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Topology diagrams are widely seen in power system applications, but their automatic generation is often easier said than done. When facing power transmission systems with strongly-meshed structures, existing approaches can hardly produce…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Jingyu Wang , Jinfu Chen , Dongyuan Shi , Xianzhong Duan

This work presents a computational method for the design of architected truss lattice materials where each strut can be made of one of a set of available materials. We design the lattices to extremize effective properties. As customary in…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Hesaneh Kazemi , Ashkan Vaziri , Julian A. Norato

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

In additive manufacturing, infill structures are commonly used to reduce the weight and cost of a solid part. Currently, most infill structure generation methods are based on the conventional 2.5-axis printing configuration, which, although…

Graphics · Computer Science 2020-07-02 Yamin Li , Kai Tang , Dong He , Xiangyu Wang

Lattice relaxation profoundly reshapes electronic structures in twisted materials. Prevailing treatments, however, typically rely on large-scale density functional theory (DFT), which is computationally costly and mechanistically opaque.…

Materials Science · Physics 2025-09-17 Junxi Yu , Bingbing Wang , Cheng-Cheng Liu

We investigate how the spectral and topological properties of electron systems evolve on a lattice that interpolates between the honeycomb and its 1/6-depleted structures through the introduction of selective random defects. We find that in…

Disordered Systems and Neural Networks · Physics 2026-04-14 Sogen Ikegami , Kiyu Fukui , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

This work studies the constitutive response of two- and three-dimensional lattice materials subject to isotropic prestress. The unit cell of the examined lattices is formed by an arbitrary number of junctions attached to a junction.…

Classical Physics · Physics 2019-12-30 Ada Amendola , Fernando Fraternali

We introduce a novel model, comprising self-avoiding surfaces and incorporating edges and tubules, that is designed to characterize the structural morphologies and transitions observed within the endoplasmic reticulum (ER). By employing…

Soft Condensed Matter · Physics 2024-04-09 Jaya Kumar Alageshan , Yashodhan Hatwalne , Rahul Pandit

We introduce a variational manifold of simple tensor network states for the study of a family of constrained models that describe spin-1/2 systems as realized by Rydberg atom arrays. Our manifold permits analytical calculation via…

Quantum Physics · Physics 2024-05-13 Joey Li , Giuliano Giudici , Hannes Pichler

We introduce a new type of boundary conditions, {\it smooth boundary conditions}, for numerical studies of quantum lattice systems. In a number of circumstances, these boundary conditions have substantially smaller finite-size effects than…

Condensed Matter · Physics 2009-10-22 M. Vekic , S. R. White

We present a new framework for the simultaneous optimiziation of both the topology as well as the relative density grading of cellular structures and materials, also known as lattices. Due to manufacturing constraints, the optimization…

Computational Engineering, Finance, and Science · Computer Science 2025-05-27 Jonathan Stollberg , Tarun Gangwar , Oliver Weeger , Dominik Schillinger

We investigate the large deformation and extreme load-management capabilities of a soft topologically polarized kagome lattice mapped to a cylindrical domain through the problem of a lattice wheel rolling on an irregular surface. We test…

Materials Science · Physics 2020-12-24 William Zunker , Stefano Gonella

The optimal use of resources has motivated the engineering community to employ controlled distribution of material within their structural designs, often relying on cellular and lattice porous structures. In this research work, a…

Materials Science · Physics 2022-07-15 A. E Gomez-Ovalle

In this article we introduce theory and algorithms for learning discrete representations that take on a lattice that is embedded in an Euclidean space. Lattice representations possess an interesting combination of properties: a) they can be…

Machine Learning · Computer Science 2020-06-25 Luis A. Lastras

This paper considers the stress-induced phase transitions of shape memory alloy slender cylinder, and analytically studies the phase transition process and the associated instability. A three-dimensional (3D) phenomenological model with an…

Soft Condensed Matter · Physics 2019-06-03 Zilong Song

Living soft tissues appear to promote the development and maintenance of a preferred mechanical state within a defined tolerance around a so-called set-point. This phenomenon is often referred to as mechanical homeostasis. In contradiction…

Computational Engineering, Finance, and Science · Computer Science 2021-09-23 Jonas F. Eichinger , Maximilian J. Grill , Iman Davoodi Kermani , Roland C. Aydin , Wolfgang A. Wall , Jay D. Humphrey , Christian J. Cyron

We investigate the computational hardness of spin-glass instances on a square lattice, generated via a recently introduced tunable and scalable approach for planting solutions. The method relies on partitioning the problem graph into…

Disordered Systems and Neural Networks · Physics 2020-03-02 Dilina Perera , Firas Hamze , Jack Raymond , Martin Weigel , Helmut G. Katzgraber

The uncertainties in material and other properties of structures are usually spatially correlated. We introduce an efficient technique for representing and processing spatially correlated random fields in robust topology optimisation of…

Numerical Analysis · Mathematics 2023-12-27 Ismael Ben-Yelun , Ahmet Oguzhan Yuksel , Fehmi Cirak

Direct numerical simulations are conducted to study the receptivity and transition mechanisms in a solitary wave boundary layer developing over randomly organized wave-like bottom topography. The boundary layer flow shows a selective…

Fluid Dynamics · Physics 2021-02-24 Asim Önder , Philip L. -F. Liu

Aligning lattices based on local stress distribution is crucial for achieving exceptional structural stiffness. However, this aspect has primarily been investigated under a single load condition, where stress in 2D can be described by two…

Computational Engineering, Finance, and Science · Computer Science 2025-01-20 Junpeng Wang , Rüdiger Westermann , Xifeng Gao , Jun Wu