Optimal design of midsurface of shells: Differentiability proof and sensitivity computation
type: Item
instance of: scholarly article
title: Optimal design of midsurface of shells: Differentiability proof and sensitivity computation
zbMATH Open document ID: 0626.73097
DOI: 10.1007/BF01442187
author: D. Chenais
published in: Applied Mathematics and Optimization
publication date: 1987-01-01T00:00:00Z
review text: 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 \textit{J. Kruzelecki} and \textit{M. Zyczkowski} [Solid Mech. Arch. 10, 101-170 (1985; Zbl 0567.73092)].
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 4018548
zbMATH Keywords: optimal design
zbMATH Keywords: midsurface
zbMATH Keywords: gradient of the objective function
reviewed by: Stefan Jendo
MaRDI profile type: Publication
cites work: Q4746527
cites work: A study of three-node triangular plate bending elements
cites work: An explicit formulation for an efficient triangular plate-bending element
cites work: Q3962599
cites work: Q4128127
cites work: Q4749148
cites work: Q5615316
description: scientific article; zbMATH DE number 4018548