023-05-22 Zhening Yang , Hui Sun , Zi-Kui Liu , Allison M. Beese

The increasing use of polymer composites in industry asks for the creation of better, faster and cost-effective methods to detect the damage state of such materials. This work presents the investigation of the phase decay , $\Delta{\Phi}$,…

Applied Physics · Physics 2024-04-24 Matias Lasen , Dario Di Maio , Damaso De Bono , Michelle Peluzzo

We present a gradient-based theoretical framework for predicting hydrogen assisted fracture in elastic-plastic solids. The novelty of the model lies in the combination of: (i) stress-assisted diffusion of solute species, (ii) strain…

Materials Science · Physics 2020-07-15 Philip K. Kristensen , Christian F. Niordson , Emilio Martínez-Pañeda

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…

Numerical Analysis · Mathematics 2019-05-22 Nima Noii , Thomas Wick

Particle-laden flows occur in a wide range of disciplines, from atmospheric flows to renewable energy to turbomachinery. They generally pose a challenging environment for the numerical prediction of particle-induced phenomena due to their…

Computational Physics · Physics 2023-05-17 Patrick Kopper , Anna Schwarz , Stephen M. Copplestone , Philip Ortwein , Stephan Staudacher , Andrea Beck

Variational phase-field methods have been shown powerful for the modeling of complex crack propagation without a priori knowledge of the crack path or ad hoc criteria. However, phase-field models suffer from their energy functional being…

Computational Engineering, Finance, and Science · Computer Science 2021-09-15 O. Lampron , D. Therriault , M. Lévesque

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…

Computational Engineering, Finance, and Science · Computer Science 2023-06-21 Deison Preve , Pietro Lenarda , Daniele Bianchi , Alessio Gizzi
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