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Poisson's ratio, the Glossary

Index Poisson's ratio

In materials science and solid mechanics, Poisson's ratio (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.[1]

Table of Contents

  1. 58 relations: Alloy, Aluminium, Amorphous metal, Anisotropy, Auxetics, Bulk modulus, Carbon nanotube, Cast iron, Chinese finger trap, Clay, Compressive strength, Concrete, Copper, Cork (material), Creep (deformation), Cylinder stress, Deformation (engineering), Deformation (physics), Einstein notation, Elasticity (physics), Epoxy, Finite strain theory, Foam, Glass, Glass fiber, Gold, Honeycomb structure, Hooke's law, Impulse excitation technique, Kronecker delta, Lamé parameters, Lateral strain, Linear elasticity, Magnesium, Materials science, Matrix (mathematics), Mechanical metamaterial, Natural rubber, Nomex, Nu (letter), Orthotropic material, Sand, Shear modulus, Shear stress, Siméon Denis Poisson, Solid mechanics, Stainless steel, Steel, Strain (mechanics), Stress (mechanics), ... Expand index (8 more) »

  2. Mechanical quantities

Alloy

An alloy is a mixture of chemical elements of which in most cases at least one is a metallic element, although it is also sometimes used for mixtures of elements; herein only metallic alloys are described.

See Poisson's ratio and Alloy

Aluminium

Aluminium (Aluminum in North American English) is a chemical element; it has symbol Al and atomic number 13.

See Poisson's ratio and Aluminium

An amorphous metal (also known as metallic glass, glassy metal, or shiny metal) is a solid metallic material, usually an alloy, with disordered atomic-scale structure.

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Anisotropy

Anisotropy is the structural property of non-uniformity in different directions, as opposed to isotropy.

See Poisson's ratio and Anisotropy

Auxetics

Auxetics are typical structures of the representative mechanical meta-materials.

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Bulk modulus

The bulk modulus (K or B or k) of a substance is a measure of the resistance of a substance to bulk compression. Poisson's ratio and bulk modulus are elasticity (physics) and mechanical quantities.

See Poisson's ratio and Bulk modulus

Carbon nanotube

A scanning tunneling microscopy image of a single-walled carbon nanotube Rotating single-walled zigzag carbon nanotube A carbon nanotube (CNT) is a tube made of carbon with a diameter in the nanometre range (nanoscale).

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Cast iron

Cast iron is a class of iron–carbon alloys with a carbon content of more than 2% and silicon content around 1–3%.

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Chinese finger trap

A Chinese finger trap (also known as a Chinese finger puzzle, Chinese thumb cuff, Chinese handcuffs, and similar variants) is a gag toy used to play a practical joke on unsuspecting children and adults.

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Clay

Clay is a type of fine-grained natural soil material containing clay minerals (hydrous aluminium phyllosilicates, e.g. kaolinite, Al2Si2O5(OH)4).

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Compressive strength

In mechanics, compressive strength (or compression strength) is the capacity of a material or structure to withstand loads tending to reduce size (compression). Poisson's ratio and compressive strength are materials science.

See Poisson's ratio and Compressive strength

Concrete

Concrete is a composite material composed of aggregate bonded together with a fluid cement that cures to a solid over time.

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Copper

Copper is a chemical element; it has symbol Cu and atomic number 29.

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Cork (material)

Cork is an impermeable buoyant material.

See Poisson's ratio and Cork (material)

Creep (deformation)

In materials science, creep (sometimes called cold flow) is the tendency of a solid material to undergo slow deformation while subject to persistent mechanical stresses. Poisson's ratio and creep (deformation) are elasticity (physics).

See Poisson's ratio and Creep (deformation)

Cylinder stress

In mechanics, a cylinder stress is a stress distribution with rotational symmetry; that is, which remains unchanged if the stressed object is rotated about some fixed axis.

