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Dislocations are the main carriers of the permanent deformation of crystals. For simulations of engineering applications, continuum models where material microstructures are represented by continuous density distributions of dislocations…

Materials Science · Physics 2018-03-02 Xiaohua Niu , Yichao Zhu , Shuyang Dai , Yang Xiang

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

Dislocations in ceramics have recently gained renewed research interest, in contrast to the traditional belief that ceramics are inherently brittle. Understanding dislocation mechanics in representative oxides is beneficial for effective…

In the last decade, decision diagrams (DDs) have been the basis for a large array of novel approaches for modeling and solving optimization problems. Many techniques now use DDs as a key tool to achieve state-of-the-art performance within…

Optimization and Control · Mathematics 2022-01-28 Margarita P. Castro , Andre A. Cire , J. Christopher Beck

Continuum models of dislocation plasticity require constitutive closure assumptions, e.g., by relating details of the dislocation microstructure to energy densities. Currently, there is no systematic way for deriving or extracting such…

Materials Science · Physics 2021-05-26 Hengxu Song , Nina Gunkelmann , Giacomo Po , Stefan Sandfeld

Dense suspensions of particles dispersed in liquids are central to industrial and geophysical processes and serve as model systems for out-of-equilibrium soft matter. At high particle concentrations, they exhibit stress-dependent rheology,…

Soft Condensed Matter · Physics 2026-03-16 Orhun Ayar , Bhargav Sriram Siddani , Ishan Srivastava , Abhinendra Singh

Within the framework of computational plasticity, recent advances show that the quasi-static response of an elasto-plastic structure under cyclic loadings may exhibit a time multiscale behaviour. In particular, the system response can be…

Computational Engineering, Finance, and Science · Computer Science 2023-08-25 Sebastian Rodriguez , Angelo Pasquale , Khanh Nguyen , Amine Ammar , Francisco Chinesta

Starting from a prototypical model of elasto-plasticity in the small-strain and quasi-static setting, where the evolution of the plastic distortion is driven exclusively by the motion of discrete dislocations, this work performs a rigorous…

Analysis of PDEs · Mathematics 2025-03-26 Paolo Bonicatto , Filip Rindler

The ability to separate and analyze chemical species with high resolution, sensitivity, and throughput is central to the development of microfluidics systems. Deterministic lateral displacement (DLD) is a continuous separation method based…

Fluid Dynamics · Physics 2014-04-15 Timothy J. Bowman , German Drazer , Joelle Frechette

The use of deep learning methods for solving PDEs is a field in full expansion. In particular, Physical Informed Neural Networks, that implement a sampling of the physical domain and use a loss function that penalizes the violation of the…

Machine Learning · Computer Science 2021-12-08 Valentin Mercier , Serge Gratton , Pierre Boudier

We introduce a computationally efficient method for the automation of inverse design in science and engineering. Based on simple least-square regression, the underlying dynamic mode decomposition algorithm can be used to construct a…

Machine Learning · Computer Science 2025-02-14 Yunpeng Zhu , Liangliang Cheng , Anping Jing , Hanyu Huo , Ziqiang Lang , Bo Zhang , J. Nathan Kutz

We present a data-driven method for separating complex, multiscale systems into their constituent time-scale components using a recursive implementation of dynamic mode decomposition (DMD). Local linear models are built from windowed…

Systems and Control · Computer Science 2019-06-26 Daniel Dylewsky , Molei Tao , J. Nathan Kutz

Consider the macroscale modelling of microscale spatiotemporal dynamics. Here we develop a new approach to ensure coarse scale discrete models preserve important self-adjoint properties of the fine scale dynamics. The first part explores…

Cellular Automata and Lattice Gases · Physics 2008-11-06 A. J. Roberts

In engineering crystal plasticity inelastic mechanisms correspond to tensorial zero-energy valleys in the space of macroscopic strains. The flat nature of such valleys is in contradiction with the fact that plastic slips, mimicking…

Pattern Formation and Solitons · Physics 2024-06-17 N. Perchikov , L. Truskinovsky

Continuum dislocation dynamics (CDD) aims at representing the evolution of systems of curved and connected dislocation lines in terms of density-like field variables. Here we discuss how the processes of dislocation multiplication and…

Mesoscale and Nanoscale Physics · Physics 2018-03-05 Mehran Monavari , Michael Zaiser

A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Mojtaba Barzegari , Liesbet Geris

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

Numerical Analysis · Mathematics 2021-07-28 Hannah Lu , Daniel M. Tartakovsky

Understanding the evolution of dislocation structures during plastic deformation is critical for predicting the mechanical performance of metallic materials. In this work, we applied in situ scanning electron microscopy/electron backscatter…

Materials Science · Physics 2026-03-24 Mikhail Lebyodkin , Maxim Gussev , Jamieson Brechtl , Tatiana Lebedkina

High performance materials, from natural bone over ancient damascene steel to modern superalloys, typically possess a complex structure at the microscale. Their properties exceed those of the individual components and their knowledge-based…

Materials Science · Physics 2019-03-25 Carl Kusche , Tom Reclik , Martina Freund , Talal Al-Samman , Ulrich Kerzel , Sandra Korte-Kerzel

Improving the automatic and timely recognition of construction and demolition waste composition is crucial for enhancing business returns, economic outcomes and sustainability. While deep learning models show promise in recognizing and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Adrian Langley , Matthew Lonergan , Tao Huang , Mostafa Rahimi Azghadi
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