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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

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

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.…

软凝聚态物质 · 物理学 2023-07-04 Silvan Ullmann , David S. Kammer , Shai Feldfogel

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…

软凝聚态物质 · 物理学 2022-10-26 Shai Feldfogel , Konstantinos Karapiperis , Jose Andrade , David S. Kammer

A topological interlocking assembly is an arrangement of blocks, where all blocks are kinematically constrained by their neighboring blocks and a fixed frame. This concept has been known for a long time, attracting recent interest due to…

材料科学 · 物理学 2025-12-04 Lukas Schnelle , Meike Weiß , Reymond Akpanya , Kai-Uwe Schröder , Alice C. Niemeyer

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…

软凝聚态物质 · 物理学 2022-12-23 Shai Feldfogel , Konstantinos Karapiperis , Jose Andrade , David S. Kammer

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 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

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…

计算工程、金融与科学 · 计算机科学 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

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…

计算工程、金融与科学 · 计算机科学 2020-02-19 Hayoung Chung , Oded Amir , H. Alicia Kim

With recent advances in both responsive materials and fabrication techniques it is now possible to construct integrated functional structures, composed of both structural and active materials. We investigate the robust design of such…

最优化与控制 · 数学 2021-07-20 Andrew Akerson , Blaise Bourdin , Kaushik Bhattacharya

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

斑图形成与孤子 · 物理学 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

The design of specified nonlinear mechanical responses into a structure or material is a highly sought after capability, which would have a significant impact in areas such as wave tailoring in metamaterials, impact mitigation, soft…

Natural materials often feature a combination of soft and stiff phases, arranged to achieve excellent mechanical properties, such as high strength and toughness. Many natural materials have even independently evolved to have similar…

软凝聚态物质 · 物理学 2025-07-03 Chelsea Fox , Kyrillos Bastawros , Tommaso Magrini , Chiara Daraio

Covering elastic substrates with stiff biomimetic scales significantly alters the bending behavior via scales engagement. This engagement is the dominant source of nonlinearity in small deflection regime. As deformation proceeds, an…

软凝聚态物质 · 物理学 2019-11-07 Hessein Ali , Hossein Ebrahimi , Ranajay Ghosh

This paper examines various ways of improving the impact resilience of protective structures. Such structures' purpose is to dissipate an impact's energy while avoiding cracking and failure. We have tested the reaction of plane…

计算物理 · 物理学 2025-02-26 Debdeep Bhattacharya , Tyler P. Evans , Andrej Cherkaev

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

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…

计算工程、金融与科学 · 计算机科学 2025-05-08 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

We demonstrate that the elasticity of jammed solids is nonlocal. By forcing frictionless soft sphere packings at varying wavelength, we directly access their transverse and longitudinal compliances without resorting to curve fitting. The…

统计力学 · 物理学 2017-03-08 Karsten Baumgarten , Daniel Vagberg , Brian P. Tighe
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