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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 (TIS) are structural assemblies that achieve stability and carrying capacity through the geometric arrangement of interlocking blocks, relying solely on normal and friction forces for load transfer.…

Soft Condensed Matter · Physics 2023-07-04 Silvan Ullmann , David S. Kammer , Shai Feldfogel

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 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 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

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

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

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 this paper, we present an algorithmic approach to design and construct planar truss structures based on symmetric lattices using modular elements. The method of assembly is similar to Leonardo grids as they both rely on the property of…

Graphics · Computer Science 2021-06-22 Anantha Natarajan , Jiaqi Cui , Ergun Akleman , Vinayak Krishnamurthy

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

This paper studies the possibility of detecting and isolating topology failures (including link failures and node failures) of a networked system from subsystem measurements, in which subsystems are of fixed high-order linear dynamics, and…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Yuan Zhang , Yuanqing Xia , Jinhui Zhang , Jun Shang

This work presents a rigorous mathematical formulation for topology optimization of a macrostructure undergoing ductile failure. The prediction of ductile solid materials which exhibit dominant plastic deformation is an intriguingly…

Numerical Analysis · Mathematics 2023-03-22 Nima Noii , Hassan Ali Jahangiry , Haim Waisman

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

Topological crystalline insulators (TCIs) can exhibit unique, quantized electric phenomena such as fractional electric polarization and boundary-localized fractional charge. This quantized fractional charge is the generic observable for…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Christopher W. Peterson , Tianhe Li , Wentao Jiang , Taylor L. Hughes , Gaurav Bahl

We introduce a model of fracture which includes the out-of-plane degrees of freedom necessary to describe buckling in a thin-sheet material. The model is a regular square lattice of elastic beams, rigidly connected at the nodes so as to…

Soft Condensed Matter · Physics 2007-05-23 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

We propose a method to modify a polygonal mesh in order to fit the zero-isoline of a level set function by extending a standard body-fitted strategy to a tessellation with arbitrarily-shaped elements. The novel level set-fitted approach, in…

Computational Engineering, Finance, and Science · Computer Science 2023-11-03 Nicola Ferro , Stefano Micheletti , Nicola Parolini , Simona Perotto , Marco Verani , Paola Francesca Antonietti

Introducing, observing, and manipulating individual impurities coupled to a host material offers the opportunity to create new device concepts based on single spin and charge states. Because of potential applications in spintronics and…

Mesoscale and Nanoscale Physics · Physics 2016-09-29 Paolo Sessi , Thomas Bathon , Konstantin A. Kokh , Oleg E. Tereshchenko , Matthias Bode

The interface between topological and normal insulators hosts metallic states that appear due to the change in band topology. While these topological states at a surface, i.e., a topological insulator-air/vacuum interface, have been studied…

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