This paper shows a generalization of the classic isotropic plasticity
theory to be applied to orthotropic or anisotropic materials. This app
roach assumes the existence of a real anisotropic space, and other fic
titious isotropic space where a mapped fictitious problem is solved. B
oth spaces are related by means of a linear transformation using a fou
rth order transformation tenser that contains all the information conc
erning the real anisotropic material, The paper describes the basis of
the spaces transformation proposed and the expressions of the resulti
ng secant and tangent constitutive equations. Also details of the nume
rical integration of the constitutive equation are provided. Examples
of application showing the good performance of the model for analysis
of orthotropic materials and fibre-reinforced composites are given.