Continuum theory of internal stresses in amorphous metals

Abstract

Within the framework of the local linearised theory of elasticity, internal stresses in amorphous metals have been calculated using a Green function perturbation approach based on the incompatibility method. A simple model is introduced to describe the development of structural incompatibilities during the quenching process of the liquid metal, which are the sources for the internal stresses. The results are compared with those for the atomic-level stresses obtained with computer simulation studies by Egami and co-workers (1982), and with the results derived by these authors from a continuum theory based on Eshelby's inclusion problem (1957).