On one model of a transversally isotropic elastic foundation

The method of expansion of the stress and displacement components into series in terms of functions of the transverse coordinate and the method of variation with respect to the state being determined are used to construct an iterative model of a transversally isotropic elastic foundation. This model allows for all the SSS components. The order of the equations does not depend on the number of terms of the expansions, which approximate the displacements and stresses. As an example, the problem on a concentrated force applied to an elastic foundation is considered. Pridneprovskaya State Academy of Building and Architecture, Dnepropetrovsk, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 36, No. 6, pp. 130–134, June, 2000.