Simple Shear in Solid Mechanics
In solid mechanics, a simple shear deformation is defined as an isochoric plane deformation in which there are a set of line elements with a given reference orientation that do not change length and orientation during the deformation. This deformation is differentiated from a pure shear by virtue of the presence of a rigid rotation of the material.
If is the fixed reference orientation in which line elements do not deform during the deformation and is the plane of deformation, then the deformation gradient in simple shear can be expressed as
We can also write the deformation gradient as
Read more about this topic: Simple Shear
Famous quotes containing the words simple, solid and/or mechanics:
“But the whim we have of happiness is somewhat thus. By certain valuations, and averages, of our own striking, we come upon some sort of average terrestrial lot; this we fancy belongs to us by nature, and of indefeasible rights. It is simple payment of our wages, of our deserts; requires neither thanks nor complaint.... Foolish soul! What act of legislature was there that thou shouldst be happy? A little while ago thou hadst no right to be at all.”
—Thomas Carlyle (1795–1881)
“Our Constitution ... was not a perfect instrument, it is not perfect yet; but it provided a firm base upon which all manner of men of all races, colors and creeds could build our solid structure of democracy.”
—Franklin D. Roosevelt (1882–1945)
“It is only the impossible that is possible for God. He has given over the possible to the mechanics of matter and the autonomy of his creatures.”
—Simone Weil (1909–1943)