On the nature of deformation of a crystalline solid: II. the absolute strain rate in elastic deformation

Abstract

Elastic deformation process in a crystalline solid is consideredab initio in terms of an idealized model. It is shown that the apparent time invariance of strain in a semi-infinite solid deformed at a surface velocityv is the result of neglecting to take into account the discrete nature of the deformation process. An absolute strain rate, έ0 =v/d, whered is the interplanar spacing in the direction of deformation, can be rigorously derived. It is also shown that the same absolute deformation rate governs the deformation behavior in an infinite plate specimen, thus permitting unified treatment of infinite and finite length specimen deformation.