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: Image File history File links Simple_shear. ... In physics and mechanics, shear refers to a deformation that causes parallel surfaces to slide past one another (as opposed to compression and tension, which cause parallel surfaces to move towards or away from one another). ... In engineering mechanics, deformation is a change in shape due to an applied force. ... This article is about velocity in physics. ...

V_x = f(x,y)

V_y = V_z = 0

And the gradient of velocity is perpendicular to it: In the above two images, the scalar field is in black and white, black representing higher values, and its corresponding gradient is represented by blue arrows. ...

,

where is the shear rate and: Shear rate is a measure of the rate of shear deformation. ...

The deformation gradient tensor Γ for this deformation has only one non-zero term: In continuum mechanics, finite deformation tensors are tensors that are used to measure deformation. ...

Simple shear with the rate is the combination of pure shear strain with the rate of and rotation with the rate of : The strain tensor [ε] is a symmetric tensor used to quantify the strain of an object undergoing a 3-dimensional deformation: the diagonal coefficients εii are the relative change in length in the direction of the i direction (along the xi-axis) ; the other terms εij (i ≠ j) are the... Rotation of a plane, seen as the rotation of the terrain relative to the plane (exposure time 1. ...

An important example of simple shear is laminar flow through long channels of constant cross-section (Poiseuille flow). laminar and turbulent water flow over the hull of a submarine In fluid dynamics, laminar flow is a flow regime characterized by high momentum diffusion, low momentum convection, and pressure and velocity independence from time. ... Laminar flow (bottom of pic) and turbulent flow (top of pic) over a submarine hull. ...