Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion

Li, Yangbo; Chen, Yanyu; Li, Tiantian; Cao, Siyu; Wang, Lifeng

doi:10.1016/j.compstruct.2018.01.108

Cited by 97 publications

(38 citation statements)

References 47 publications

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“…Unlike homogeneous natural materials, metamaterials are products of human ingenuity and their properties depend largely on internal construction rather than on parent materials [ 1 ]. Over the past few decades, programmed by suitable topology and configuration, these artificial materials have been studied and designed to obtain unconventional characteristics, such as 2D [ 2 , 3 ] and 3D [ 4 , 5 , 6 ] behaviors of negative or zero Poisson’s ratio, negative or zero compressibility [ 7 , 8 , 9 ], tunable magnitude and prescribed directionality of thermal expansion [ 10 , 11 ], negative effective mass density and negative effective elastic modulus [ 12 ] and low-frequency sound absorption [ 13 ].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Performance of Multidirectional Buckling-Based Negative Stiffness Metamaterials: An Analytical and Numerical Study

2018

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Unidirectional, bidirectional and tridirectional Buckling-based Negative Stiffness (BNS) lattice metamaterials are designed by adding prefabricated curved beams into multidimensional rigid frames. Finite Element Analysis models are built, and their mechanical performance is investigated and discussed. First, geometric parameters of the curved beam were systematically studied with numerical analyses and the results were validated by theoretical solutions. Next, within unidirectional designs of different layer numbers, the basic properties of multilayer BNS metamaterials were revealed via quasi-static compressions. Then, the bidirectional and tridirectional designs were loaded on orthogonal axes to research both the quasi-static and dynamic behaviors. For dynamic analysis conditions, simulation scenarios of different impact velocities were implemented and compared. The results demonstrate that the proposed numerical analysis step has accurately predicted the force-displacement relations of both the curved beam and multilayer designs and the relations can be tuned via different geometric parameters. Moreover, the macroscopic performance of the metamaterials is sensitive to the rigidity of supporting frames. The shock force during impact is reduced down below the buckling thresholds of metamaterial designs and sharp impact damage is avoided. The presented metamaterials are able to undergo multiaxial stress conditions while retaining the negative stiffness effect and energy-absorbing nature and possess abundant freedom of parametric design, which is potentially useful in shock and vibration engineering.

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Section: Introductionmentioning

confidence: 99%

Mechanical Performance of Multidirectional Buckling-Based Negative Stiffness Metamaterials: An Analytical and Numerical Study

2018

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“…Ashby plot of the thermal expansion coefficients versus the filling ratio for the representative mechanical metamaterials reported previously [ 3–7,9–12,54,56,60,61,63,66,70 ] and kirigami‐inspired 2D hierarchical designs proposed in the current work. i) Reproduced with permission.…”

Section: Figurementioning

confidence: 92%

“…Ashby plot of the thermal expansion coefficients of natural materials, [ 11,64 ] NTE materials, [ 50,52,72–77 ] representative mechanical metamaterials reported previously (i.e., planar lattice structures, [ 3–5,11,54,56,60,61,63,66 ] topology optimized structures, [ 9,10 ] and chiral metamaterials [ 6,7,12 ] ), and kirigami‐inspired 2D hierarchical designs proposed in the previous [ 70 ] and current work. i) Reproduced with permission.…”

Section: Figurementioning

confidence: 99%

Designing Mechanical Metamaterials with Kirigami‐Inspired, Hierarchical Constructions for Giant Positive and Negative Thermal Expansion

Guo

et al. 2020

Advanced Materials

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Advanced mechanical metamaterials with unusual thermal expansion properties represent an area of growing interest, due to their promising potential for use in a broad range of areas. In spite of previous work on metamaterials with large or ultralow coefficient of thermal expansion (CTE), achieving a broad range of CTE values with access to large thermally induced dimensional changes in structures with high filling ratios remains a key challenge. Here, design concepts and fabrication strategies for a kirigami‐inspired class of 2D hierarchical metamaterials that can effectively convert the thermal mismatch between two closely packed constituent materials into giant levels of biaxial/uniaxial thermal expansion/shrinkage are presented. At large filling ratios (>50%), these systems offer not only unprecedented negative and positive biaxial CTE (i.e., −5950 and 10 710 ppm K−1), but also large biaxial thermal expansion properties (e.g., > 21% for 20 K temperature increase). Theoretical modeling of thermal deformations provides a clear understanding of the microstructure–property relationships and serves as a basis for design choices for desired CTE values. An Ashby plot of the CTE versus density serves as a quantitative comparison of the hierarchical metamaterials presented here to previously reported systems, indicating the capability for substantially enlarging the accessible range of CTE.

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“…Their investigation provides distinctive sensing results and therefore avails a novel method to the microfluidic sensor applications by using the sample holder. Although negative material properties-such as negative Poisson's ratio [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], negative thermal expansion [23][24][25][26][27][28][29][30][31], negative compressibility [32][33][34][35][36][37] and negative moisture expansion [38][39][40]-have been investigated for a few decades due to their capability of behaving in ways that are not achievable by conventional materials, it remains that some applications may require both positive and negative properties depending on the circumstances. For this reason, a series of metamaterials in which their effective material properties can switch between positive and negative signs have been introduced.…”

Section: Introductionmentioning

confidence: 99%

Composite metamaterial square grids with sign-flipping expansion coefficients leading to a type of Islamic design

Lim

2020

SN Appl. Sci.

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A class of 2D metamaterials with sign-switching coefficients of thermal, pressure and moisture expansions is proposed herein-such materials not only change properties with environmental changes, but also reverses between positive and negative. Designed from bimaterial strips and arranged into the form of square grids, changes to environmental conditions transform the square grids into 2D array of 8-pointed stars found in Islamic art and architecture. Results indicate that the bimaterial strip deflection can fit the 8-pointed star when the overall strain is−0.105. Suppose the general expansion coefficients for both materials in the bimaterial strip (1 , 2) are known, then the required environmental changes for attaining the 8-pointed star array can be determined. The currently proposed metamaterial not only demonstrates its capability of attaining properties with reversible sign, but also achieve aesthetic feature with historical significance. Keywords Environmental change • Islamic art • Metamaterials • Sign-toggling List of symbols Generic coefficient of environmental expansion 1 Generic coefficient of environmental expansion for material 1 of bimaterial strip 2 Generic coefficient of environmental expansion for material 2 of bimaterial strip (C) V

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Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion

Cited by 97 publications

References 47 publications

Mechanical Performance of Multidirectional Buckling-Based Negative Stiffness Metamaterials: An Analytical and Numerical Study

Mechanical Performance of Multidirectional Buckling-Based Negative Stiffness Metamaterials: An Analytical and Numerical Study

Designing Mechanical Metamaterials with Kirigami‐Inspired, Hierarchical Constructions for Giant Positive and Negative Thermal Expansion

Composite metamaterial square grids with sign-flipping expansion coefficients leading to a type of Islamic design

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