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Related papers: A phase field model for hydrogen-assisted fatigue

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The phase field method has gathered significant attention in the past decade due to its versatile applications in engineering contexts, including fatigue crack propagation modeling. Particularly, the phase field cohesive zone method…

Computational Engineering, Finance, and Science · Computer Science 2024-02-06 A. Baktheer , E. Martínez-Pañeda , F. Aldakheel

We present a phase field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different behavior of cracks (the principle of local symmetry, the…

Other Condensed Matter · Physics 2007-05-23 Herve Henry , Herbert Levine

We combine state-of-the-art thermo-metallurgical welding process modelling with coupled diffusion-elastic-plastic phase field fracture simulations to predict the failure states of hydrogen transport pipelines. This enables quantitatively…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 J. Wijnen , J. Parker , M. Gagliano , E. Martínez-Pañeda

The transient dimensional changes during \textit{hygro}-expansion and \textit{hydro}-expansion of freely and restrained dried, softwood and hardwood sheets and fibers is monitored, to unravel the governing micro-mechanisms occurring during…

A novel numerical approach to analyze the mechanical behavior within composite materials including the inelastic regime up to final failure is presented. Therefore, a second-gradient theory is combined with phase-field methods to fracture.…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Maik Dittman , Jonathan Schult , Felix Schmidt , Christian Hesch

In this study, a multiphysics model fully coupling mass transport, deformation, phase field, and fatigue damage was developed to investigate the cracking and fracturing behaviours of Si particles during the single lithiation-delithiation…

Applied Physics · Physics 2026-01-06 Jie Yang , Wei Tan

Variational phase-field models of fracture are widely used to simulate nucleation and propagation of cracks in brittle materials. They are based on the approximation of the solutions of free-discontinuity fracture energy by two smooth…

Numerical Analysis · Mathematics 2023-02-14 Frederic Marazzato , Blaise Bourdin

This article presents a multi-phase-field poromechanics model that simulates the growth and thaw of ice lenses and the resultant frozen heave and thaw settlement in multi-constituent frozen soils. In this model, the growth of segregated ice…

Geophysics · Physics 2022-08-24 Hyoung Suk Suh , WaiChing Sun

In recent years, various phase field models have been developed in variational methods to simulate the failure of brittle solids. However, there is a lack of objective evaluation of the existing results, and in particular, there are few…

Numerical Analysis · Mathematics 2021-09-23 Yuanfeng Yu , Xiaoya Zheng , Peng Li , Zhongzhou Zhang , Jinyou Xiao

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

Materials Science · Physics 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

Cracking of rocks and rock-like materials exhibits a rich variety of patterns where tensile (mode I) and shear (mode II) fractures are often interwoven. These mixed-mode fractures are usually cohesive (quasi-brittle) and frictional.…

Geophysics · Physics 2021-01-12 Fan Fei , Jinhyun Choo

We present a new numerical approach for wave induced dynamic fracture. The method is based on a discontinuous Galerkin approximation of the first-order hyperbolic system for elastic waves and a phase-field approximation of brittle fracture…

Numerical Analysis · Mathematics 2022-02-02 Kerstin Weinberg , Christian Wieners

We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case…

Materials Science · Physics 2019-04-19 Hirshikesh , Sundararajan Natarajan , Ratna K. Annabattula , Emilio Martínez-Pañeda

This paper aims to experimentally and numerically probe fatigue behaviours and lifetimes of novel GLARE (glass laminate aluminium reinforced epoxy) laminates under random loading spectrum. A mixed algorithm based on fatigue damage concepts…

Applied Physics · Physics 2023-02-22 Zheng-Qiang Cheng , Wei Tan , Jun-Jiang Xiong , Er-Ming Hed , Tao-Huan Xiong , Ying-Peng Wang

Phase-field fracture models are known to overestimate the crack area, a discrepancy that compromises the accuracy of fracture predictions. This issue stems from the diffuse crack representation and numerical artifacts, such as strain…

Materials Science · Physics 2026-05-06 M. Castillón , J. Segurado , I. Romero

In this article we consider the numerical modeling and simulation via the phase field approach of two-phase flows of different densities and viscosities in superposed fluid and porous layers. The model consists of the…

Numerical Analysis · Mathematics 2021-12-09 Yali Gao , Daozhi Han , Xiaoming He , Ulrich Rüde

Modeling hydrogen diffusion and its absorption in traps is a fundamental first step towards the understanding and prediction of hydrogen embrittlement. In this study, a multiscale approach which includes DFT simulations, OkMC, and…

Materials Science · Physics 2025-12-22 Gonzalo Álvarez , Álvaro Ridruejo , Javier Segurado

In this paper we report on 2D numerical simulations concerning linear and nonlinear evolution of surface-tension-driven instability in two-fluid systems heated from below using classical and phase-field models. In the phase-field formalism,…

Pattern Formation and Solitons · Physics 2015-06-26 Rodica Borcia , Domnic Merkt , Michael Bestehorn

Heterostructured (HS) materials exhibit excellent mechanical properties, combining high strength and significant ductility. Hetero-deformation-induced (HDI) hardening and strain de-localization are key to their strength-ductility synergy.…

Materials Science · Physics 2025-12-03 Yukai Xiong , Jianfeng Zhao , Jinling Liu , Jie Wang , Michael Zaiser , Xu Zhang

We develop and implement numerically a phase field model for the growth and detachment of a gas bubble resting on an electrode and being filled with hydrogen produced by water electrolysis. The bubble is surrounded by a viscous liquid, has…

Soft Condensed Matter · Physics 2025-12-19 Carlos Uriarte , Marco A. Fontelos , Manuel Arrayás