Stochastic sensitivity in metal forming of rigid‐poroplastic materials

Stochastic sensitivity in metal forming process of rigid‐poroplastic material is analyzed. The theoretical formulation for stochastic sensitivity is described which presents probabilistic distributions taking into account random initial and boundary conditions. The stochastic equations for metal forming process as well as for stochastic sensitivities are presented. Stochastic finite element equations for rigid‐poroplastic materials are solved for the first two probabilistic moments. As the examples the sensitivity problems in the process of compression of rigid‐poroplastic ring with random material parameters are discussed. The differences in deterministic and stochastic sensitivities are presented. The results derived can be used for the subsequent quantitative stochastic design as well as stochastic optimization.