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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…

计算工程、金融与科学 · 计算机科学 2025-04-25 Tom Goertzen , Domen Macek , Lukas Schnelle , Meike Weiß , Stefanie Reese , Hagen Holthusen , Alice C. Niemeyer

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…

计算工程、金融与科学 · 计算机科学 2026-04-02 Domen Macek , Meike Weiß , Reymond Akpanya , Tim Brepols , Hagen Holthusen , Alice C. Niemeyer

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…

数值分析 · 数学 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…

数值分析 · 数学 2023-05-24 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…

数值分析 · 数学 2022-09-09 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

Irregular conformal block is an important tool to study a new type of conformal theories, which can be constructed as the colliding limit of the regular conformal block. The irregular conformal block is realized as the $\beta$-deformed…

高能物理 - 理论 · 物理学 2015-06-18 Sang-Kwan Choi , Chaiho Rim

A topological interlocking assembly consists of rigid blocks together with a fixed frame, such that any subset of blocks is kinematically constrained and therefore cannot be removed from the assembly. In this paper we pursue a modular…

组合数学 · 数学 2024-05-06 Reymond Akpanya , Tom Goertzen , Alice C. Niemeyer

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…

材料科学 · 物理学 2020-11-16 Andrew Williams , Thomas Siegmund

Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These…

计算工程、金融与科学 · 计算机科学 2021-06-10 Bilen Emek Abali , Emilio Barchiesi

We propose a topological order parameter for interacting topological insulators, expressed in terms of the full Green's functions of the interacting system. We show that it is exactly quantized for a time reversal invariant topological…

强关联电子 · 物理学 2018-10-24 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

Mechanical product engineering often must comply with manufacturing or geometric constraints related to the shaping process. Mechanical design hence should rely on robust and fast tools to explore complex shapes, typically for design for…

计算工程、金融与科学 · 计算机科学 2020-10-23 Waad Almasri , Dimitri Bettebghor , Fakhreddine Ababsa , Florence Danglade

Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions. Thereby, the specific material law has a strong impact on the final design.…

计算工程、金融与科学 · 计算机科学 2024-04-29 Miriam Kick , Philipp Junker

Mixture experiments often involve process variables, such as different chemical reactors in a laboratory or varying mixing speeds in a production line. Organizing the runs in orthogonal blocks allows the mixture model to be fitted…

统计方法学 · 统计学 2024-10-31 Taha Hasan , Touqeer Ahmad

In topology optimization of compliant mechanisms, the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads…

计算工程、金融与科学 · 计算机科学 2025-02-05 Lee R. Alacoque , Anurag Bhattacharyya , Kai A. James

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…

群论 · 数学 2026-04-27 Meike Weiß , Alice C. Niemeyer

Robots' behavior and performance are determined both by hardware and software. The design process of robotic systems is a complex journey that involves multiple phases. Throughout this process, the aim is to tackle various criteria…

机器人学 · 计算机科学 2024-10-11 Kirill Zharkov , Mikhail Chaikovskii , Yefim Osipov , Rahaf Alshaowa , Ivan Borisov , Sergey Kolyubin

Controlling the topology of structures self-assembled from a set of heterogeneous building blocks is highly desirable for many applications, but is poorly understood theoretically. Here we show that the thermodynamic theory of self-assembly…

软凝聚态物质 · 物理学 2021-03-04 Andrei A. Klishin , Michael P. Brenner

This paper introduces a new shape-matching methodology, combinative matching, to combine interlocking parts for geometric shape assembly. Previous methods for geometric assembly typically rely on aligning parts by finding identical surfaces…

计算机视觉与模式识别 · 计算机科学 2025-11-04 Nahyuk Lee , Juhong Min , Junhong Lee , Chunghyun Park , Minsu Cho

Here we show the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks, for the topological universality class of the…

强关联电子 · 物理学 2012-05-11 Roman Orus , Tzu-Chieh Wei

Compared with traditional design methods, generative design significantly attracts engineers in various disciplines. In thiswork, howto achieve the real-time generative design of optimized structures with various diversities and…

计算工程、金融与科学 · 计算机科学 2024-01-23 Zongliang Du , Xinyu Ma , Wenyu Hao , Yuan Liang , Xiaoyu Zhang , Hongzhi Luo , Xu Guo
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