Micropolar elastic fields due to a circular cylindrical inclusion

摘要

As a fundamental element of a systematic study on micromechanics of micropolar media with defects, this paper is concerned with a micropolar inclusion problem for the typical case of an infinitely long circular cylindrical inclusion. The micropolar Eshelby tensors, as previously defined by Cheng and He [Int. J. Engng Sci., 1995, 33, 389] are obtained in an exact closed form for the problem. It is observed that the micropolar Eshelby tensors are size-dependent both for the inside and for the outside of the circular cylinder. As a limit, where classical elasticity is degenerated from micropolar elasticity, the classical Eshelby tensor is recovered as a special case of the micropolar Eshelby tensors. The Colonnetti's theorem in classical elasticity is extended to micropolar elasticity and the elastic strain energy caused by a circular cylindrical inclusion is presented.