# Simple shear

Simple shear is a special case of deformation of a fluid where only one component of velocity vectors has a non-zero value:

$V_x=f\left(x,y\right)$

$V_y=V_z=0$

And the gradient of velocity is perpendicular to it:

$frac \left\{partial V_x\right\} \left\{partial y\right\} = dot gamma$,

where $dot gamma$ is the shear rate and:

$frac \left\{partial V_x\right\} \left\{partial x\right\} = frac \left\{partial V_x\right\} \left\{partial z\right\} = 0$

The deformation gradient tensor $Gamma$ for this deformation has only one non-zero term:

Simple shear with the rate $dot gamma$ is the combination of pure shear strain with the rate of $dot gamma over 2$ and rotation with the rate of $dot gamma over 2$:

An important example of simple shear is laminar flow through long channels of constant cross-section (Poiseuille flow).

Wikimedia Foundation. 2010.

### Look at other dictionaries:

• Shear rate — is the rate at which a shear is applied.imple ShearShear rate is defined using the following equation: dot gamma = frac { u} {h} Where:*gamma = The shear rate, measured in reciprocal seconds * u = The velocity, measured in metres per second *h =… …   Wikipedia

• Shear (geology) — Study of geological shear is related to the study of structural geology, rock microstructure or rock texture and fault mechanics. Shear is the response of a rock to deformation usually by compressive stress and forms particular textures. Shear… …   Wikipedia

• Shear — For similarly pronounced words, see sheer, Shere, or sher. Shear as a noun may refer to:*Bias (textile), in clothing design, fabric may be cut on the shear *Cosmic shear, an effect of distortion of image of distant galaxies due to deflection of… …   Wikipedia

• Shear and moment diagram — Shear and bending moment diagrams are analytical tools used in conjunction with structural analysis to help perform structural design by determining the value of shear force and bending moment at a given point of an element. Using these diagrams… …   Wikipedia

• Shear and moment diagrams — Shear and bending moment diagrams are analytical tools used in conjunction with structural analysis to help perform structural design by determining the value of shear force and bending moment at a given point of an element. Using these diagrams… …   Wikipedia

• Shear forming — Shear forming, also referred as shear spinning, is different from conventional metal spinning in that in this latter the area of the final component is approximately equal to that of the flat sheet metal blank and little or no reduction in the… …   Wikipedia

• Wind shear — Wind shear, sometimes referred to as windshear or wind gradient, is a difference in wind speed and direction over a relatively short distance in the atmosphere. Wind shear can be broken down into vertical and horizontal components, with… …   Wikipedia

• solids, mechanics of — ▪ physics Introduction       science concerned with the stressing (stress), deformation (deformation and flow), and failure of solid materials and structures.       What, then, is a solid? Any material, fluid or solid, can support normal forces.… …   Universalium

• Non-volcanic passive margins — (NVPM) constitute one end member of the transitional crustal types that lie beneath passive continental margins; the other end member being volcanic passive margins (VPM). Transitional crust welds continental crust to oceanic crust along the… …   Wikipedia

• Deformation (mechanics) — This article is about deformation in mechanics. For the term s use in engineering, see Deformation (engineering). Deformation in continuum mechanics is the transformation of a body from a reference configuration to a current configuration.[1] A… …   Wikipedia