关键词: stress concentration factor, explicit expression, eccentric elliptical hole, central elliptical hole, tension finite-width strip, semi-analytical method

Abstract: Presenting some recent considerations and results, the present paper deals with two basic concepts of the continuum mechanics: strain-and stress-rates. Upon a brief systematic survey of concepts of strain and stress, a so far unknown explicit expression for the rate of the right stretch tensor is offered in absolute notation. This paper then suggests to distinguish two ways of defining objective stress-rates. Following the second procedure, after analyzing several particular cases, the author proposes a generalized Jaumann flux, which contains the majority of the existing definitions for stress-rate and the Hill’s result as well.

Key words: stress concentration factor, explicit expression, eccentric elliptical hole, central elliptical hole, tension finite-width strip, semi-analytical method