Surrogate POD Models for Parametrized Sheet Metal Forming Applications
The aim of this work is to present a POD (Proper Orthogonal Decomposition) based surrogate approach for sheet metal forming parametrized applications. The final displacement field for the stamped work-piece computed using a finite element approach is approximated using the method of snapshots for POD mode determination and kriging for POD coefficients interpolation. An error analysis, performed using a validation set, shows that the accuracy of the surrogate POD model is excellent for the representation of finite element displacement fields. A possible use of the surrogate to assess the quality of the stamped sheet is considered. The Green-Lagrange strain tensor is derived and forming limit diagrams are computed on the fly for any point of the design space. Furthermore, the minimization of a cost function based on the surrogate POD model is performed showing its potential for solving optimization problems.
Ricardo Alves de Sousa and Robertt Valente
H. Mohamed et al., "Surrogate POD Models for Parametrized Sheet Metal Forming Applications", Key Engineering Materials, Vols. 554-557, pp. 919-927, 2013