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Encyclopedia > Shear modulus  Shear strain

In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is defined as the ratio of shear stress to the shear strain: The Materials Science Tetrahedron, which often also includes Characterization at the center Materials science or Materials Engineering is an interdisciplinary field involving the properties of matter and its applications to various areas of science and engineering. ... Shear stress is a stress state where the stress is parallel or tangential to a face of the material, as opposed to normal stress when the stress is perpendicular to the face. ... Shear strain is a strain that acts parallel to the face of a material that it is acting on. ... $G stackrel{mathrm{def}}{=} frac {sigma_{xy}} {epsilon_{xy}} = frac{F/A}{Delta x/h} = frac{F h}{Delta x A}$

where $sigma_{xy} = F/A ,$ = shear stress;
F is the force which acts
A is the area on which the force acts $epsilon_{xy} = Delta x/h = tan theta ,$ = shear strain;
Δx is the transverse displacement
h is the initial length (labelled I in the diagram opposite)

Shear modulus is usually measured in GPa (gigapascals) or ksi (thousands of pounds per square inch). For other uses, see Pascal. ...

Material Typical values for
shear modulus (GPa)
(at room temperature)
Diamond 478.
Steel 79.3
Copper 63.4
Titanium 41.4
Glass 26.2
Aluminium 25.5
Polyethylene 0.117
Rubber 0.0006

## Contents

The shear modulus is one of several quantities for measuring the strength of materials. All of them arise in the generalized Hooke's law: Hookes law accurately models the physical properties of common mechanical springs for small changes in length. ...

• Young's modulus describes the material's response to linear strain (like pulling on the ends of a wire),
• the bulk modulus describes the material's response to uniform pressure, and
• the shear modulus describes the material's response to shearing strains. Influences of selected glass component additions on the shear modulus of a specific base glass.

## Waves

In homogeneous and isotropic solids, there are two kinds of waves, pressure waves and shear waves. The velocity of a shear wave, (vs) is controlled by the shear modulus, Isotropic means independent of direction. Isotropic radiation has the same intensity regardless of the direction of measurement, and an isotropic field exerts the same action regardless of how the test particle is oriented. ... Plane P-wave Representation of the propagation of a P-wave on a 2d grid (empirical shape) One of the two types of elastic body waves (named because they travel through the body of the Earth) that are produced by earthquakes and recorded by seismometers. ... A type of seismic wave, the S-wave moves in a shear or transverse wave, so motion is perpendicular to the direction of wave propagation. ... $v_s = sqrt{frac {G} {rho} }$

where

G is the shear modulus
ρ is the solid's density.

For other uses, see Density (disambiguation). ...

Shear stress is a stress state where the stress is parallel or tangential to a face of the material, as opposed to normal stress when the stress is perpendicular to the face. ... Shear strain is a strain that acts parallel to the face of a material that it is acting on. ... Shear strength in engineering is a term used to describe the strength of a material or component against the type of yield or structural failure where the material or component fails in shear. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... Hookes law accurately models the physical properties of common mechanical springs for small changes in length. ... // The impulse excitation technique is a nondestructive test method that uses natural frequency, dimensions and mass of a test-piece to determine Youngs modulus, Shear modulus, Poissons ratio and damping coefficient. ... Results from FactBites:

 Shear modulus - Wikipedia, the free encyclopedia (210 words) Shear modulus is usually measured in ksi (thousands of pounds per square inch) or GPa (gigapascals). The shear modulus is one of several quantities for measuring the strength of materials. Young's modulus describes the material's response to linear strain (like pulling on the ends of a wire), the bulk modulus describes the material's response to uniform pressure, and the shear modulus describes the material's response to shearing strains.
More results at FactBites »

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