MICROPOLAR ELASTIC FIELDS DUE TO A CIRCULAR CYLINDRICAL INCLUSION

As a fundamental element of a systematic study on micromechanics of mi cropolar 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 obtain ed in an exact closed form for the problem. It is observed that the mi cropolar Eshelby tensors are size-dependent both for the inside and fo r the outside of the circular cylinder. As a limit, where classical el asticity is degenerated from micropolar elasticity, the classical Eshe lby tensor is recovered as a special case of the micropolar Eshelby te nsors. The Colonnetti's theorem in classical elasticity is extended to micropolar elasticity and the elastic strain energy caused by a circu lar cylindrical inclusion is presented. (C) 1997 Elsevier Science Ltd.