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The reduction of iron ore with carbon-carriers is one of the largest sources of greenhouse gas emissions in the industry, motivating global activities to replace the coke-based blast furnace reduction by hydrogen-based direct reduction…

Experiments have shown that pitting corrosion can develop in aluminum surfaces at potentials $> -0.5$ V relative to the standard hydrogen electrode (SHE). Until recently, the onset of pitting corrosion in aluminum has not been rigorously…

Materials Science · Physics 2023-03-29 Quinn Campbell

In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a…

Computational Engineering, Finance, and Science · Computer Science 2023-12-21 Felix Schmidt , Stefan Schuß , Christian Hesch

Laboratory and numerical corrosion experiments impose an electric potential on the metal surface, differing from natural corrosion conditions, where corrosion typically occurs in the absence of external current sources. In this work, we…

Chemical Physics · Physics 2023-05-23 Tim Hageman , Carmen Andrade , Emilio Martínez-Pañeda

Hydrogen at high temperature and pressure undergoes a phase transition from a liquid molecular phase to a conductive atomic state, or liquid metallic hydrogen, sometimes referred to as the plasma phase transition (PPT). The PPT phase line…

Materials Science · Physics 2019-10-30 Matthew Houtput , Jacques Tempere , Isaac F. Silvera

This work presents a new adaptive approach for the numerical simulation of a phase-field model for fractures in nearly incompressible solids. In order to cope with locking effects, we use a recently proposed mixed form where we have a…

Numerical Analysis · Mathematics 2021-06-18 Katrin Mang , Mirjam Walloth , Thomas Wick , Winnifried Wollner

We propose a novel variational phase-field model for fracture in anisotropic materials. The model is specifically designed to allow a more flexible calibration of crack nucleation than existing anisotropic fracture formulations, while…

Directional solidification of water-based solutions has emerged as a versatile technique for templating hierarchical porous materials. However, the underlying mechanisms of pattern formation remain incompletely understood. In this work, we…

Materials Science · Physics 2026-03-20 Kaihua Ji , Alain Karma

A nonlinear phase-field model is developed to simulate corrosion damage. The motion of the electrode$-$ electrolyte interface follows the usual kinetic rate theory for chemical reactions based on the Butler-Volmer equation. The model links…

Chemical Physics · Physics 2024-08-28 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

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…

Computational Engineering, Finance, and Science · Computer Science 2025-06-09 M. Askari , P. Broumand , M. Javidi

Electrochemical corrosion significantly reduces the durability of electrodes in water electrolyzers, adversely affecting hydrogen (H$_2$) production and cell efficiency. Current theoretical models inadequately assess corrosion behaviors in…

We develop and harness a phase field simulation method to study liquid filling on grooved surfaces. We consider both short-range and long-range liquid-solid interactions, with the latter including purely attractive and repulsive…

This paper proposes a phase field model (PFM) for describing hydraulic fracture propagation in transversely isotopic media. The coupling between the fluid flow and displacement fields is established according to the classical Biot…

Geophysics · Physics 2023-09-11 Shuwei Zhou , Xiaoying Zhuang

A novel phase field material point method is introduced for robust simulation of dynamic fracture in elastic media considering the most general case of anisotropic surface energy. Anisotropy is explicitly introduced through a properly…

Numerical Analysis · Mathematics 2019-09-04 Emmanouil Kakouris , Savvas P. Triantafyllou

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

Hydrogen embrittlement of uranium, which arises due to the formation of a structurally weak pyrophoric hydride, poses a major safety risk in material applications. Previous experiments have shown that hydriding begins on top or near the…

Materials Science · Physics 2022-05-10 Artem Soshnikov , Ambarish Kulkarni , Nir Goldman

A simulation strategy based in the finite element model was developed to model the corrosion and mechanical properties of biodegradable Mg scaffolds manufactured by laser power bed fusion after immersion in simulated body fluid. Corrosion…

Applied Physics · Physics 2022-01-19 Mohammad Marvi-Mashhadi , Wahaaj Ali , Muzi Li , Carlos González , Javier LLorca

We present a combined phase field and cohesive zone formulation for hydrogen embrittlement that resolves the polycrystalline microstructure of metals. Unlike previous studies, our deformation-diffusion-fracture modelling framework accounts…

Materials Science · Physics 2022-07-18 A. Valverde-González , E. Martínez-Pañeda , A. Quintanas-Corominas , J. Reinoso , M. Paggi

Corrosion fatigue is a major threat to the integrity of marine structures. However, the combined damaging effect of corrosion and fatigue is not well understood due to the uncertainties associated with the stochastic nature of pitting…

Numerical Analysis · Mathematics 2023-02-24 Mojtaba Mokhtari , Xintong Wang , Jorgen Amdahl

In this work, a numerical simulation framework is presented based on the Phase Field Method that is able to capture the evolution of heterogeneous metallic microstructures during solidification. The involved physics can prove especially…

Materials Science · Physics 2021-10-22 Patrick Zimbrod , Johannes Schilp