Metamaterials with negative compressibility — a novel concept with a long history

Imre, Attila R.

doi:10.2478/s13536-013-0179-4

Cited by 17 publications

(9 citation statements)

References 27 publications

(25 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition to "electromagnetic negative materials" such as "negative index materials", "negative materials" from a mechanical standpoint have also been investigated and developed. These "mechanical negative materials" comprise negative Poisson's ratio (NPR) or auxetic materials, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] "negative thermal expansion" (NTE) materials, [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] "negative compressibility" (NC) materials, [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]…”

Section: Introductionmentioning

confidence: 99%

“…In addition to “electromagnetic negative materials” such as “negative index materials”, “negative materials” from a mechanical standpoint have also been investigated and developed. These “mechanical negative materials” comprise negative Poisson's ratio (NPR) or auxetic materials, “negative thermal expansion” (NTE) materials, “negative compressibility” (NC) materials, and “negative stiffness” phases . Adding to these, the possibility of “negative hygroscopic expansion” (NHE) or “negative moisture expansion” (NME) materials was recently discussed; an NHE material is one that contracts upon absorption of moisture.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Negative Hygrothermal Expansion of Reinforced Double Arrowhead Microstructure

Lim

2020

Physica Status Solidi (b)

View full text Add to dashboard Cite

A microstructure, consisting of conventional rods, is herein shown to exhibit “negative hygroscopic expansion” (NHE) in the form of a reinforced double arrowhead with freely rotating joints, whereby the NHE occurs in the direction perpendicular to the reinforcing rods. A kinematic analysis enabled the condition of NHE, as well as the conditions of its “negative thermal expansion” (NTE) analogy, to be established. Results show that the likelihood of “negative expansion” is increased when the longer inclined rod expands to a much greater extent in contrast to the expansions of the reinforcing and the shorter inclined rods. Combined description of NHE and NTE not only allows the conditions of “negative hygrothermal expansion” (NHTE) to be put forth but also the condition by which “zero hygrothermal expansion” (ZHTE) is achieved by means of mutual cancellation between both types of expansions. This concept of ZHTE allows a more flexible design of materials and structures that are exposed to simultaneous changes in moisture concentration and temperature, as it does not require the minimization of both the coefficients of hygroscopic and thermal expansions.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Negative Hygrothermal Expansion of Reinforced Double Arrowhead Microstructure

Lim

2020

Physica Status Solidi (b)

View full text Add to dashboard Cite

show abstract

“…The science of mechanical metamaterials emerged at the interface of applied mechanics and materials engineering, inspired by the earlier research in optics, acoustics and electromagnetism [1–11], to explore opportunities for materials with exotic mechanical properties rarely found in the nature. The modern research in mechanical metamaterials encompasses design, theoretical, experimental and computational studies of material systems with negative Poisson's ratio [12–14], negative bulk modulus [15,16], negative longitudinal stiffness and compliance [17–21], reverse Saint–Venant's effect [22] and other anomalous elastic properties. Interesting properties of the metamaterials are defined mostly by their internal structure, topology and geometric architecture rather than chemical composition.…”

Section: Introductionmentioning

confidence: 99%

“…properties rarely found in the nature. The modern research in mechanical metamaterials encompasses design, theoretical, experimental and computational studies of material systems with negative Poisson's ratio [12][13][14], negative bulk modulus [15,16], negative longitudinal stiffness and compliance [17][18][19][20][21], reverse Saint-Venant's effect [22] and other anomalous elastic properties. Interesting properties of the metamaterials are defined mostly by their internal structure, topology and geometric architecture rather than chemical composition.…”

Section: Introductionmentioning

confidence: 99%

Anomalous strain energy transformation pathways in mechanical metamaterials

2019

View full text Add to dashboard Cite

This discussion starts with a mechanics version of Parseval's energy theorem applicable to any discrete lattice material with periodic internal structure: a microtruss, grid, frame, origami or tessellation. It provides a simple relationship between the strain energy volumetric/usual and spectral distributions in the reciprocal space. The spectral energy distribution leads directly to a spectral entropy of lattice deformation (Shannon's type), whose variance with a material coordinate represents the decrease of information about surface loads in the material interior. Spectral entropy is also a basic measure of complexity of mechanical responses of metamaterials to surface and body loads. Considering transformation of the energy volumetric and spectral distributions with a material coordinate pointed away from a surface load, several interesting anomalies are seen even for simple lattice materials, when compared to continuum materials. These anomalies include selective filtering of surface Raleigh waves (sinusoidal pressure patterns), Saint–Venant effect inversion illustrated by energy spectral distribution contours, occurrence of ‘hiding pockets’ of low deformation, and redirection of strain energy maximum away from axis of a concentrated surface load. The latter phenomenon can be significant for impact protection applications of mechanical metamaterials.

show abstract

“…Materials that manifest counter‐intuitive characteristics are of interest not only because of their seemingly anomalous nature, but arising from the possibility of such materials to permit the development of smart materials, structures and devices to respond in ways which have not been thought possible when conventional materials are used. The discovery of negative thermal expansion (NTE) materials, followed by negative compressibility (NC) materials have opened up a suite negative materials at the disposal of material, structural and device designers to take advantage of these novel properties. In addition, negative stiffness was found in auxetic plates constrained at two opposing sides, whereby the displacement vector near the vertices is antiparallel to the direction of the applied force .…”

Section: Introductionmentioning

confidence: 99%

Negative Environmental Expansion for Interconnected Array of Rings and Sliding Rods

Lim¹

2018

Physica Status Solidi (b)

View full text Add to dashboard Cite

Materials and structures are exposed to simultaneous fluctuations in temperature, pressure, and moisture in the environment, which result in additional stresses and strains in addition to mechanical loadings. This paper develops the effective coefficient of thermal expansion (CTE), coefficient of moisture expansion (CME), and compressibility for the interconnected array of ring and sliding rod structures made from conventional materials, wherein conditions that lead to negative thermal expansion (NTE), negative moisture expansion (NME) and negative compressibility (NC)and hence the negative environmental expansion (NEE)are established. The above-mentioned coefficients shift toward negative values as the ratio of ring-to-rod expansivity increases. The established effective CTE, CME, and compressibility not only permit the requirements for NTE, NME, and NC to be ascertained, but also allow the less restrictive condition of zero environmental expansion to be implemented in the design of materials and structures, without requiring zero CTE, CME, and compressibility.

show abstract

Metamaterials with negative compressibility — a novel concept with a long history

Cited by 17 publications

References 27 publications

Negative Hygrothermal Expansion of Reinforced Double Arrowhead Microstructure

Negative Hygrothermal Expansion of Reinforced Double Arrowhead Microstructure

Anomalous strain energy transformation pathways in mechanical metamaterials

Negative Environmental Expansion for Interconnected Array of Rings and Sliding Rods

Contact Info

Product

Resources

About