Solutions of Multilayer Inclusion Problems under Uniform Field

In this paper, a general solution of an n-layer inclusion problem in a limited region is obtained for the first time. The solutions of three-layer inclusion problems in a limited region under uniform strain field and under uniform stress field are given also. These solutions with undetermined constants are all expressed in closed form. The validity of these solutions is verified by numerical examples of several special cases. These solutions will enable us to study various stress distributions and elastic behavior of concrete materials in microscale.