Poisson's ratio, the Glossary
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
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) »
- 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.
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.
See Poisson's ratio and Amorphous metal
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.
See Poisson's ratio and Auxetics
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).
See Poisson's ratio and Carbon nanotube
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%.
See Poisson's ratio and Cast iron
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.
See Poisson's ratio and Chinese finger trap
Clay
Clay is a type of fine-grained natural soil material containing clay minerals (hydrous aluminium phyllosilicates, e.g. kaolinite, Al2Si2O5(OH)4).
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.
See Poisson's ratio and Concrete
Copper
Copper is a chemical element; it has symbol Cu and atomic number 29.
See Poisson's ratio and Copper
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.
See Poisson's ratio and Einstein notation
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.
See Poisson's ratio and Elasticity (physics)
Epoxy
Epoxy is the family of basic components or cured end products of epoxy resins.
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.
Glass
Glass is an amorphous (non-crystalline) solid.
Glass fiber
Glass fiber (or glass fibre) is a material consisting of numerous extremely fine fibers of glass.
See Poisson's ratio and Glass fiber
Gold
Gold is a chemical element; it has symbol Au (from the Latin word aurum) and atomic number 79.
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.
See Poisson's ratio and Materials science
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.
See Poisson's ratio and Matrix (mathematics)
Mechanical metamaterials are rationally designed artificial materials/structures of precision geometrical arrangements leading to unusual physical and mechanical properties.
See Poisson's ratio and Mechanical metamaterial
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.
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.
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.
See Poisson's ratio and Siméon Denis Poisson
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.
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.
See Poisson's ratio and Stress (mechanics)
Structural geology
Structural geology is the study of the three-dimensional distribution of rock units with respect to their deformational histories.
See Poisson's ratio and Structural geology
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.
See Poisson's ratio and Titanium
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.
See Poisson's ratio and Yield (engineering)
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
- Action (physics)
- Angular momentum
- Bending moment
- Bulk modulus
- Compressibility
- Elastic modulus
- Generalized coordinates
- Generalized forces
- Impulse (physics)
- Kinetic energy
- Mass density
- Mass flow rate
- Mechanical efficiency
- Mechanical energy
- Moment of inertia
- Momentum
- Poisson's ratio
- Potential energy
- Pressure
- Second moment of area
- Second polar moment of area
- Section modulus
- Shear modulus
- Shear stress
- Specific volume
- Surface tension
- Torque
- Volumetric flow rate
- Weight
- Work (physics)
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.