Switching periodic membranes via pattern transformation and shape memory effect

Li, Jie; Shim, Jongmin; Deng, Justin; Overvelde, Johannes T. B.; Zhu, Xingyi; Bertoldi, Katia; Yang, Shu

doi:10.1039/c2sm25816a

Cited by 102 publications

(77 citation statements)

References 27 publications

(48 reference statements)

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“…Beyond the instability threshold, rapid and dramatic changes of the structural geometry occur, and a careful design of the initial architecture may lead to the formation of new and homogeneous periodic patterns [159][160][161][162]. Interestingly, it has been recently shown that such dramatic geometric rearrangements induced by instabilities can be exploited to rapidly tune the macroscopic response and functionalities of the structures [22,34,[163][164][165][166][167][168][169][170][171][172][173][174].…”

Section: Instability-driven Pattern Formationmentioning

confidence: 99%

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Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Kochmann

Bertoldi

2017

Applied Mechanics Reviews

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189

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Instabilities in solids and structures are ubiquitous across all length and time scales, and engineering design principles have commonly aimed at preventing instability. However, over the past two decades, engineering mechanics has undergone a paradigm shift, away from avoiding instability and toward taking advantage thereof. At the core of all instabilities-both at the microstructural scale in materials and at the macroscopic, structural level-lies a nonconvex potential energy landscape which is responsible, e.g., for phase transitions and domain switching, localization, pattern formation, or structural buckling and snapping. Deliberately driving a system close to, into, and beyond the unstable regime has been exploited to create new materials systems with superior, interesting, or extreme physical properties. Here, we review the state-of-the-art in utilizing mechanical instabilities in solids and structures at the microstructural level in order to control macroscopic (meta)material performance. After a brief theoretical review, we discuss examples of utilizing material instabilities (from phase transitions and ferroelectric switching to extreme composites) as well as examples of exploiting structural instabilities in acoustic and mechanical metamaterials.

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Section: Instability-driven Pattern Formationmentioning

confidence: 99%

“…11(b)) and robots [170] (see Fig. 13(b)), materials with tunable optical properties [171,172] (see Fig. 13(c)), and as described later, metamaterials with tunable dynamic response [34,173,174].…”

Section: -10 / Vol 69 September 2017mentioning

confidence: 99%

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Kochmann

Bertoldi

2017

Applied Mechanics Reviews

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189

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“…Buckling of elastic structures is a well developed field in engineering 4 with applications in large scale structures such as aircraft, bridges and skyscrapers but similar approaches have been equally successful in the engineering of DNA 5 for example. Early investigations were primarily concerned with the prevention of buckling, but much recent work has focused on harnessing the effect 6 with novel applications in soft robotics 7 , and nature inspired photonics [8][9][10] . Lattice structures formed by perforated elastomers have attracted a great deal of recent attention [11][12][13][14][15] , in part because despite being geometrically simple they exhibit non-trivial buckling modes.…”

Section: Introductionmentioning

confidence: 99%

Buckling of a holey column

2016

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We report the results from a combined experimental and numerical investigation of buckling in a novel variant of an elastic column under axial load. We find that including a regular line of centred holes in the column can prevent conventional, global, lateral buckling. Instead, the local microstructure introduced by the holes allows the column to buckle in an entirely different, internal, mode in which the holes are compressed in alternate directions, but the column maintains the lateral reflection symmetry about its centreline. The internal buckling mode can be accommodated within a smaller external space than the global one; and it is the preferred buckling mode over an intermediate range of column lengths for sufficiently large holes. For very short or sufficiently long columns a modification of the classical, global, lateral buckling is dominant.

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“…In particular, instabilities in periodic porous structures comprising square and triangular arrays of circular holes have been found to lead to the transformation of the pores into ordered arrays of high-aspect ratio (almost closed) ellipses (Mullin et al, 2007;Zhang et al, 2008;Singamaneni et al, 2009) and have been demonstrated to be instrumental for the design of phononic switches Wang and Bertoldi, 2012), color displays (Li et al, 2012) and materials with unusual properties such as large negative Poisson's ratio .…”

Section: Introductionmentioning

confidence: 99%

Stability of periodic porous structures

Bertoldi

2015

CISM International Centre for Mechanical Sciences

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In this chapter we focus on the mechanics of two-dimensional periodic elastomeric cellular structures and present numerical techniques for investigating their finite deformations. We then use them to show that in an elastic matrix with a periodic array of pores instabilities with wavelengths that are of the order of the size of the microstructure can be triggered. Interestingly, these instabilities can be utilized to design a novel class of responsive materials. Possible applications include materials with unusual properties such as negative Poisson's ratio, phononic and photonic switches and colorful and reconfigurable displays.

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Switching periodic membranes via pattern transformation and shape memory effect

Cited by 102 publications

References 27 publications

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Buckling of a holey column

Stability of periodic porous structures

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