The influence of boundary conditions on optimal shape of annular disk with respect to ductile creep rupture time

This article deals with the influence of boundary conditions on the optimal shape of a rotating, axisymmetric annular disk of given volume that maximizes the ductile creep rupture time. The finite strain theory and physical law in form of Norton's law generalized for true stresses and logarithmic strains are applied. The optimal shape is found using parametric optimization. The initial shape of the disk is defined by class of polynomial function.

► The influence of boundary conditions on the optimal shape of disk is investigated.
► The ductile rupture theory is applied.
► The finite strain theory and Norton's law for true stresses are used.
► The initial shape of the disk is defined by the polynomial function.