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Optimal design of midsurface of shells: Differentiability proof and sensitivity computation. (English) Zbl 0626.73097
The paper deals with optimal design of the midsurface of shells with special emphasis on calculation of the gradient of the objective function. It has been assumed that criteria of optimization depend on the midsurface shape directly and also through the displacement field. This second assumption is not conventional and in the reviewer’s opinion it is incorrect. The displacements of certain points or regions might be the optimization criteria themself. The physical meaning of the optimization criteria applied in the paper are not discussed. The paper has a cognizable character, but it is far from technical applications.
The author ignores all previous results obtained in the area of optimal shell design. The state-of-the-art paper in this area was written by J. Kruzelecki and M. Zyczkowski [Solid Mech. Arch. 10, 101-170 (1985; Zbl 0567.73092)].
Reviewer: St.Jendo

74P99 Optimization problems in solid mechanics
49K40 Sensitivity, stability, well-posedness
74K15 Membranes
Full Text: DOI
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