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This paper focuses on an elastic dislocation problem that is motivated by applications in the geophysical and seismological communities. In our model, the displacement satisfies the Lam\'e system in a bounded domain with a mixed homogeneous…

Analysis of PDEs · Mathematics 2025-07-15 Huaian Diao , Hongyu Liu , Qingle Meng

We study the inverse conductivity problem of how to reconstruct an isotropic electrical conductivity distribution $\gamma$ in an object from static electrical measurements on the boundary of the object. We give an exact reconstruction…

Functional Analysis · Mathematics 2007-05-23 Kim Knudsen , Alexandru Tamasan

We show that experiments clearly verify the assumptions made by the first-order two-wave coupling theory for one dimensional lossless unslanted planar volume holographic gratings using the beta-value method rather than Kogelnik's K-vector…

Optics · Physics 2014-02-28 Martin Fally , Juergen Klepp , Yasuo Tomita

The ripplocation is a crystallographic defect which is unique to layered materials, combining nanoscale delamination with the crystallographic slip of a basal dislocation. Here, we have studied basal dislocations and ripplocations, in…

Materials Science · Physics 2021-06-02 James G. McHugh , Pavlos Mouratidis , Kenny Jolley

Quantitative Transmission Electron Microscopy (TEM) during in-situ straining experiment is able to reveal the motion of dislocations -- linear defects in the crystal lattice of metals. In the domain of materials science, the knowledge about…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Karina Ruzaeva , Kishan Govind , Marc Legros , Stefan Sandfeld

The existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations. This study employs differential geometry and calculus of…

Materials Science · Physics 2024-01-10 Shunsuke Kobayashi , Ryuichi Tarumi

The large epitaxial stress induced by the misfit between a triple atomic layer Fe film and an Ir(111) substrate is relieved by the formation of a dense dislocation line network. Spin-polarized scanning tunneling microscopy (SP-STM)…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Aurore Finco , Pin-Jui Hsu , André Kubetzka , Kirsten von Bergmann , Roland Wiesendanger

We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along which slip occurs. We prove well-posedness of the resulting…

Analysis of PDEs · Mathematics 2025-02-07 Andrea Aspri , Elena Beretta , Anna L. Mazzucato

Defects in semiconductors have recently attracted renewed interest owing to their potential in novel quantum applications. Here we investigate the electronic and magnetic properties induced by 60{\deg} dislocations in Ge. Using large-scale…

Validating dislocation patterning models against in situ imaging experiments is a longstanding goal in materials physics. Here, we provide the first direct morphological comparison of such models. Using in situ Dark-Field X-ray Microscopy…

Emerging gallium nitride (GaN) vertical power devices require high-quality GaN crystals with reduced crystal defects, especially threading dislocations (TDs), to harness the high critical electric field and electron mobility of the…

Applied Physics · Physics 2025-11-10 Shun Takahashi , Yusuke Wakamoto , Kazuhiro Kuruma , Takuya Maeda , Yasuyuki Ozeki

Strain relief in lattice mismatched heteroepitaxy is mediated by formation and/or propagation of dislocations. Due to their technological significance, the process of strain relief in materials with face-centred cubic (fcc) lattices has…

Materials Science · Physics 2007-05-23 Atul Konkar

Deformation gradient tensor fields are reconstructed in three dimensions (mapping all 9 tensor components) using synthetic Dark-Field X-ray Microscopy data. Owing to the unique properties of the microscope, our results imply that the…

Materials Science · Physics 2025-09-09 Axel Henningsson , Sina Borgi , Grethe Winther , Anter El-Azab , Henning Friis Poulsen

We demonstrate the applicability of large-angle convergent-beam electron diffraction (LACBED) for Burgers vector determination in monoclinic $\beta$-Ga$_2$O$_3$. The inner product $g \cdot b$ in this non-orthogonal system can be evaluated…

Materials Science · Physics 2026-04-29 Yoshihiro Sugawara , Yongzhao Yao , Yukari Ishikawa

X-shaped Radio Galaxies (XRGs) develop when certain extra-galactic jets deviate from their propagation path. An asymmetric ambient medium (Back-flow model) or complex Active Galactic Nuclei activity (Jet-reorientation model) enforcing the…

Astrophysics of Galaxies · Physics 2023-08-01 Gourab Giri , Bhargav Vaidya , Christian Fendt

(BiFeO3)(1-x){\Lambda}/(LaFeO3)x{\Lambda} superlattices (SLs) with varying x have been grown by pulsed laser deposition on (111) oriented SrTiO3 substrates. In order to obtain good epitaxy and flat samples a conducting SrRuO3 buffer has…

Materials Science · Physics 2019-01-08 J. Belhadi , S. Yousfi , H. Bouyanfif , M. El Marssi

h-BN and Ga2O3 are two promising semiconductor materials. However, the band alignment of the Ga2O3/h-BN heterojunction has not been identified, hindering device development. In this study, the heterojunction was prepared by metalorganic…

We propose a new approach for reconstructing the 3D spatial distribution of small dislocation loops (DLs) from 2D TEM micrographs. This method is demonstrated for small DLs in tungsten, formed by low-dose ion-implantation, that appear as…

Materials Science · Physics 2018-04-04 Hongbing Yu , Xiaoou Yi , Felix Hofmann

We present a comprehensive investigation of reconstructions on $\beta$-Ga$_2$O$_3$(001) combining first-principles calculations with experimental observations. Using ab initio atomistic thermodynamics and replica-exchange grand-canonical…

The microstructural and morphological properties of homoepitaxial (001)ZnTe layers are investigated by x-ray diffuse scattering. High resolution reciprocal space maps recorded close to the ZnTe (004) Bragg peak show different diffuse…

Materials Science · Physics 2007-05-23 T. Di Luccio , G. Scalia , L. Tapfer , P. Morales , M. Traversa , P. Prete , N. Lovergine
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