The three-dimensional problem of anisotropic evolution is formulated a
nd solved using the tools from optimal design. Basic assumptions are t
he principle of maximum energy dissipation and a function that relates
the damage, as measured by the rate of a constitutive matrix norm, to
an effective stress measure. The presentation relies on alternative d
escription for the 21 constitutive parameters and only restricts the c
onstitutive matrix to be semi-positive definite.