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States of self stress, organizations of internal forces in many-body systems that are in equilibrium with an absence of external forces, can be thought of as the constitutive building blocks of the elastic response of a material. In…

软凝聚态物质 · 物理学 2016-01-15 Daniel M. Sussman , Carl P. Goodrich , Andrea J. Liu

Topological states can be used to control the mechanical properties of a material along an edge or around a localized defect. The surface rigidity of elastic networks is characterized by a bulk topological invariant called the polarization;…

软凝聚态物质 · 物理学 2018-03-02 Guido Baardink , Anton Souslov , Jayson Paulose , Vincenzo Vitelli

Mechanical metamaterials are artificial structures with unusual properties, such as negative Poisson ratio, bistability or tunable vibrational properties, that originate in the geometry of their unit cell. At the heart of such unusual…

软凝聚态物质 · 物理学 2015-04-27 Jayson Paulose , Bryan Gin-ge Chen , Vincenzo Vitelli

Architectural transformations play a key role in the evolution of complex systems, from design algorithms for metamaterials to flow and plasticity of disordered media. Here, we develop a general framework for the evolution of the linear…

软凝聚态物质 · 物理学 2020-02-20 Anne S. Meeussen , Erdal C. Oguz , Martin van Hecke , Yair Shokef

Mechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials. A new class of metamaterials is proposed, whose…

应用物理 · 物理学 2022-07-22 Marius Wagner , Fabian Schwarz , Nick Huber , Lena Geistlich , Henning Galinski , Ralph Spolenak

Topological mechanical metamaterials have demonstrated exotic and robust mechanical properties which led to promising engineering applications. One of such properties is the focusing of stress at the interface connecting domains of…

软凝聚态物质 · 物理学 2023-12-01 Harry Liu , Siddhartha Sarkar , A. Nafis Arafat , Ethan Stanifer , Stefano Gonella , Xiaoming Mao

Multi-stable mechanical structures find cutting-edge applications across various domains due to their reconfigurability, which offers innovative possibilities for engineering and technology advancements. This study explores the emergence of…

应用物理 · 物理学 2024-02-13 Zhen Wang , Feiyang Sun , Xiaodong Xu , Xin Li , Chuanqing Chen , Minghui Lu

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

介观与纳米尺度物理 · 物理学 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

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

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

Recent years have seen the discovery of systems featuring fragile topological states. These states of matter lack certain protection attributes typically associated with topology and are therefore characterized by weaker signatures that…

材料科学 · 物理学 2025-01-30 Pegah Azizi , Siddhartha Sarkar , Kai Sun , Stefano Gonella

A structural element is designed and investigated, forming the basis for the development of an elastic multistable metamaterial. The leitmotif of the structural design is the implementation of a strut characterized by a bifurcation…

经典物理 · 物理学 2022-07-19 Nikolin Hima , Davide Bigoni , Francesco Dal Corso

Three important driving forces for creating qualitatively new phases in quantum materials are the topology of the materials' electronic band structures, frustration in the electrons' motion or magnetic interactions, and strong correlations…

Advances in the field of topological mechanics have highlighted a number of special mechanical properties of Maxwell lattices, including the ability to focus zero-energy floppy modes and states of self-stress (SSS) at their edges and…

材料科学 · 物理学 2022-09-30 Caleb Widstrand , Chen Hu , Xiaoming Mao , Joseph Labuz , Stefano Gonella

Variable stiffness is a key capability in biological and robotic systems, enabling adaptive interaction across tasks and environments. Mechanical metamaterials offer an alternative to conventional mechatronic solutions by encoding stiffness…

软凝聚态物质 · 物理学 2026-05-06 Hugo de Souza Oliveira , Michele Curatolo , Renate Sachse , Edoardo Milana

We present fracturing analysis of topological Maxwell lattices when they are stretched by applied stress. Maxwell lattices are mechanical structures containing equal numbers of degrees of freedom and constraints in the bulk and are thus on…

软凝聚态物质 · 物理学 2018-08-07 Leyou Zhang , Xiaoming Mao

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

计算工程、金融与科学 · 计算机科学 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

Flexible mechanical metamaterials possess repeating structural motifs that imbue them with novel, exciting properties including programmability, anomalous elastic moduli and nonlinear and robust response. We address such structures via…

软凝聚态物质 · 物理学 2020-03-11 Adrien Saremi , Zeb Rocklin

Maxwell lattice metamaterials possess a rich phase space with distinct topological states featuring mechanically polarized edge behaviors and strongly asymmetric acoustic responses. Until now, demonstrations of non-trivial topological…

Topological metamaterials have invaded the mechanical world, demonstrating acoustic cloaking and waveguiding at finite frequencies and variable, tunable elastic response at zero frequency. Zero frequency topological states have previously…

软凝聚态物质 · 物理学 2018-12-05 Adrien Saremi , D. Zeb Rocklin
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