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The aim of the present work is to introduce a thermodynamic model to describe the growth of an oxide layer on a metallic substrate. More precisely, this paper offers a study of oxygen dissolution into a solid, and its consequences on the…

Chemical Physics · Physics 2009-09-15 Nicolas Creton , Virgil Optasanu , Tony Montesin , Sébastien Garruchet , Lionel Desgranges

A new formulation of the Phase Field Crystal model is presented that is consistent with the necessary microscopic independence between the phase field, reflecting the broken symmetry of the phase, and both mass density and elastic…

Materials Science · Physics 2020-09-09 Amit Acharya , Jorge Viñals

A new computational framework is presented to predict the structural integrity of welds in hydrogen transmission pipelines. The framework combines: (i) a thermo-mechanical weld process model, and (ii) a coupled…

Computational Engineering, Finance, and Science · Computer Science 2026-01-05 L. Castro , Y. Navidtehrani. C. Betegón , E. Martínez-Pañeda

This paper presents the first time implementation of the eXtended Finite Element Method (XFEM) in the general purpose commercial software COMSOL Multiphysics. An enrichment strategy is proposed, consistent with the structure of the…

Computational Engineering, Finance, and Science · Computer Science 2021-09-08 Ahmad Jafari , Pooyan Broumand , Mohammad Vahab , Nasser Khalili

Fatigue fracture in ductile materials, e. g. metals, is caused by cyclic plasticity. Especially regarding the high numbers of load cycles, plastic material models resolving the full loading path are computationally very demanding. Herein, a…

Materials Science · Physics 2019-10-24 Martha Seiler , Thomas Linse , Peter Hantschke , Markus Kästner

Progressive damage, which eventually leads to failure, is ubiquitous in biological and synthetic polymers. The simplest case to consider is that of elastomeric materials, which can undergo large reversible deformations with negligible rate…

Soft Condensed Matter · Physics 2018-02-14 Brandon Talamini , Yunwei Mao , Lallit Anand

Fracture in aluminum alloys with precipitates involves at least two mechanisms, namely, ductile fracture of the aluminum-rich matrix and brittle fracture of the precipitates. In this work, a coupled crystal plasticity-phase field model for…

Materials Science · Physics 2022-05-02 Samad Vakili , Pratheek Shanthraj , Franz Roters , Jaber R. Mianroodi , Dierk Raabe

We test and simulate the mesoscopic cracking behavior of specimens made of a standard concrete mixture. To this end, we combine stable wedge-splitting fracture experiments performed during X-ray tomography, their analysis with digital…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Akanksha Mishra , Pietro Carrara , Michele Griffa , Laura De Lorenzis

Predicting the evolving microstructure of hydrating cement is essential for understanding and modeling its mechanical property development. Physics-based continuum approaches offer a rigorous framework for capturing the thermodynamics of…

Materials Science · Physics 2026-03-31 Alexandre Sac-Morane , Katerina Ioannidou , Manolis Veveakis , Hadrien Rattez

Hydrogen embrittlement of metals and alloys, particularly steels, has been an important scientific and engineering challenge in the Oil and Gas industry for many years. It impacts the integrity and performance of a wide range of structures…

Computational Engineering, Finance, and Science · Computer Science 2024-08-29 Dakshina Murthy Valiveti , T. Neeraj

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…

Materials Science · Physics 2021-04-07 Martha Seiler , Sören Keller , Nikolai Kashaev , Benjamin Klusemann , Markus Kästner

We present a new multiphase-field theory for describing pattern formation in multi-domain and/or multi-component systems. The construction of the free energy functional and the dynamic equations is based on criteria that ensure mathematical…

Materials Science · Physics 2015-12-09 Gyula I. Toth , Tamas Pusztai , Laszlo Granasy

This work presents a variational physics-informed deep learning framework for phase-field modelling of brittle crack propagation in anisotropic media. Previous Deep Ritz Method (DRM) approaches have focused on second-order, isotropic…

Computational Physics · Physics 2026-04-15 N. Plungė , P. Brommer , R. S. Edwards , E. G. Kakouris

This paper proposes a phase field model for fracture in poroelastic media. The porous medium is modeled based on the classical Biot poroelasticity theory and the fracture behavior is controlled by the phase field model. Moreover, the…

Geophysics · Physics 2019-02-27 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

A multiscale scheme combining molecular dynamics (MD) and microscopic phase-field theory is proposed to study the structural phase transformations in solids with inhomogeneous strain field. The approach calculates strain response based on…

Materials Science · Physics 2007-05-23 Zhi-Rong Liu , Huajian Gao

A micromechanically motivated phase-field damage model is proposed to investigate the fracture behaviour in crosslinked polyurethane adhesive. The crosslinked polyurethane adhesive typically show viscoelastic behaviour with geometric…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 S. P. Josyula , M. Brede , O. Hesebeck , K. Koschek , W. Possart , A. Wulf , B. Zimmer , S. Diebels

We investigate the role of microstructural bridging on the fracture toughness of composite materials. To achieve this, a new computational framework is presented that integrates phase field fracture and cohesive zone models to simulate…

Applied Physics · Physics 2022-01-11 W. Tan , E. Martínez-Pañeda

We introduce a phase-field method for continuous modeling of cracks with frictional contacts. Compared with standard discrete methods for frictional contacts, the phase-field method has two attractive features: (1) it can represent…

Numerical Analysis · Mathematics 2020-01-29 Fan Fei , Jinhyun Choo

The interface plays a critical role in the mechanical properties of composites. In the present work, a novel phase-field based cohesive zone model (CZM) is proposed for the cracking simulation. The competition and interaction between the…

Materials Science · Physics 2021-02-23 Peiliang Bian , Hai Qing

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