On Young’s Modulus for Anisotropic Media

Abstract

If a piece of homogeneous anisotropic elastic material is subject to simple tension along a direction n for which Young’s modulus E(n) is an extremum, then the corresponding strain field is coaxial with the simple tension stress field. An appropriate set of rectangular cartesian coordinate axes may be introduced such that three of the elastic compliances are zero. In this coordinate system the displacement field may be written explicitly and corresponds to a pure homogeneous deformation.