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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

We present a novel, generalised formulation to treat coupled structural integrity problems by combining phase field and multi-physics modelling. The approach exploits the versatility of the heat transfer equation and is therefore well…

Computational Engineering, Finance, and Science · Computer Science 2025-06-27 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda

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

We develop and demonstrate the first general computational tool for finite deformation static and dynamic dislocation mechanics. A finite element formulation of finite deformation (Mesoscale) Field Dislocation Mechanics theory is presented.…

Materials Science · Physics 2020-06-24 Rajat Arora , Xiaohan Zhang , Amit Acharya

Understanding crack tip - dislocation interaction is critical for improving the fracture resistance of semi-brittle materials like room-temperature plastically deformable ceramics. Here, we use a modified double cleavage drilled compression…

Materials Science · Physics 2025-10-17 Oliver Preuß , Zhangtao Li , Enrico Bruder , Philippe Carrez , Yinan Cui , Jürgen Rödel , Xufei Fang

Understanding the nature of brittle failure in ferroelectric materials is essential, but difficult due to the complex interaction between mechanical and electrical concentrated fields near the crack tip. In this work, an extended…

Materials Science · Physics 2024-05-22 Chang Liu , Yu Tan , Yong Zhang , Zhaoyi Liu , Takahiro Shimada , Xiangyu Li , Jie Wang

A robust $hp$-adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such heterogeneous media, the equilibrium equation governed by…

Numerical Analysis · Mathematics 2025-12-29 S. M. Mallikarjunaiah

This paper outlines a rigorous variational-based multilevel Global-Local formulation for ductile fracture. Here, a phase-field formulation is used to resolve failure mechanisms by regularizing the sharp crack topology on the local state.…

Numerical Analysis · Mathematics 2021-10-04 Fadi Aldakheel , Nima Noii , Thomas Wick , Olivier Allix , Peter Wriggers

We present a generalised phase field-based formulation for predicting fatigue crack growth in metals. The theoretical framework aims at covering a wide range of material behaviour. Different fatigue degradation functions are considered and…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Z. Khalil , A. Y. Elghazouli , E. Martínez-Pañeda

Geologic shear fractures such as faults and slip surfaces involve marked friction along the discontinuities as they are subjected to significant confining pressures. This friction plays a critical role in the growth of these shear…

Geophysics · Physics 2020-07-23 Fan Fei , Jinhyun Choo

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

Green hydrogen is likely to play a major role in decarbonising the aviation industry. It is crucial to understand the effects of microstructure on hydrogen redistribution, which may be implicated in the embrittlement of candidate fuel…

Materials Science · Physics 2025-10-28 Daniel J Long , Edmund Tarleton , Alan CF Cocks , Felix Hofmann

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

Numerical Analysis · Mathematics 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

In the last ten years, the phase-field method has gained much attention as a novel method to simulate fracture due to its straightforward way allowing to cover crack initiation and propagation without additional conditions. More recently,…

Materials Science · Physics 2023-05-31 Martha Kalina , Tom Schneider , Jörg Brummund , Markus Kästner

This work presents a comprehensive phase-field framework for modeling anisotropic viscoelastic-viscoplastic fracture in short fiber-reinforced polymer (SFRP) composites under hygrothermal environments at finite deformation. The constitutive…

Computational Engineering, Finance, and Science · Computer Science 2026-03-04 Behrouz Arash , Shadab Zakavati , Timon Rabczuk

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 combine welding process modelling with deformation-diffusion-fracture (embrittlement) simulations to predict failures in hydrogen transport pipelines. The focus is on the structural integrity of seam welds, as these are often the…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 T. K. Mandal , J. Parker , M. Gagliano , E. Martínez-Pañeda

A consistent treatment of the coupling of surface energy and elasticity within the multi-phase- field framework is presented. The model accurately reproduces stress distribution in a number of analytically tractable, yet non-trivial, cases…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Raphael Schiedung , Ingo Steinbach , Fathollah Varnik

We study the sharp interface limit and well-posedness of a phase field model for self-climb of prismatic dislocation loops in periodic settings. The model is set up in a Cahn-Hilliard/Allen-Cahn framework featured with degenerate…

Analysis of PDEs · Mathematics 2023-02-09 Xiaohua Niu , Xiaodong Yan

Ever more stringent regulations on greenhouse gas emissions from transportation motivate efforts to revisit materials used for vehicles. High-strength Al-alloys often used in aircrafts could help reduce the weight of automobiles, but are…