See Poisson's ratio and Cylinder stress

Deformation (engineering)

In engineering, deformation (the change in size or shape of an object) may be elastic or plastic. Poisson's ratio and deformation (engineering) are solid mechanics.

See Poisson's ratio and Deformation (engineering)

Deformation (physics)

In physics and continuum mechanics, deformation is the change in the shape or size of an object. Poisson's ratio and deformation (physics) are solid mechanics.

See Poisson's ratio and Deformation (physics)

Einstein notation

In mathematics, especially the usage of linear algebra in mathematical physics and differential geometry, Einstein notation (also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving brevity.

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Elasticity (physics)

In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. Poisson's ratio and elasticity (physics) are solid mechanics.

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Epoxy

Epoxy is the family of basic components or cured end products of epoxy resins.

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Finite strain theory

In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory. Poisson's ratio and finite strain theory are elasticity (physics) and solid mechanics.

See Poisson's ratio and Finite strain theory

Foam

Foams are materials formed by trapping pockets of gas in a liquid or solid.

See Poisson's ratio and Foam

Glass

Glass is an amorphous (non-crystalline) solid.

See Poisson's ratio and Glass

Glass fiber

Glass fiber (or glass fibre) is a material consisting of numerous extremely fine fibers of glass.

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Gold

Gold is a chemical element; it has symbol Au (from the Latin word aurum) and atomic number 79.

See Poisson's ratio and Gold

Honeycomb structure

Honeycomb structures are natural or man-made structures that have the geometry of a honeycomb to allow the minimization of the amount of used material to reach minimal weight and minimal material cost.

See Poisson's ratio and Honeycomb structure

Hooke's law

In physics, Hooke's law is an empirical law which states that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance—that is, where is a constant factor characteristic of the spring (i.e., its stiffness), and is small compared to the total possible deformation of the spring. Poisson's ratio and Hooke's law are elasticity (physics) and solid mechanics.

See Poisson's ratio and Hooke's law

Impulse excitation technique

The impulse excitation technique (IET) is a non-destructive material characterization technique to determine the elastic properties and internal friction of a material of interest. Poisson's ratio and impulse excitation technique are materials science.

See Poisson's ratio and Impulse excitation technique

Kronecker delta

In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.

See Poisson's ratio and Kronecker delta

Lamé parameters

In continuum mechanics, Lamé parameters (also called the Lamé coefficients, Lamé constants or Lamé moduli) are two material-dependent quantities denoted by λ and μ that arise in strain-stress relationships. Poisson's ratio and Lamé parameters are elasticity (physics).

See Poisson's ratio and Lamé parameters

Lateral strain

In continuum mechanics, lateral strain, also known as transverse strain, is defined as the ratio of the change in diameter of a circular bar of a material to its diameter due to deformation in the longitudinal direction.

See Poisson's ratio and Lateral strain

Linear elasticity

Linear elasticity is a mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions. Poisson's ratio and Linear elasticity are elasticity (physics) and solid mechanics.

See Poisson's ratio and Linear elasticity

Magnesium

Magnesium is a chemical element; it has symbol Mg and atomic number 12.

See Poisson's ratio and Magnesium

Materials science

Materials science is an interdisciplinary field of researching and discovering materials.

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Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

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Mechanical metamaterials are rationally designed artificial materials/structures of precision geometrical arrangements leading to unusual physical and mechanical properties.

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Natural rubber

Rubber, also called India rubber, latex, Amazonian rubber, caucho, or caoutchouc, as initially produced, consists of polymers of the organic compound isoprene, with minor impurities of other organic compounds.

See Poisson's ratio and Natural rubber

Nomex

Nomex is a flame-resistant meta-aramid material developed in the early 1960s by DuPont and first marketed in 1967.

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Nu (letter)

Nu (uppercase Ν, lowercase ν; vι ni) is the thirteenth letter of the Greek alphabet, representing the voiced alveolar nasal.

