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Auxetics are
structure A structure is an arrangement and organization of interrelated elements in a material object or system, or the object or system so organized. Material structures include man-made objects such as buildings and machines and natural objects such as ...
s or
materials Material is a substance or mixture of substances that constitutes an object. Materials can be pure or impure, living or non-living matter. Materials can be classified on the basis of their physical and chemical properties, or on their geologic ...
that have a negative
Poisson's ratio In materials science and solid mechanics, Poisson's ratio \nu ( nu) is a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading. The value of Pois ...
. When stretched, they become thicker perpendicular to the applied force. This occurs due to their particular internal structure and the way this deforms when the sample is uniaxially loaded. Auxetics can be single
molecule A molecule is a group of two or more atoms held together by attractive forces known as chemical bonds; depending on context, the term may or may not include ions which satisfy this criterion. In quantum physics, organic chemistry, and bioch ...
s, crystals, or a particular structure of macroscopic matter. Such materials and structures are expected to have mechanical properties such as high energy absorption and
fracture Fracture is the separation of an object or material into two or more pieces under the action of stress. The fracture of a solid usually occurs due to the development of certain displacement discontinuity surfaces within the solid. If a displa ...
resistance. Auxetics may be useful in applications such as
body armor Body armor, also known as body armour, personal armor or armour, or a suit or coat of armor, is protective clothing designed to absorb or deflect physical attacks. Historically used to protect military personnel, today it is also used by variou ...
, packing material, knee and elbow pads, robust shock absorbing material, and sponge mops.


History

The term ''auxetic'' derives from the
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
word () which means 'that which tends to increase' and has its root in the word (), meaning 'increase' (noun). This terminology was coined by Professor Ken Evans of the
University of Exeter The University of Exeter is a public university , public research university in Exeter, Devon, England, United Kingdom. Its predecessor institutions, St Luke's College, Exeter School of Science, Exeter School of Art, and the Camborne School of Min ...
.. One of the first artificially produced auxetic materials, the RFS structure (diamond-fold structure), was invented in 1978 by the Berlin researcher K. Pietsch. Although he did not use the term auxetics, he describes for the first time the underlying lever mechanism and its non-linear mechanical reaction so he is therefore considered the inventor of the auxetic net. The earliest published example of a material with negative Poisson's constant is due to A. G. Kolpakov in 1985, "Determination of the average characteristics of elastic frameworks"; the next synthetic auxetic material was described in ''Science'' in 1987, entitled "
Foam Foams are materials formed by trapping pockets of gas in a liquid or solid. A bath sponge and the head on a glass of beer are examples of foams. In most foams, the volume of gas is large, with thin films of liquid or solid separating the reg ...
structures with a Negative Poisson's Ratio" by R.S. Lakes from the
University of Wisconsin Madison A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, t ...
. The use of the word ''auxetic'' to refer to this property probably began in 1991. Recently, cells were shown to display a biological version of auxeticity under certain conditions. Designs of composites with inverted hexagonal periodicity cell (auxetic hexagon), possessing negative Poisson ratios, were published in 1985.


Properties

Typically, auxetic materials have low
density Density (volumetric mass density or specific mass) is the substance's mass per unit of volume. The symbol most often used for density is ''ρ'' (the lower case Greek letter rho), although the Latin letter ''D'' can also be used. Mathematical ...
, which is what allows the hinge-like areas of the auxetic microstructures to flex. At the macroscale, auxetic behaviour can be illustrated with an
inelastic In economics, elasticity measures the percentage change of one economic variable in response to a percentage change in another. If the price elasticity of the demand of something is -2, a 10% increase in price causes the demand quantity to fall ...
string wound around an elastic cord. When the ends of the structure are pulled apart, the inelastic string straightens while the elastic cord stretches and winds around it, increasing the structure's effective volume. Auxetic behaviour at the macroscale can also be employed for the development of products with enhanced characteristics such as footwear based on the auxetic rotating triangles structures developed by Grima and Evans and prosthetic feet with human-like toe joint properties.


Examples

Examples of auxetic materials include: * Auxetic
polyurethane Polyurethane (; often abbreviated PUR and PU) refers to a class of polymers composed of organic chemistry, organic units joined by carbamate (urethane) links. In contrast to other common polymers such as polyethylene and polystyrene, polyurethan ...
foam * α-Cristobalite. * Liquid crystal polymers with rotating transverse rods could potentially be auxetic. Experimental pursuits towards producing materials auxetic at the molecular scale (and also in the macroscopic sense) have rarely been successful so far. * Certain states of crystalline materials: Li, Na, K, Cu, Rb, Ag, Fe, Ni, Co, Cs, Au, Be, Ca, Zn, Sr, Sb, MoS_2, BAsO_4 and other. * Certain rocks and minerals *
Graphene Graphene () is an allotrope of carbon consisting of a single layer of atoms arranged in a hexagonal lattice nanostructure.
, which can be made auxetic through the introduction of vacancy defects * Carbon diamond-like phases * Noncarbon nanotubes * Living bone tissue (although this is only suspected) * Tendons within their normal range of motion. * Specific variants of
polytetrafluorethylene Polytetrafluoroethylene (PTFE) is a synthetic fluoropolymer of tetrafluoroethylene that has numerous applications. It is one of the best-known and widely applied PFAS. The commonly known brand name of PTFE-based composition is Teflon by Chemour ...
polymers such as
Gore-Tex Gore-Tex is a waterproof, breathable fabric membrane and registered trademark of W. L. Gore & Associates. Invented in 1969, Gore-Tex can repel liquid water while allowing water vapor to pass through and is designed to be a lightweight, waterpr ...
* Paper, several types. If a paper is stretched in an in-plane direction it will expand in its thickness direction due to its network structure. * Several types of origami folds like the Diamond-Folding-Structure (RFS), the herringbone-fold-structure (FFS) or the
miura fold The is a method of folding a flat surface such as a sheet of paper into a smaller area. The fold is named for its inventor, Japanese astrophysicist Kōryō Miura. The crease patterns of the Miura fold form a tessellation of the surface by par ...
, and other periodic patterns derived from it. *Tailored structures designed to exhibit special designed Poisson's ratios. *Chain organic molecules. Recent researches revealed that organic crystals like n- paraffins and similar to them may demonstrate an auxetic behavior. * Processed needle-punched nonwoven fabrics. Due to the network structure of such fabrics, a processing protocol using heat and pressure can convert ordinary (not auxetic) nonwovens into auxetic ones.


See also

*
Acoustic metamaterial An acoustic metamaterial, sonic crystal, or phononic crystal, is a material designed to control, direct, and manipulate sound waves or phonons in gases, liquids, and solids (crystal lattices). Sound wave control is accomplished through manipulating ...
* Mechanical metamaterial *
Metamaterial A metamaterial (from the Greek word μετά ''meta'', meaning "beyond" or "after", and the Latin word ''materia'', meaning "matter" or "material") is any material engineered to have a property that is not found in naturally occurring materials. ...
*
Parallelogon In geometry, a parallelogon is a polygon with parallel opposite sides (hence the name) that can tile a plane by translation ( rotation is not permitted). Parallelogons have an even number of sides and opposite sides that are equal in length. A ...
*
Zetix Zetix is a fabric invented by Auxetics Technologies, Ltd., a UK company. It is marketed in North America under the trade name Xtegra by Advanced Fabric Technologies of Houston, Texas. Zetix is an auxetic material that is so strong it absorbs ...
, a type of commercially manufactured auxetic material


References

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External links


Materials with negative Poisson's ratio

Auxetic foam in youtube

General Information about Auxetic Materials
Materials Geometric shapes