A Finite Element Analysis of Optimal Variable Thickness Sheets

Joakim S Petersson

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    A quasimixed Finite Element (FE) method for maximum stiffness of variablethickness sheets is analysed. The displacement is approximated with ninenode Lagrange quadrilateral elements and the thickness is approximated aselementwise constant. One is guaranteed that the FE displacement solutionswill converge, but in an example it is shown that, in general,one cannot expect any subsequence of the FE thickness solutions to converge.However, under a regularity and biaxiality assumptionon the optimal stress field, uniqueness of the optimal thickness function aswell as convergence of FE thickness solutions are proven.
    Original languageEnglish
    Number of pages21
    Publication statusPublished - 1996

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