Investigation of the behavior of internal force factors in transversely isotropic plates under the action of local loads

Abstract

The paper deals with the problem of a transversely isotropic plate under action of a local power load. The load is distributed evenly and acts in the direction normal to the median plane of the plate. The dimensions of the local area are essentially smaller than the characteristic size of the plate. To solve this problem, we use the method of fundamental solutions and the convolution formula. Expressions for internal force factors obtained on the basis of the refined theory of {1,2}-approximation are considered. The influence of the elastic constants of a transversally isotropic material on internal force factors is analyzed.