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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

Fatigue failure can be thought by studying the collective motions of defects inside materials instead of focusing on the growth of a pre-existing micro-crack. An experimental study of the statistical distribution of acoustic emissions…

Adaptation and Self-Organizing Systems · Physics 2010-11-03 C. Dunand-Chatellet , Z. Moumni

Laser powder bed fusion (L-PBF) additive manufacturing offers a remarkable balance of strength and ductility across many structural alloys. However, L-PBF alloys often display much lower fracture toughness, in some cases up to 70% below…

We investigate the potential of quasi-Newton methods in facilitating convergence of monolithic solution schemes for phase field fracture modelling. Several paradigmatic boundary value problems are addressed, spanning the fields of…

Numerical Analysis · Mathematics 2019-12-19 Philip K. Kristensen , Emilio Martínez-Pañeda

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

Predicting the runtime complexity of a programming code is an arduous task. In fact, even for humans, it requires a subtle analysis and comprehensive knowledge of algorithms to predict time complexity with high fidelity, given any code. As…

Machine Learning · Computer Science 2019-11-05 Jagriti Sikka , Kushal Satya , Yaman Kumar , Shagun Uppal , Rajiv Ratn Shah , Roger Zimmermann

Accurately predicting protein structures from amino acid sequences remains a fundamental challenge in computational biology, with profound implications for understanding biological functions and enabling structure-based drug discovery.…

Current hardware for quantum computing suffers from high levels of noise, and so to achieve practical fault-tolerant quantum computing will require powerful and efficient methods to correct for errors in quantum circuits. Here, we explore…

Quantum Physics · Physics 2023-08-16 Aditya Jain , Pavithran Iyer , Stephen D. Bartlett , Joseph Emerson

Topological quantum computing promises intrinsic fault tolerance by encoding quantum information in non-Abelian anyons, where quantum gates are implemented via braiding. While braiding operations are robust against local perturbations, a…

Quantum Physics · Physics 2025-08-15 Themba Hodge , Philipp Frey , Stephan Rachel

A representative volume element (RVE) based multi-scale method is proposed to investigate the mechanism of fatigue crack propagation by the molecular dynamics (MD) and the extended finite element methods(XFEM) in this study. An atomic model…

Numerical Analysis · Mathematics 2021-03-30 Zhenxing Cheng , Hu Wang , Gui-Rong Liu

Inverse design of high-resolution and fine-detailed 3D lightweight mechanical structures is notoriously expensive due to the need for vast computational resources and the use of very fine-scaled complex meshes. Furthermore, in designing for…

Motivated by the inadequacy of conducting atomistic simulations of crack propagation using static boundary conditions that do not reflect the movement of the crack tip, we extend Sinclair's flexible boundary condition algorithm [Philos.…

Computational Physics · Physics 2021-03-10 Maciej Buze , James R. Kermode

The time-dependent deformation of concrete, particularly creep, remains a key challenge for reliable and material-efficient design. Experimental results show that tailored preloading, short-term loads exceeding the subsequent sustained…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Leonie Heller , Christopher Taube , Gledson Rodrigo Tondo , Guido Morgenthal

We propose a novel variational phase-field model for fracture and fatigue in pseudoelastic shape memory alloys (SMAs). The model, developed in a one-dimensional setting, builds upon the Auricchio-Petrini constitutive formulation for SMAs…

Applied Physics · Physics 2026-05-28 Alma Brambilla , Laura De Lorenzis , Lorenza Petrini

Several aspects influence corrosive processes in RC structures, such as environmental conditions, structural geometry, and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate…

Numerical Analysis · Mathematics 2021-04-20 Karolinne O. Coelho , Edson D. Leonel , Julio Flórez-López

We present a generalised phase field formulation for predicting high-cycle fatigue in metals. Different fatigue degradation functions are presented, together with new damage accumulation strategies, to account for (i) a typical S-N curve…

Computational Engineering, Finance, and Science · Computer Science 2023-02-07 A. Golahmar , C. F. Niordson , E. Martínez-Pañeda

Surface metrology is the area of engineering concerned with the study of geometric variation in surfaces. This paper explores the potential for modern techniques from spatial statistics to act as generative models for geometric variation in…

Applications · Statistics 2022-10-04 Chris. J. Oates , Wilfrid S. Kendall , Liam Fleming

In order to better understand the interaction between pore-fluid overpressure and failure patterns in rocks we consider a porous elasto-plastic medium in which a laterally localized overpressure line source is imposed at depth below the…

Geophysics · Physics 2008-01-04 Alexander Rozhko , Yuri Podladchikov , François Renard

This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

Materials Science · Physics 2020-08-26 Sansit Patnaik , Fabio Semperlotti

Additively manufactured high strength aluminium alloy AA7075 was prepared using selective laser melting. High strength aluminium alloys prepared by selective laser melting have not been widely studied to date. The evolution of…

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