J. Lellep et J. Majak, OPTIMAL-DESIGN OF AXISYMMETRICAL PLASTIC SHALLOW SHELLS OF VON MISES MATERIAL, International journal of solids and structures, 32(24), 1995, pp. 3693-3705
An optimal design technique developed earlier for axisymmetric plates
and circular cylindrical shells is accommodated for shallow spherical
shells subjected to uniform transverse pressure. Material of the shell
s is assumed to be rigid-plastic obeying the von Mises yield condition
and the associated deformation law. The post-yield behaviour of the s
hells is taken into account, The weight minimization is performed unde
r the condition that the maximal deflection of the shell of variable t
hickness coincides with the deflection of the reference shell of const
ant thickness, The problem is transformed into a non-linear boundary v
alue problem which is solved numerically.