Multiobjective Shape Optimization of the Rigid Shell Moving into a Condensed Media

The problem of optimization of rigid bodies moving in the deformable media is considered. The shape of the axisymmetric impactors has been taken as an unknown design variable. The total resistance force, the mass of material, and the volume are taken as components of the minimized vector functional. The formulated multiobjective minimization problem for the vector functional is investigated analytically. As an example, the Pareto-optimal set of optimal shape and the Pareto front are found for the rigid thin-walled axisymmetric shells having the minimum total resistance force and the mass of the shell material.

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