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Mechanical property that measures stiffness of a solid material
Young's modulus (or the Young modulus) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is
Young's_modulus
Computation modulo a fixed integer
by m. This means that every non-zero integer m may be taken as a modulus. In modulus 12, one can assert that: 38 ≡ 14 (mod 12) because the difference
Modular_arithmetic
Topics referred to by the same term
Look up modulus in Wiktionary, the free dictionary. Modulus is the diminutive from the Latin word modus meaning measure or manner. It, or its plural moduli
Modulus
Simple checksum formula
Luhn formula (creator: IBM scientist Hans Peter Luhn), also known as the "modulus 10" or "mod 10" algorithm, is a simple check digit formula used to validate
Luhn_algorithm
Species of gastropod
Modulus modulus, commonly known as the buttonsnail, is a species of small sea snail, a marine gastropod mollusc in the family Modulidae. This species
Modulus_modulus
Resistance of a material to uniform pressure
(strain) to other kinds of stress: the shear modulus describes the response to shear stress and Young's modulus describes the response to normal (lengthwise
Bulk_modulus
Physical property that measures stiffness of material
deformation region; a stiffer material will have a higher elastic modulus. An elastic modulus has the form: δ =def stressstrain where stress is the force causing
Elastic_modulus
Ratio of shear stress to shear strain
In solid mechanics, the 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
Shear_modulus
Computational operation
remainder of a division of one number by another, the latter being called the modulus of the operation. Given two positive numbers a and m, a modulo m (often
Modulo
Speed of sound wave through elastic medium
compressibility, shear modulus, and density. The speed of shear waves is determined only by the solid material's shear modulus and density. In fluid dynamics
Speed_of_sound
Distance from zero to a number
In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the (non-negative) magnitude of x measured without regard to its sign
Absolute_value
Material property
Flexural strength, also known as modulus of rupture, bend strength, or transverse rupture strength, is a material property defined as the maximum stress
Flexural_strength
Topics referred to by the same term
Complex modulus may refer to: Modulus of complex number, in mathematics, the norm or absolute value, of a complex number: | x + i y | = x 2 + y 2 {\displaystyle
Complex_modulus
Relation between properties and composition of a compound
composite material. For the Young's modulus E {\displaystyle E} , the rule of mixtures states that the overall modulus equals E ¯ V = f E 1 + ( 1 − f ) E
Rule_of_mixtures
Material made from a combination of two or more unlike substances
be described with the following material properties: Young's Modulus, the shear modulus, and the Poisson's ratio, in relatively simple mathematical relationships
Composite_material
Product of a number by itself
absolute value of a complex number is called its absolute square, squared modulus, or squared magnitude.[better source needed] It is the product of the complex
Square_(algebra)
Geometric property of a structural member
shape in question. There are two types of section modulus, elastic and plastic: The elastic section modulus is used to calculate a cross-section's resistance
Section_modulus
Genus of gastropods
within the genus Modulus include: Modulus ambiguus Dautzenberg, 1910 Modulus bayeri Petuch, 2001 Modulus bermontianus Petuch, 1994 Modulus cerodes A. Adams
Modulus_(gastropod)
Ratio of the thermal resistances of a body's interior to its surface
The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations, named for the eighteenth-century French physicist Jean-Baptiste Biot
Biot_number
Force needed to pull a spring grows linearly with distance
c can be reduced to only two independent numbers, the bulk modulus K and the shear modulus G, that quantify the material's resistance to changes in volume
Hooke's_law
SI derived unit of pressure
or magnetic resonance imaging, and often displays the Young's modulus or shear modulus of tissue in kilopascals. In materials science and engineering
Pascal_(unit)
