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Topological Interlocking Structures (TIS) are assemblies of interlocking building blocks that hold together solely through contact and friction at the blocks' interfaces, and thus do not require any connective elements. This salient feature…

Soft Condensed Matter · Physics 2022-10-26 Shai Feldfogel , Konstantinos Karapiperis , Jose Andrade , David S. Kammer

Topological Interlocking Structures (TIS) have been increasingly studied in the past two decades. However, some fundamental questions concerning the effects of Young's modulus and the friction coefficient on the structural mechanics of the…

Soft Condensed Matter · Physics 2022-12-23 Shai Feldfogel , Konstantinos Karapiperis , Jose Andrade , David S. Kammer

Topologically interlocked structures are assemblies of interlocking blocks that hold together solely through contact. Such structures have been shown to exhibit high strength, energy dissipation, and crack arrest properties. Recent studies…

Numerical Analysis · Mathematics 2023-10-02 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

Topologically interlocked structures are architectured by fitting together blocks that are constrained geometrically through contact and friction by their neighboring blocks. As long as the frictional strength is nowhere exceeded, the…

Numerical Analysis · Mathematics 2022-09-09 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

Topologically interlocked materials and structures, which are assemblies of unbonded interlocking building blocks, are promising concepts for versatile structural applications. They have been shown to exhibit exceptional mechanical…

Numerical Analysis · Mathematics 2023-05-24 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

Topologically interlocked material systems are two-dimensional assemblies of unit elements from which no element can be removed from the assembly without disassembly of the entire system. Consequently, such tile assemblies are able to carry…

Materials Science · Physics 2020-11-16 Andrew Williams , Thomas Siegmund

Topological Interlocking assemblies are arrangements of blocks kinematically constrained by a fixed frame, such that all rigid body motions of each block are constrained only by its permanent contact with other blocks and the frame. In the…

Computational Engineering, Finance, and Science · Computer Science 2025-04-25 Tom Goertzen , Domen Macek , Lukas Schnelle , Meike Weiß , Stefanie Reese , Hagen Holthusen , Alice C. Niemeyer

Introducing uniform magnetic order in two-dimensional topological insulators (2D TIs) by constructing heterostructures of TI and magnet is a promising way to realize the high-temperature Quantum Anomalous Hall effect. However, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-22 Qun Niu , Jie Yao , Quanchao Song , Humaira Akber , Qin Zhou , Xiaofang Zhai , Aidi Zhao

Plasticity is inherent to many engineering materials such as metals. While it can degrade the load-carrying capacity of structures via material yielding, it can also protect structures through plastic energy dissipation. To fully harness…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Yingqi Jia , Xiaojia Shelly Zhang

This study presents an extension of multiscale topology optimization by integrating both yield stress and local/global buckling considerations into the design process. Building upon established multiscale methodologies, we develop a new…

Computational Engineering, Finance, and Science · Computer Science 2025-05-08 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

Topological interlocking assemblies (TIA) are arrangements of blocks such that rigid-body motions of the blocks are fully constrained by their neighbours and a fixed frame. In this work, we investigate tubular interlocking structures…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Domen Macek , Meike Weiß , Reymond Akpanya , Tim Brepols , Hagen Holthusen , Alice C. Niemeyer

In integrating topological insulators (TIs) with conventional materials, one crucial issue is how the topological surface states (TSS) will behave in such heterostructures. We use first-principles approaches to establish accurate tunability…

Materials Science · Physics 2013-01-23 Guangfen Wu , Hua Chen , Yan Sun , Xiaoguang Li , Ping Cui , Cesare Franchini , Jinlan Wang , Xing-Qiu Chen , Zhenyu Zhang

At elevated temperature environments, elastic structures experience a change of the stress-free state of the body that can strongly influence the optimal topology of the structure. This work presents level-set based topology optimization of…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Hayoung Chung , Oded Amir , H. Alicia Kim

Understanding how stick-slip dynamics manifests in diverse physical conditions is a crucial topic in tribology. Although it has been extensively studied in simple frictional configurations, the characterization of stick-slip behavior in…

Soft Condensed Matter · Physics 2026-02-17 A. Plati , F. Restagno , C. Poulard

Fluid-structure interactions are a widespread phenomenon in nature. Although their numerical modeling have come a long way, the application of numerical design tools to these multiphysics problems is still lagging behind. Gradient-based…

Numerical Analysis · Mathematics 2021-09-27 Mohamed Abdelhamid , Aleksander Czekanski

Inflatable structures used in soft robotics applications exhibit unique characteristics. In particular, the tip-extension structure, which grows from the tip, can grow without friction against the environment. However, these inflatable…

Topological insulators (TIs) are bulk insulators that possess robust helical conducting states along their interfaces with conventional insulators. A tremendous research effort has recently been devoted to TI-based heterostructures, in…

Materials Science · Physics 2014-01-17 Xiaoguang Li , Gufeng Zhang , Guangfen Wu , Hua Chen , Dimitrie Culcer , Zhenyu Zhang

Deforming fundamental domains of wallpaper groups provides a systematic way to generate non-convex blocks which admit topological interlocking assemblies (TIAs). We use this approach to construct TIAs that fully occupy the space between two…

Group Theory · Mathematics 2026-04-27 Meike Weiß , Alice C. Niemeyer

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

The success of topological insulators (TI) in creating devices with unique functionalities is directly connected to the ability of coupling their helical spin states to well defined perturbations. However, up to now, TI-based…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 Thomas Bathon , Paolo Sessi , Konstantin Kokh , Oleg Tereshchenko , Matthias Bode
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