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In this paper we propose tools for high-order mesh optimization and demonstrate their benefits in the context of multi-material Arbitrary Lagrangian-Eulerian (ALE) compressible shock hydrodynamic applications. The mesh optimization process…

Numerical Analysis · Mathematics 2021-04-19 Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

A two-dimensional (2D) shock-rest-frame model for particle simulations is developed. Then full kinetic dynamics of a perpendicular collisionless shock is examined by means of a 2D full particle simulation. We found that in the 2D simulation…

Astrophysics · Physics 2009-11-13 Takayuki Umeda , Masahiro Yamao , Ryo Yamazaki

The Materials Project crystal structure database has been searched for materials possessing layered motifs in their crystal structures using a topology-scaling algorithm. The algorithm identifies and measures the sizes of bonded atomic…

Materials Science · Physics 2017-06-08 Michael Ashton , Joshua Paul , Susan B. Sinnott , Richard G. Hennig

Highly-deformable materials, from synthetic hydrogels to biological tissues, are becoming increasingly important from both fundamental and practical perspectives. Their mechanical behaviors, in particular the dynamics of crack propagation…

Materials Science · Physics 2015-06-09 Tamar Goldman Boué , Roi Harpaz , Jay Fineberg , Eran Bouchbinder

Finding new two-dimensional (2D) materials with novel quantum properties is highly desirable for technological innovations. In this work, we studied a series of metal-organic frameworks (MOFs) with different metal cores and discovered…

Materials Science · Physics 2020-11-17 Jie Li , Ruqian Wu

This paper considers the design of structures made of engineered materials, accounting for uncertainty in material properties. We present a topology optimization approach that optimizes the structural shape and topology at the macroscale…

Optimization and Control · Mathematics 2021-10-27 Subhayan De , Kurt Maute , Alireza Doostan

Aluminum alloys are increasingly utilized as lightweight materials in the automobile industry due to their superior capability in withstanding high mechanical loads. A significant challenge impeding the large-scale use of these alloys in…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Shiguang Deng , Carl Soderhjelm , Diran Apelian , Ramin Bostanabad

Metasurfaces advanced the field of optics by reducing the thickness of optical components and merging multiple functionalities into a single layer device. However, this generally comes with a reduction in performance, especially for…

This paper presents a density-based topology optimization approach considering additive manufacturing limitations. The presented method considers the minimum size of parts, the minimum size of cavities, the inability of printing overhanging…

Computational Engineering, Finance, and Science · Computer Science 2022-04-18 Prabhat Kumar , Eduardo Fernández

In this paper, we introduce a density-based topology optimization framework to design porous electrodes for maximum energy storage. We simulate the full cell with a model that incorporates electronic potential, ionic potential, and…

We present Design-by-Morphing (DbM), a novel design methodology applicable to creating a search space for topology optimization of 2D airfoils. Most design techniques impose geometric constraints and sometimes designers' bias on the design…

Geometric Topology · Mathematics 2025-10-20 Haris Moazam Sheikh , Sangjoon Lee , Jinge Wang , Philip S. Marcus

Active structures have the ability to change their shape, properties, and functionality as a response to changing operational conditions, which makes them more versatile than their static counterparts. However, most active structures…

Computational Engineering, Finance, and Science · Computer Science 2021-09-01 Thomas S. Lumpe , Michael Tao , Kristina Shea , David I. W. Levin

The Equation-Free approach to efficient multiscale numerical computation marries trusted micro-scale simulations to a framework for numerical macro-scale reduction -- the patch dynamics scheme. A recent novel patch scheme empowered the…

Dynamical Systems · Mathematics 2021-08-27 John Maclean , J. E. Bunder , I. G. Kevrekidis , A. J. Roberts

Real-world environments are inherently uncertain, and to operate safely in these environments robots must be able to plan around this uncertainty. In the context of motion planning, we desire systems that can maintain an acceptable level of…

Robotics · Computer Science 2020-03-18 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams

Porous electrodes are an integral part of many electrochemical devices since they have high porosity to maximize electrochemical transport and high surface area to maximize activity. Traditional porous electrode materials are typically…

Applied Physics · Physics 2022-05-23 Thomas Roy , Miguel A. Salazar de Troya , Marcus A. Worsley , Victor A. Beck

We study the shock structures in three-states one-dimensional driven-diffusive systems with nearest neighbors interactions using a matrix product formalism. We consider the cases in which the stationary probability distribution function of…

Statistical Mechanics · Physics 2009-11-11 F H Jafarpour , S R Masharian

This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Lukas C. Høghøj , Cian Conlan-Smith , Ole Sigmund , Casper Schousboe Andreasen

Harnessing the rich nonlinear dynamics of highly-deformable materials has the potential to unlock the next generation of functional smart materials and devices. However, unlocking such potential requires effective strategies to spatially…

Ceramic is a material frequently used in industry because of its favorable properties. Common approaches in shape optimization for ceramic structures aim to minimize the tensile stress acting on the component, as it is the main driver for…

Optimization and Control · Mathematics 2017-05-17 Matthias Bolten , Hanno Gottschalk , Camilla Hahn , Mohamed Saadi

We prove a stable shock formation result for a large class of systems of quasilinear wave equations in two spatial dimensions. We give a precise description of the dynamics all the way up to the singularity. Our main theorem applies to…

Analysis of PDEs · Mathematics 2018-04-19 Jared Speck