waves. In linear elasticity, the P-wave modulus M, also known as the longitudinal modulus, or the constrained modulus, is one of the elastic moduli available
P-wave_modulus
Model of viscoelastic material
}{\eta }}+{\frac {1}{E}}{\frac {d\sigma }{dt}}} where E is the elastic modulus and η is the material coefficient of viscosity. This model describes the
Maxwell_model
Continuum mechanics
against bending deflection/deformation. It is a function of the Young's modulus E {\displaystyle E} , the second moment of area I {\displaystyle I} of
Bending_stiffness
Light, strong and rigid composite material
application is only occasionally used. Specialist ultra-high modulus CFRP (with tensile modulus of 420 GPa or more) is one of the few practical methods of
Carbon fiber reinforced polymer
Carbon_fiber_reinforced_polymer
Parameter used to calculate the volume change of a fluid or solid in response to pressure
of compressibility at fixed temperature is called the isothermal bulk modulus. The specification above is incomplete, because for any object or system
Compressibility
Algorithm for generating pseudo-randomized numbers
is equivalent to a generator with modulus m/4 and c ≠ 0. A more serious issue with the use of a power-of-two modulus is that the low bits have a shorter
Linear_congruential_generator
Stress-strain relation in a linear elastic material
two independent components, which can be chosen to be the bulk modulus and shear modulus. The most general linear relation between two second-rank tensors
Elasticity_tensor
Symmetric holomorphic function
}{\lambda -1}},1-\lambda }\right\rbrace \ .} It is the square of the elliptic modulus, that is, λ ( τ ) = k 2 ( τ ) {\displaystyle \lambda (\tau )=k^{2}(\tau
Modular_lambda_function
is a modulus of elasticity, one of several kinds that depend on the specific strain being examined: bulk modulus, shear modulus, Young's modulus, or P-wave
Strength_of_materials
Mathematical theorem in complex analysis
mathematics, the maximum modulus principle in complex analysis states that if f {\displaystyle f} is a holomorphic function, then the modulus | f | {\displaystyle
Maximum_modulus_principle
Measure of material deformation perpendicular to loading
For soft materials, such as rubber, where the bulk modulus is much higher than the shear modulus, Poisson's ratio is near 0.5. For open-cell polymer
Poisson's_ratio
Oxide mineral
Young's modulus is temperature dependent, and has been reported in the [0001] direction as 435 GPa at 323 K and 386 GPa at 1,273 K. The shear modulus of corundum
Corundum
Material testing procedure that makes a very small mark in a surface
corner (90°) tip is 2.598. The reduced modulus E r {\displaystyle E_{\text{r}}} is related to Young's modulus E s {\displaystyle E_{\text{s}}} of the
Nanoindentation
Curve representing a material's response to applied forces
the elastic region, and the slope of this region is the modulus of elasticity or Young's modulus. Plastic flow initiates at the upper yield point and continues
Stress–strain_curve
English polymath (1773–1829)
Young's modulus is independent of the quantity under investigation; that is, it is an intensive property of the material. Young's Modulus allowed, for
Thomas_Young_(scientist)
Construction element
requiring the least material) needed to achieve a given section modulus. Since the section modulus depends on the value of the moment of inertia, an efficient
I-beam
Type of linear congruential generator with no additive constant
composite modulus is possible, but the generator must be seeded with a value coprime to m, or the period will be greatly reduced. For example, a modulus of F5
Lehmer random number generator
Lehmer_random_number_generator
Lévy's modulus of continuity theorem is a theorem that gives a result about an almost sure behaviour of an estimate of the modulus of continuity for Wiener
Lévy's modulus of continuity theorem
Lévy's_modulus_of_continuity_theorem
Intensive property in mechanics
In mechanics, the flexural modulus, bending modulus, or modulus of rigidity is an intensive property that is computed as the ratio of stress to strain
Flexural_modulus
Slope of the stress-strain curve in solid mechanics
linear elastic regime) the tangent modulus is equivalent to Young's modulus. Above the proportional limit the tangent modulus varies with strain and is most
