MS_poisson
MS_POISSON - Poisson's ratio in anisotropic media.
Calculate Poisson's ration from an elsticity matrix.
nu = MS_poisson( C, m, n )
Usage:
nu = MS_poisson( C, m, n )
Calculate Poisson's ration for anisotropic media given an
elasticity matrix, C, longitudinal direction described by
a unit vector, n, and transverse direction given by the
unit vector m.
Notes:
Poisson's ratio, nu, is normally described as the negative ratio of
a (typically) compressive strain normal a direction of extensional
strain. In an isotropic material nu takes a single value between -1.0
an 0.5 (positive values around 0.2 or 0.3 are common). For the general
anisotropic case Poisson's ratio depends on the longitudinal extension
direction and the direction perpendicular to this (the transverse
direction) where the compression (positive nu) or extension (negative
nu) is measured. This function allows nu to be calculated as a function
of these two directions, given as unit vectors. The approach follows
equation 3 of Wojciechowski (2005)
Reference: Wojciechowski, K. W. (2005) "Poisson's ratio of anisotropic
systems" COMPUTATIONAL METHODS IN SCIENCE AND TECHNOLOGY 11, 73-79.
See also: MS_PHASEVELS