Simple shear displaces one coordinate direction in proportion to a transverse coordinate while preserving volume. Its deformation gradient has a single off-diagonal component . Simple shear flow describes the corresponding velocity field rather than the finite deformation.
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Simple shear is a type of deformation that occurs in materials when they are subjected to shear stress. In this mode of deformation, layers of material slide past each other while the overall volume remains constant. It is characterized by the parallel displacement of adjacent layers, which results in an angular distortion of the material. In a simple shear scenario, one side of an object is moved in one direction while the opposite side is held in place or moved in the opposite direction, creating a shear strain.