See Poisson's ratio and Nu (letter)

Orthotropic material

In material science and solid mechanics, orthotropic materials have material properties at a particular point which differ along three orthogonal axes, where each axis has twofold rotational symmetry.

See Poisson's ratio and Orthotropic material

Sand

Sand is a granular material composed of finely divided mineral particles.

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Shear modulus

In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is a measure of the elastic shear stiffness of a material and is defined as the ratio of shear stress to the shear strain: where The derived SI unit of shear modulus is the pascal (Pa), although it is usually expressed in gigapascals (GPa) or in thousand pounds per square inch (ksi). Poisson's ratio and shear modulus are elasticity (physics), materials science and mechanical quantities.

See Poisson's ratio and Shear modulus

Shear stress

Shear stress (often denoted by, Greek: tau) is the component of stress coplanar with a material cross section. Poisson's ratio and Shear stress are mechanical quantities.

See Poisson's ratio and Shear stress

Siméon Denis Poisson

Baron Siméon Denis Poisson FRS FRSE (21 June 1781 – 25 April 1840) was a French mathematician and physicist who worked on statistics, complex analysis, partial differential equations, the calculus of variations, analytical mechanics, electricity and magnetism, thermodynamics, elasticity, and fluid mechanics.

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Solid mechanics

Solid mechanics (also known as mechanics of solids) is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation under the action of forces, temperature changes, phase changes, and other external or internal agents.

See Poisson's ratio and Solid mechanics

Stainless steel

Stainless steel, also known as inox, corrosion-resistant steel (CRES), and rustless steel, is an alloy of iron that is resistant to rusting and corrosion.

See Poisson's ratio and Stainless steel

Steel

Steel is an alloy of iron and carbon with improved strength and fracture resistance compared to other forms of iron.

See Poisson's ratio and Steel

Strain (mechanics)

In mechanics, strain is defined as relative deformation, compared to a position configuration. Poisson's ratio and strain (mechanics) are solid mechanics.

See Poisson's ratio and Strain (mechanics)

Stress (mechanics)

In continuum mechanics, stress is a physical quantity that describes forces present during deformation. Poisson's ratio and stress (mechanics) are solid mechanics.

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Structural geology

Structural geology is the study of the three-dimensional distribution of rock units with respect to their deformational histories.

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Structural load

A structural load or structural action is a mechanical load (more generally a force) applied to structural elements.

See Poisson's ratio and Structural load

Thermal expansion

Thermal expansion is the tendency of matter to increase in length, area, or volume, changing its size and density, in response to an increase in temperature (usually excluding phase transitions).

See Poisson's ratio and Thermal expansion

Titanium

Titanium is a chemical element; it has symbol Ti and atomic number 22.

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Transpose

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix by producing another matrix, often denoted by (among other notations).

See Poisson's ratio and Transpose

Transverse isotropy

A transversely isotropic material is one with physical properties that are symmetric about an axis that is normal to a plane of isotropy. Poisson's ratio and transverse isotropy are elasticity (physics).

See Poisson's ratio and Transverse isotropy

Yield (engineering)

In materials science and engineering, the yield point is the point on a stress-strain curve that indicates the limit of elastic behavior and the beginning of plastic behavior. Poisson's ratio and yield (engineering) are elasticity (physics) and solid mechanics.

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Young's modulus

Young's modulus (or Young modulus) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is applied lengthwise. Poisson's ratio and Young's modulus are elasticity (physics).

See Poisson's ratio and Young's modulus

See also

Mechanical quantities

References

[1] https://en.wikipedia.org/wiki/Poisson's_ratio

Also known as Poison's ratio, Poisons ratio, Poisson Ratio, Poisson contraction, Poisson effect, Poisson's effect, Poissons ratio.

, Structural geology, Structural load, Thermal expansion, Titanium, Transpose, Transverse isotropy, Yield (engineering), Young's modulus.