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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…

应用物理 · 物理学 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…

适应与自组织系统 · 物理学 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…

数值分析 · 数学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

数值分析 · 数学 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.…

计算物理 · 物理学 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…

计算工程、金融与科学 · 计算机科学 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…

应用物理 · 物理学 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…

数值分析 · 数学 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…

计算工程、金融与科学 · 计算机科学 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…

应用统计 · 统计学 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…

地球物理 · 物理学 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…

材料科学 · 物理学 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…