The number of independent invariants of an n-preferred direction anisotropic solid

Abstract

Sets of classical invariants are used to characterize the mechanical behaviour of elastic solids with preferred directions. In this paper, we prove, for an n-preferred direction anisotropy, that only [Formula: see text] classical invariants are independent. For [Formula: see text], we show that only six strain and [Formula: see text] non-strain invariants are independent.