Tangent_modulus
Heavy-duty plain-woven fabric
decreased the effective elastic modulus (combined modulus of the weft and warp directions). For example, the effective modulus at 30% relative humidity is
Canvas
Concept in modular arithmetic
integer x such that the product ax is congruent to 1 with respect to the modulus m. In the standard notation of modular arithmetic this congruence is written
Modular multiplicative inverse
Modular_multiplicative_inverse
Mathematical term
In real analysis, a branch of mathematics, a modulus of convergence is a function that tells how quickly a convergent sequence converges. These moduli
Modulus_of_convergence
Material ability to absorb energy when deformed elastically
_{y}}{2}}} where Ur is the modulus of resilience, σy is the yield strength, εy is the yield strain, and E is the Young's modulus. This analysis is not valid
Resilience (materials science)
Resilience_(materials_science)
Hardness-testing device
indentation hardness, a relation between the ASTM D2240 hardness and the Young's modulus for elastomers has been derived by Gent. Gent's relation has the form:
Shore_durometer
Dimensionless parameter of the Weibull distribution
by two different modes. In this equation m1 is the modulus for the first mode, and m2 is the modulus for the second mode. Φ is the fraction of the sample
Weibull_modulus
Algorithm for public-key cryptography
private exponent d, one can efficiently factor the modulus n = pq. And given factorization of the modulus n = pq, one can obtain any private key (d', n) generated
RSA_cryptosystem
Material fibers about 5–10 μm in diameter composed of carbon
strength and higher elastic modulus, such as T400 from Toray with a tensile strength of 4,000 MPa and M40 with a modulus of 400 GPa. Intermediate carbon
Carbon_fibers
Resilient and smooth elastic tissue present in animals
the aggregate modulus of cartilage, which is typically in the range of 0.5 to 0.9 MPa for articular cartilage, and the Young's Modulus, which is typically
Cartilage
Composite material used for paving
around 10 millimetres (3⁄8 in) for flooring or roof applications. High-modulus asphalt concrete, sometimes referred to by the French-language acronym
Asphalt_concrete
Device storing number of times an event or process occurred
Gray code, and one-hot. The modulus of a counter is the number of states in its count sequence. A counter that has modulus value m is commonly referred
Counter_(digital)
Twisting of an object due to an applied torque
a complex shear modulus G ∗ = G ′ + i G ″ , {\displaystyle G^{*}=G'+iG'',} where G ′ {\displaystyle G'} is the shear storage modulus and G ″ {\displaystyle
Torsion_(mechanics)
SI derived unit of angle
Hence the Modulus of the Trigonometric Canon will be 57.2957795130 &c. Whose Reciprocal is 0.0174532925 &c. With the help of this modulus (which I found
Radian
Material with Vickers hardness exceeding 40 gigapascals
shear modulus, the greater the ability for a material to resist shearing forces. Therefore, the shear modulus is a measure of rigidity. Shear modulus is
Superhard_material
Degree to which a material under stress irreversibly deforms before failure
the relevant elastic modulus is Young's; the equivalent for deforming under bulk compression, i.e. when using the bulk modulus, is malleability. Historically
Ductility
American musical instrument manufacturer
Modulus Graphite (formerly, Modulus Guitars) is an American manufacturer of musical instruments best known for building bass guitars with carbon fiber
Modulus_Guitars
Size of a set in mathematics
In mathematics, cardinality is an inherent property of sets, roughly meaning the number of individual objects they contain, which may be infinite. The
Cardinality
Component of stress coplanar with a material cross section
the shear modulus of the isotropic material, given by G = E 2 ( 1 + ν ) . {\displaystyle G={\frac {E}{2(1+\nu )}}.} Here, E is Young's modulus and ν is
Shear_stress
Inflated ball used for basketball games
just snapping under the tension, and it is lightweight. It has a tensile modulus of 3,103 MPa. This means that it resists stretching, making it a stiff
Basketball_(ball)
Electronic circuit
through the feedback loop of the system. The modulus of a prescaler is its frequency divisor. A dual-modulus prescaler has two separate frequency divisors
