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There is a need for numerical models capable of predicting local accumulation of hydrogen near stress concentrators and crack tips to prevent and mitigate hydrogen assisted fracture in steels. The experimental characterisation of trapping…

Applied Physics · Physics 2020-10-27 A. Díaz , A. Zafra , E. Martínez-Pañeda , J. M. Alegre , J. Belzunce , I. I. Cuesta

Grain boundary (GB) segregation in magnesium (Mg) substantially influences its mechanical properties and performance. Atomic-scale modelling, typically using ab-initio or semi-empirical approaches, has mainly focused on GB segregation at…

Four different finite element level-set (FE-LS) formulations are compared for the modeling of grain growth in the context of polycrystalline structures and, moreover, two of them are presented for the first time using anisotropic grain…

Materials Science · Physics 2021-08-04 Brayan Murgas , Sebastian Florez , Nathalie Bozzolo , Julien Fausty , Marc Bernacki

We propose a level-set-based semi-Lagrangian method on graded adaptive Cartesian grids to address the problem of surface reconstruction from point clouds. The goal is to obtain an implicit, high-quality representation of real shapes that…

Numerical Analysis · Mathematics 2026-03-26 Silvia Preda , Matteo Semplice

We explore a new way to handle flux boundary conditions imposed on level sets. The proposed approach is a diffuse interface version of the shifted boundary method (SBM) for continuous Galerkin discretizations of conservation laws in…

Numerical Analysis · Mathematics 2022-05-11 Dmitri Kuzmin , Jan-Phillip Bäcker

We present a novel phase-field approach for investigating solute segregation in a moving grain boundary. In our model, the correct choice of various parameters can control the solute-grain boundary interaction potential, resulting in…

Materials Science · Physics 2023-08-17 Sandip Guin , Miral Verma , Soumya Bandyopadhyay , Yu-Chieh Lo , Rajdip Mukherjee

Discontinuous Galerkin (DG) methods offer an enormous flexibility regarding local grid refinement and variation of polynomial degrees for a variety of different problem classes. With a focus on diffusion problems, we consider DG…

Numerical Analysis · Mathematics 2013-01-01 Kolja Brix , Claudio Canuto , Wolfgang Dahmen

The granular microstructure of metals evolves significantly during thermomechanical processing through viscoplastic deformation and recrystallization. Microstructural features such as grain boundaries (GBs), subgrains, localized deformation…

Materials Science · Physics 2025-06-11 Izzet Tarik Tandogan , Michael Budnitzki , Stefan Sandfeld

The level set method commonly requires a reinitialization of the level set function due to interface motion and deformation. We extend the traditional technique for reinitializing the level set function to a method that preserves the…

Numerical Analysis · Mathematics 2017-03-13 Lei Li , Xiaoqian Xu , Saverio E. Spagnolie

Environmental and surface texture-induced temperature variation across the bridge deck is a major source of errors in delamination detection through thermography. This type of external noise poses a significant challenge for conventional…

Image and Video Processing · Electrical Eng. & Systems 2019-06-11 Chongsheng Cheng , Zhexiong Shang , Zhigang Shen

The evolution of electronic wave packets (WPs) through grain boundaries (GBs) of various structures in graphene was investigated by the numerical solution of the time-dependent Schroedinger equation. WPs were injected from a simulated STM…

Mesoscale and Nanoscale Physics · Physics 2013-08-12 Péter Vancsó , Géza I. Márk , Philippe Lambin , Alexandre Mayer , Yong-Sung Kim , Chanyong Hwang , László P. Biró

A parallel dynamic overset framework has been developed for the curvilinear immersed boundary (overset-CURVIB) method to enable tackling a wide range of challenging flow problems. The dynamic overset grids are used to locally increase the…

Computational Engineering, Finance, and Science · Computer Science 2019-10-22 Mohammadali Hedayat , Iman Borazjani

Atomistic simulations provide the most detailed picture of grain boundary (GB) migration currently available. Nevertheless, extracting unit mechanisms from atomistic simulation data is difficult because of the zoo of competing,…

Materials Science · Physics 2025-06-06 Ian Chesser , Brandon Runnels , Elizabeth Holm

A continuum grain boundary model is developed that uses experimentally measured grain boundary energy data as a function of misorientation to simulate idealized grain boundary evolution in a 1-D grain array. The model uses a continuum…

Materials Science · Physics 2024-01-29 Syed Ansari , Amit Acharya , Alankar Alankar

Interface migration in microstructures is mediated by the motion of line defects with step and dislocation character, i.e., disconnections. We propose a continuum model for arbitrarily-curved grain boundaries or heterophase interfaces…

Materials Science · Physics 2023-05-15 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

Slip transfer and blocking across grain boundaries was studied in a Ti foil with a strong rolling texture deformed in tension. Prior to deformation, the shape of the grains and the orientation of the grain boundaries were quantified through…

Materials Science · Physics 2023-10-11 E. Nieto-Valeiras , E. Ganju , N. Chawla , J. LLorca

Engineering structure of grain boundaries (GBs) by solute segregation is a promising strategy to tailor the properties of polycrystalline materials. Theoretically it has been suggested that solute segregation can trigger phase transitions…

Materials Science · Physics 2025-01-28 Vivek Devulapalli , Enze Chen , Tobias Brink , Timofey Frolov , Christian H. Liebscher

The plastic events occurring during the process of intergranular fracture in metals is still not well understood due to the complexity of grain boundary (GB) structures and their interactions with crack-tip dislocation plasticity. By…

Materials Science · Physics 2024-10-29 Kai Zhao , Yu Ding , Haiyang Yu , Jianying He , Zhiliang Zhang

The Immersed Boundary Method (IBM) is one of the popular one-fluid mixed Eulerian-Lagrangian methods to simulate motion of droplets. While the treatment of a moving complex boundary is an extremely time consuming and formidable task in a…

Computational Physics · Physics 2018-07-30 Chia Rui Ong , Hiroaki Miura

The initiation of intergranular corrosion at various types of grain boundaries (GBs) was studied at the nanometer scale on microcrystalline copper in 1 mM HCl aqueous solution. In situ Electrochemical Scanning Tunneling Microscopy (ECSTM)…

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