关键词: Eshelby问题, 迭代法, 非均匀, 格林函数, 特征应变

Abstract: This paper presents an exact closedform solution and a simple iteration method for polygonal inhomogeneity in anisotropic full planes. Based on the equivalent bodyforce concept of eigenstrain, the induced elastic fields are first expressed in terms of the line integral on the boundary of the inclusion with the integrand being the Green’s functions. The exact closedform solutions are then applied to a polygonal wire within an anisotropic fullplane. Using the iteration method we have developed, we compute the inner elastic fields of a squareshaped and a triangleshaped wire within an anisotropic fullplane, and compare them with the results obtained with boundary element method (BEM). The results show that they are close to each other.

Key words: eigenstrain, Eshelby problem, Green’s function, inhomogeneity, iteration method