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We present a new mechanistic, phase field-based formulation for predicting hydrogen embrittlement. The multi-physics model developed incorporates, for the first time, a Taylor-based dislocation model to resolve the mechanics of crack tip…

Materials Science · Physics 2021-08-03 M. Isfandbod , E. Martínez-Pañeda

Prediction of hydrogen embrittlement requires a robust modelling approach and this will foster the safe adoption of hydrogen as a clean energy vector. A generalised computational model for hydrogen embrittlement is here presented, based on…

Computational Engineering, Finance, and Science · Computer Science 2025-03-04 A. Díaz , J. M. Alegre , I. I. Cuesta , E. Martínez-Pañeda

We present a phase field-based electro-chemo-mechanical formulation for modelling mechanics-enhanced corrosion and hydrogen-assisted cracking in elastic-plastic solids. A multi-phase-field approach is used to present, for the first time, a…

Materials Science · Physics 2022-06-22 C. Cui , R. Ma , E. Martínez-Pañeda

The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of…

Applied Physics · Physics 2020-11-17 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

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

Hydrogen threatens the structural integrity of metals and thus predicting hydrogen-material interactions is key to unlocking the role of hydrogen in the energy transition. Quantifying the interplay between material deformation and hydrogen…

Computational Engineering, Finance, and Science · Computer Science 2025-03-04 A. Díaz , J. M. Alegre , I. I. Cuesta , E. Martínez-Pañeda

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

A novel phase-field for ductile fracture model is presented. The model is developed within a consistent variational framework in the context of finite-deformation kinematics. A novel coalescence dissipation introduces a new coupling…

Materials Science · Physics 2021-03-24 Tianchen Hu , Brandon Talamini , Andrew J. Stershic , Michael R. Tupek , John E. Dolbow

The multiscale picture of hydrogen embrittlement (HE) mechanisms has been under controversy for a long time. Here I report a thermomechanically-consistent HERB framework driven by the Rice-Beltz concept meanwhile incorporating the hydrogen…

Materials Science · Physics 2026-03-04 Kai Zhao

We present a phase field modeling framework for hydrogen assisted cracking. The model builds upon a coupled mechanical and hydrogen diffusion response, driven by chemical potential gradients, and a hydrogen-dependent fracture energy…

Numerical Analysis · Mathematics 2018-08-10 Emilio Martínez-Pañeda , Alireza Golahmar , Christian F. Niordson

Hydrogen embrittlement (HE) poses a significant challenge to the durability of materials used in hydrogen production and utilization. Disentangling the competing nanoscale mechanisms driving HE often relies on simulations and…

In chemically reactive environments, the mechanical integrity of geomaterials is fundamentally compromised by solid matrix dissolution. In this study, we propose a fully coupled chemo-mechanical phase-field framework to capture the dynamic…

Materials Science · Physics 2026-04-14 Fanyu Wu , Chong Liu , Manolis Veveakis , Manman Hu

Recent years have seen a significant interest in using phase field approaches to model hydraulic fracture, so as to optimise a process that is key to industries such as petroleum engineering, mining and geothermal energy extraction. Here,…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Y. Navidtehrani , C. Betegón , J. Vallejos , E. Martínez-Pañeda

We present a new theoretical and computational framework for modelling electro-chemo-mechanical fracture. The model combines a phase field description of fracture with a fully coupled characterisation of electrolyte behaviour, surface…

Computational Engineering, Finance, and Science · Computer Science 2023-08-02 T. Hageman , E. Martínez-Pañeda

A rapid fracture test in four-point bending is proposed to assess hydrogen embrittlement (HE) susceptibility of high strength martensitic steels. The novelty of this technique is the rapid rate of loading, whereas conventional approaches…

Materials Science · Physics 2021-07-28 Tuhin Das , Salim V. Brahimi , Jun Song , Stephen Yue

This study clarifies the hydrogen embrittlement (HE) behavior in a 1.5 GPa ferrite-martensite dual-phase (DP) steel. Hydrogen pre-charging (3.8 mass ppm diffusible hydrogen), followed by slow strain tensile testing (10-4 s-1), resulted in a…

Materials Science · Physics 2025-09-15 Rama Srinivas Varanasi , Motomichi Koyama , Shuya Chiba , Saya Ajito , Eiji Akiyama

The accurate and efficient prediction of crack propagation in dielectric materials is a critical challenge in structural health monitoring and the design of smart systems. This work presents a hybrid modeling framework that combines an…

Computational Physics · Physics 2026-02-03 Aamir Dean , Jaykumar Mavani , Betim Bahtiri , Behrouz Arash , Raimund Rolfes

We propose a new direction-dependent model for the unilateral constraint involved in the phase field approach to fracture and also in the continuous damage mechanics models. The construction of this phase field model is informed by…

Computational Engineering, Finance, and Science · Computer Science 2023-10-05 Yangyuanchen Liu , Cheng Cheng , Vahid Ziaei-Rad , Yongxing Shen

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

Due to its computational robustness and versatility, the phase field fracture model has become the preferred tool for predicting a wide range of cracking phenomena. However, in its conventional form, its intrinsic tension-compression…

Materials Science · Physics 2022-08-23 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda
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