General image method in a plane-layered elastostatic medium. (English) Zbl 0673.73025

Fares, N.; Li, V. C.

J. Appl. Mech. 55, No. 4, 781-785 (1988).

A general image method used to obtain elastostatic fields in plane- layered media has been presented. The image method relies on using potentials to represent elastic fields. For the case of a single interface, the image method gives the displacement fields in closed form, and can be applied to antiplane, plane, and three-dimensional problems. For the case of multiple interfaces, the image method gives the displacement fields in terms of infinite series. The convergence of the series can be accelerated which improves the efficiency of the method.

MSC:

74S30

Other numerical methods in solid mechanics (MSC2010)

Keywords:

elastostatic fields; potentials; single interface; displacement fields in closed form; multiple interfaces; displacement fields in terms of infinite series; convergence