Dual-modulus_prescaler
Technique used to study & characterize materials
complex modulus. The temperature of the sample or the frequency of the stress are often varied, leading to variations in the complex modulus; this approach
Dynamic_mechanical_analysis
Major tissue that makes up part of the tooth in humans and many animals
stiffness parallel to the rod axis results in high hardness and modulus, shown to have modulus values of 85–90 GPa (12.3–13.1 million pounds per square inch)
Tooth_enamel
Species of gastropod
G.E. Beer, Lipsiae Petit de la Saussaye S. (1853). Notice sur le genre Modulus, avec la liste des espèces appartenant à ce genre. Journal de Conchyliologie
Indomodulus_tectum
Step in the process of designing physical objects
lightness, for a rod that will be pulled in tension the specific modulus, or modulus divided by density E / ρ {\displaystyle E/\rho } should be considered
Material_selection
dislocation motion within the material. Common in Crystals. Specific modulus: Modulus per unit volume (MPa/m^3) Specific strength: Strength per unit density
List_of_materials_properties
Species of gastropod
sedis Family: Modulidae Genus: Trochomodulus Species: T. calusa Binomial name Trochomodulus calusa (Petuch, 1988) Synonyms Modulus calusa Petuch (1988)
Trochomodulus_calusa
Chemical process by which polymeric materials are hardened
elastic modulus. To measure the elastic modulus of a system during curing, a rheometer can be used. With dynamic mechanical analysis, the storage modulus (G′)
Curing_(chemistry)
Medical imaging methodology
with the shear modulus (G), which quantifies tissue stiffness and elasticity and is typically expressed in kilopascals. The shear modulus is derived using
Shear_wave_elastography
Polymer with rubber-like elastic properties
elasticity) and with weak intermolecular forces, generally low Young's modulus (E) and high failure strain compared with other materials. The term, a
Elastomer
Degree to which part of a structural element is displaced under a given load
beam) is interpreted as its curvature, E {\displaystyle E} is the Young's modulus, I {\displaystyle I} is the area moment of inertia of the cross-section
Deflection_(engineering)
Identifier for a security
3 + 8 + 3 + 0) = 45 Take the 10s modulus of the sum: 45 mod 10 = 5 Subtract from 10: 10 − 5 = 5 Take the 10s modulus of the result (this final step is
International Securities Identification Number
International_Securities_Identification_Number
Aluminum alloy with lithium, copper and magnesium
developed as a replacement to 2114 and 2024 alloys and has a higher elastic modulus and lower density. Aluminium 8090 is used in aerospace applications due
8090_aluminium_alloy
In geometry, property of being directionally dependent
an isotropic material, G=E/[2(1+ν)], where G is the shear modulus, E is the Young's modulus, and ν is the material's Poisson's ratio. Therefore, for cubic
Anisotropy
intermediate values. Fineness modulus of combined aggregates is always between the Fineness modulus of aggregates and combined modulus coarse aggregate have intermediate
Fineness_modulus
Method to characterize materials
measures the resonant frequencies in order to calculate the Young's modulus, shear modulus, Poisson's ratio and internal friction of predefined shapes like
Impulse_excitation_technique
works with the conformal modulus of Γ, the reciprocal of the extremal length. The fact that extremal length and conformal modulus are conformal invariants
Extremal_length
Sudden change in shape of a structural component under load
by the use of the tangent modulus of elasticity, Et, which is less than the elastic modulus, in place of the elastic modulus of elasticity. The tangent
Buckling
Property of materials with both viscous and elastic characteristics under deformation
dynamic modulus G can be used to represent the relations between the oscillating stress and strain: G=G′+iG″ where i2=−1; G′ is the storage modulus and G″
Viscoelasticity
Sequence of points that get progressively closer to each other
|x_{m}-x_{n}|<1/k.} Any sequence with a modulus of Cauchy convergence is a Cauchy sequence. The existence of a modulus for a Cauchy sequence follows from the
Cauchy_sequence
Species of gastropod
