Materials science

Plane (geometry)

Computer science

Physics

Mathematics

Image (mathematics)

Mathematical analysis

Geometry

Mechanics

Computer vision

Journal of Applied Mechanics

The general-image method presently used to obtain the elastostatic fields in plane-layered media relies on the use of potentials in order to represent elastic fields. For the case of a single interface, this method yields the displacement field in closed form, and is applicable to antiplane, plane, and three-dimensional problems. In the case of multiplane interfaces, the image method generates the displacement fields in terms of infinite series whose convergences can be accelerated to improve method efficiency.

General Image Method in a Plane-Layered Elastostatic Medium