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.

Number of pages | 21 |
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Publication status | Published - 1996 |
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