carchedonius Binomial name Trochomodulus carchedonius (Lamarck, 1822) Synonyms Modulus carchedonius (Lamarck, 1822) Monodonta carchedonius Lamarck, 1822 (original
Trochomodulus_carchedonius
lattice and negative metamaterials (e.g., negative bulk modulus or negative elastic modulus) are ripe followed by origami and cellular metamaterials
Mechanical_metamaterial
Logarithmic distance scale
Large Magellanic Cloud (LMC) is at a distance modulus of 18.5, the Andromeda Galaxy's distance modulus is 24.4, and the galaxy NGC 4548 in the Virgo Cluster
Distance_modulus
Pressure surge when a fluid is forced to stop or change direction suddenly
bulk modulus of elasticity of the system fluid–pipe, ρ = density of the fluid, K = bulk modulus of elasticity of the fluid, E = elastic modulus of the
Hydraulic_shock
Integer that is a perfect square modulo some integer
modulo any power of p if and only if it is a residue modulo p. If the modulus is pn, then pka is a residue modulo pn if k ≥ n is a nonresidue modulo
Quadratic_residue
modulus of convexity and the characteristic of convexity are measures of "how convex" the unit ball in a Banach space is. In some sense, the modulus of
Modulus and characteristic of convexity
Modulus_and_characteristic_of_convexity
Mexican banking standard
digits. The control digit is calculated as the modulus 10 of 10 minus the modulus 10 of the sum of the modulus 10 of the product of the first 17 digits by
CLABE
Measure of how heavy or light a petroleum liquid is compared to water
been manufactured and distributed widely with a modulus of 141.5 instead of the Baumé scale modulus of 140. The scale was so firmly established that
API_gravity
Complex-valued arithmetic function
Dirichlet characters that includes the modulus. In many contexts (such as in the proof of Dirichlet's theorem) the modulus is fixed. In other contexts, such
Dirichlet_character
Measure of the strength of a road subgrade
strength of the material and are not a true representation of the resilient modulus.[citation needed] The CBR is the ratio of the bearing load that penetrates
California_bearing_ratio
Theorem in harmonic analysis
states that the integral of a function's squared modulus is equal to the integral of the squared modulus of its frequency spectrum. That is, if f ( x )
Plancherel_theorem
Alloys with high proportions of several metals
properties. Both values of hardness and related moduli like reduced modulus (Er) or elastic modulus (E) will significantly increase through the magnetron sputtering
High-entropy_alloy
Measure of a material's resistance to localized plastic deformation
small-scale shear modulus in any direction, not to any rigidity or stiffness properties such as its bulk modulus or Young's modulus. Stiffness is often
Hardness
Mathematical theorem
fractional ideals of L prime to c. Such a modulus c is called a defining modulus for L/K. The smallest defining modulus is called the conductor of L/K and typically
Artin_reciprocity
Alloy used for soldering
cooling, and shows slight shrinkage in couple hours afterwards. The Young's Modulus is approximately 2.5 million psi (17.24 GPa) Johnson Manufacturing Co,
Cerrolow_136
Dimensionless number used in journal bearing design
Bearing modulus is a modulus used in journal bearing design. It is a dimensionless number. Bearing Modulus (C) is C = (Zn/p) where Z = oil viscosity n
Bearing_modulus
Angle of complex number about real axis
for some positive real r (see Euler's formula). The quantity r is the modulus (or absolute value) of z, denoted |z|: r = x 2 + y 2 . {\displaystyle r={\sqrt
Argument_(complex_analysis)
Property determining comparison and ordering
any number x {\displaystyle x} is usually called its absolute value or modulus, denoted by | x | {\displaystyle |x|} . The absolute value of a real number
Magnitude_(mathematics)
zero-autocorrelation waveform (CAZAC) is a periodic complex-valued signal with modulus one and out-of-phase periodic (cyclic) autocorrelations equal to zero.
Constant-amplitude zero-autocorrelation waveform
Constant-amplitude_zero-autocorrelation_waveform
Type of seismic wave
+2\mu \;}{\rho }}}} where K is the bulk modulus (the modulus of incompressibility), μ is the shear modulus (modulus of rigidity, sometimes denoted as G and
P_wave
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