An investigation of elastic field created by randomly distributed inclusions

Abstract

In this paper, the elastic field created by randomly distributed inclusions is studied. The inclusions are considered to be randomly distributed in the material, and have random orientation and size. The random point field model is proposed to describe the randomness of inclusion position, orientation and size. As a special case, when phase transformation inclusions are uniformly distributed in the material, and have non-random orientation, the theory gives the same result as Mori and Tanaka (1973. Acta Metallurgica 21, 571). The elastic field created by randomly distributed dislocation loops is also considered in some detail, and it is found that the continuum theory of dislocation loops is applicable only when the size of the dislocation loop becomes infinitesimal. © 1989.