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We propose an algorithm for the computational homogenization of locally periodic hyperelastic structures undergoing large deformations due to external quasi-static loading. The algorithm performs clustering of macroscopic deformations into…

Numerical Analysis · Mathematics 2026-02-26 Vladimír Lukeš , Eduard Rohan

Integrated Computational Materials Engineering (ICME) aims to accelerate optimal design of complex material systems by integrating material science and design automation. For tractable ICME, it is required that (1) a structural feature…

Materials Science · Physics 2017-05-01 Ruijin Cang , Yaopengxiao Xu , Shaohua Chen , Yongming Liu , Yang Jiao , Max Yi Ren

This paper presents a new adaptive multiscale homogenization scheme for the simulation of damage and fracture in concrete structures. A two-scale homogenization method, coupling meso-scale discrete particle models to macro- scale finite…

Computational Engineering, Finance, and Science · Computer Science 2017-02-03 Roozbeh Rezakhani , Xinwei Zhou , Gianluca Cusatis

Modification of physical properties of materials and design of materials with on-demand characteristics is at the heart of modern technology. Rare application relies on pure materials--most devices and technologies require careful design of…

Point defects govern many important functional properties of two-dimensional (2D) materials. However, resolving the three-dimensional (3D) arrangement of these defects in multi-layer 2D materials remains a fundamental challenge, hindering…

To leverage advancements in machine learning for metallic materials design and property prediction, it is crucial to develop a data-reduced representation of metal microstructures that surpasses the limitations of current physics-based…

Computed tomography (CT) is a widely used non-invasive diagnostic method in various fields, and recent advances in deep learning have led to significant progress in CT image reconstruction. However, the lack of large-scale, open-access…

Image and Video Processing · Electrical Eng. & Systems 2024-12-12 Maximilian B. Kiss , Ander Biguri , Zakhar Shumaylov , Ferdia Sherry , K. Joost Batenburg , Carola-Bibiane Schönlieb , Felix Lucka

The ability to image materials at the microscale from long-wavelength wave data is a major challenge to the geophysical, engineering and medical fields. Here, we present a framework to constrain microstructure geometry and properties from…

Geophysics · Physics 2021-04-19 Wouter Klessens , Ivan Vasconcelos , Yang Jiao

Recent advances in scanning transmission electron and scanning tunneling microscopies allow researchers to measure materials structural and electronic properties, such as atomic displacements and charge density modulations, at an Angstrom…

We consider the approximate recovery of multivariate periodic functions from a discrete set of function values taken on a rank-$s$ integration lattice. The main result is the fact that any (non-)linear reconstruction algorithm taking…

Numerical Analysis · Mathematics 2016-08-02 Glenn Byrenheid , Lutz Kämmerer , Tino Ullrich , Toni Volkmer

Two-dimensional materials are a class of atomically thin materials with assorted electronic and quantum properties. Accurate identification of layer thickness, especially for a single monolayer, is crucial for their characterization. This…

Materials Science · Physics 2024-06-25 Polina A. Leger , Aditya Ramesh , Talianna Ulloa , Yingying Wu

Interest in components with detailed structures increased with the progress in advanced manufacturing techniques in recent years. Parts with graded lattice elements can provide interesting mechanical, thermal, and acoustic properties…

Computational Engineering, Finance, and Science · Computer Science 2023-06-29 Daniel Hübner , Fabian Wein , Michael Stingl

The paper extends and enhances in several ways the recently proposed homogenization theory of metamaterials [J. Opt. Soc. Am. B 28, 577 (2011)]. The theory is based on a direct analysis of fields in the lattice cells rather than on an…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 Igor Tsukerman

Different from existing federated fine-tuning (FFT) methods for foundation models, hybrid heterogeneous federated fine-tuning (HHFFT) is an under-explored scenario where clients exhibit double heterogeneity in model architectures and…

Machine Learning · Computer Science 2025-08-01 Wei Guo , Siyuan Lu , Yiqi Tong , Zhaojun Hu , Fuzhen Zhuang , Xiao Zhang , Tao Fan , Jin Dong

The detection and classification of exfoliated two-dimensional (2D) material flakes from optical microscope images can be automated using computer vision algorithms. This has the potential to increase the accuracy and objectivity of…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Jan-Lucas Uslu , Alexey Nekrasov , Alexander Hermans , Bernd Beschoten , Bastian Leibe , Lutz Waldecker , Christoph Stampfer

We introduce a lattice model of protein conformations which is able to reproduce second structures of proteins (alpha--helices and beta--sheets). This model is based on the following two main ideas. First, we model backbone parts of amino…

Soft Condensed Matter · Physics 2012-08-01 S. Albeverio , S. V. Kozyrev

Image restoration involves recovering high-quality images from their corrupted versions, requiring a nuanced balance between spatial details and contextual information. While certain methods address this balance, they predominantly…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Hu Gao , Depeng Dang

The emergence of scanning probe and electron beam imaging techniques have allowed quantitative studies of atomic structure and minute details of electronic and vibrational structure on the level of individual atomic units. These microscopic…

Statistical Mechanics · Physics 2020-01-22 Sai Mani Prudhvi Valleti , Lukas Vlcek , Maxim Ziatdinov , Rama K. Vasudevan , Sergei V. Kalinin

The hyperuniformity concept provides a unified means to classify all perfect crystals, perfect quasicrystals, and exotic amorphous states of matter according to their capacity to suppress large-scale density fluctuations. While the…

Statistical Mechanics · Physics 2021-01-27 Jaeuk Kim , Salvatore Torquato

Fabrication of custom-built heterostructures based on stacked 2D materials provides an effective method to controllably tune electronic and optical properties. To that end, optimizing fabrication techniques for building these…

Materials Science · Physics 2020-10-16 Adina Luican-Mayer , Justin Boddison-Chouinard , Samantha Scarfe , K. Watanabe , T Taniguchi