1. Department of Mathematics, Northern Jiaotong University, Beijing 100044, P.R.China;2..Department of Mathematics, Taizhou Teacher’s College, Linhai 317000, P.R.China
Abstract:
Let the elastic body only be acted by gravity. By investigating the relations of bianalytic functions and biharmonic functions, the uniqueness and existence of the stress functions (Airy functions) are established in planar simple connected region. Moreover, the integral representation formula of the stress functions in the unit disk of the plane is obtained.