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Related papers: Mapping the full lattice strain tensor of a single…

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The Okada model is a widely used analytical solution for displacements and strains caused by a point or rectangular dislocation source in a 3D elastic half-space. We present OkadaTorch, a PyTorch implementation of the Okada model, where the…

Geophysics · Physics 2025-07-24 Masayoshi Someya , Taisuke Yamada , Tomohisa Okazaki

In this work, we first develop a general mesoscopic multiple-relaxation-time lattice Boltzmann (MRT-LB) model for the two-dimensional diffusion equation with the constant diffusion coefficient and source term, where the D2Q5 (five discrete…

Numerical Analysis · Mathematics 2023-08-11 Ying Chen , Zhenhua Chai , Baochang Shi

Electron Backscatter Diffraction (EBSD) is a technique to obtain microcrystallographic information from materials by collecting large-angle Kikuchi patterns in the scanning electron microscope (SEM). An important fundamental question…

Materials Science · Physics 2019-03-06 Aimo Winkelmann , T. Ben Britton , Gert Nolze

In this paper, a new two-relaxation-time regularized (TRT-R) lattice Boltzmann (LB) model for convection-diffusion equation (CDE) with variable coefficients is proposed. Within this framework, we first derive a TRT-R collision operator by…

Numerical Analysis · Mathematics 2023-12-19 Yuan Yu , Zuojian Qin , Haizhuan Yuan , Shi Shu

We present direct measurement of Kirkwood-Rihaczek (KR) distribution for spatial properties of coherent light beam in terms of position and momentum (angle) coordinates. We employ a two-local oscillator (LO) balanced heterodyne detection…

Quantum Physics · Physics 2015-05-14 Viktor Bollen , Yong Meng Sua , Kim Fook Lee

Development in lattice strain mapping using four-dimensional scanning transmission electron microscopy (4D-STEM) method now offers improved precision and feasibility. However, automatic and accurate diffraction analysis is still challenging…

Materials Science · Physics 2022-01-04 Sihan Wang , Tim Eldred , Jacob Smith , Wenpei Gao

We study the mechanisms of slip transfer at a grain boundary, in titanium, using Differential Aperture X-ray Laue Micro-diffraction (DAXM). This 3D characterization tool enables measurement of the full (9-component) Nye lattice curvature…

Materials Science · Physics 2020-12-08 Yi Guo , David M. Collins , Edmund Tarleton , Felix Hofmann , Angus J. Wilkinson , T. Ben Britton

The intricate fine structure of Kikuchi diffraction plays a vital role in probing phase transformations and strain distributions in functional materials, particularly in electron microscopy. Beyond these applications, it also proves…

A monolithic active pixel sensor based direct detector that is optimized for the primary beam energies in scanning electron microscopes is implemented for electron back-scattered diffraction (EBSD) applications. The high detection…

Low rank tensor representation (LRTR) methods are very useful for hyperspectral anomaly detection (HAD). To overcome the limitations that they often overlook spectral anomaly and rely on large-scale matrix singular value decomposition, we…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Quan Yu , Yu-Hong Dai , Minru Bai

The phase-field crystal model in its amplitude equation approximation is shown to provide an accurate description of the deformation field in defected crystalline structures, as well as of dislocation motion. We analyze in detail the…

Materials Science · Physics 2020-01-01 Marco Salvalaglio , Luiza Angheluta , Zhi-Feng Huang , Axel Voigt , Ken R. Elder , Jorge Viñals

This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear elasticity on general polyhedral meshes, based on a strong symmetric stress formulation. The key feature of this new HDG method is the use of a special…

Numerical Analysis · Mathematics 2016-02-24 Weifeng Qiu , Jiguang Shen , Ke Shi

We report a first exploration of High-angular-Resolution Electron Backscatter Diffraction, without using simulated Electron Backscatter Diffraction patterns as a reference, for absolute stress and orientation measurements in polycrystalline…

Materials Science · Physics 2018-11-26 Tijmen Vermeij , Marc De Graef , Johan Hoefnagels

This work revisits coupled tensor decomposition (CTD)-based hyperspectral super-resolution (HSR). HSR aims at fusing a pair of hyperspectral and multispectral images to recover a super-resolution image (SRI). The vast majority of the HSR…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Meng Ding , Xiao Fu , Ting-Zhu Huang , Jun Wang , Xi-Le Zhao

Bulk dislocation lattice defects are instrumental in identifying translationally active topological insulators (TATIs), featuring band inversion at a finite momentum (${\bf K}_{\rm inv}$). As such, TATIs host robust gapless modes around the…

Mesoscale and Nanoscale Physics · Physics 2023-11-03 Sanjib Kumar Das , Bitan Roy

Two-dimensional (2D) materials exhibit a wide range of remarkable phenomena, many of which owe their existence to the relativistic spin-orbit coupling (SOC) effects. To understand and predict properties of materials containing heavy…

We demonstrate a nondestructive, high-throughput method for observing dislocations in GaN (0001) using phase-contrast microscopy (PCM). The PCM images (359x300 $\mu$m$^2$) analyzed in this study were acquired with an exposure time of 3 ms…

Materials Science · Physics 2026-04-27 Yukari Ishiakwa , Ryo Hattori , Yongzhao Yao , Daiki Katsube , Koji Sato

For high (angular) resolution electron backscatter diffraction (HR-EBSD), the selection of a reference diffraction pattern (EBSP0) significantly affects the precision of the calculated strain and rotation maps. This effect was demonstrated…

Materials Science · Physics 2023-02-21 Abdalrhaman Koko , Vivian Tong , Angus J. Wilkinson , T. James Marrow

The reduced dimensionality in two-dimensional materials leads a wealth of unusual properties, which are currently explored for both fundamental and applied sciences. In order to study the crystal structure, edge states, the formation of…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Felix Kern , Martin Linck , Daniel Wolf , Nasim Alem , Himani Arora , Sibylle Gemming , Artur Erbe , Alex Zettl , Bernd Büchner , Axel Lubk

Computed tomography is a widely used imaging modality with applications ranging from medical imaging to material analysis. One major challenge arises from the lack of scanning information at certain angles, resulting in distortion or…