What is the strain ellipsoid?
The strain ellipsoid, which was first used in geology by Harker (1886) and Becker (1893) and has been discussed by Leith (1937), is a geometric representation of the three-dimensional strain that develops during a homogeneous deformation. To visualize a strain ellipsoid, one can imagine a sphere embedded in a rock.
What is the name of a stress condition where the stress ellipsoid is a perfect sphere?
An isotropic state of stress is where all three principal stresses are equal in magnitude. The ellipsoid is actually a sphere in this case.
What is K in Flinn diagram?
The shape of the strain ellipsoid is expressed by the shape factor (k).
What is Deviatoric stress geology?
[¦dēv·ē·ə¦tȯr·ik ′stres] (geology) A condition in which the stress components operating at a point in a body are not the same in every direction. Also known as differential stress.
Is an ellipsoid a sphere?
A spheroid, or ellipsoid, is a sphere flattened at the poles. The shape of an ellipse is defined by two radii.
What is ellipsoid GIS?
ellipsoid. [Euclidean geometry] A three-dimensional, closed geometric shape, all planar sections of which are ellipses or circles. An ellipsoid has three independent axes, and is usually specified by the lengths a,b,c of the three semi-axes.
What is a plane strain?
Plane strain A stress condition in linear elastic fracture mechanics in which there is zero strain in the direction normal to the axis of applied tensile stress and direction of crack growth. It is achieved in thick plate, along a direction parallel to the plate.
What is the difference between pure shear and simple shear?
For soft materials, such as rubber, a strain state of pure shear is often used for characterizing hyperelastic and fracture mechanical behaviour. Pure shear is differentiated from simple shear in that pure shear involves no rigid body rotation. which has only shearing components.
What are hydrostatic and deviatoric stresses?
Hydrostatic and deviatoric components The stress tensor can be separated into two components. One component is a hydrostatic or dilatational stress that acts to change the volume of the material only; the other is the deviatoric stress that acts to change the shape only.
What is Deviatoric stress in solid materials?
Deviatoric stress is what’s left after subtracting out the hydrostatic stress. The deviatoric stress will be represented by σ′ . For example. σ′=σ−σHyd.