Green function for a layer with rigidly fixed bases

The Green function for a layer with rigidly fixed bases is constructed by using the two-dimensional Fourier integral transformation. The singular part is presented in the closed form. The terms taking into account the influence of the boundaries of the layer are presented in the form of improper integrals of exponentially decreasing functions. The numerical analysis is performed for one component of the Green matrix under the action of a concentrated force at a point of the layer noncentral across the thickness. __________ Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 44, No. 4, pp. 39–42, July–August, 2008.