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Minimum compliance design of laminated plates. (English) Zbl 0897.73041
Cioranescu, Doina (ed.) et al., Homogenization and applications to material sciences. Proceedings of the international conference, Nice, France, June 6–10, 1995. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 9, 45-56 (1995).
Summary: The maximal stiffness design of laminated plates subjected to multiple loads is considered. The stiffnesses of the laminates are parametrized in terms of the so-called lamination parameters. These express the relation between the material parameters for the laminate and the laminate lay-up and are given as moments of the trigonometric functions that appear in the well-known rotation formulas for stiffness matrices. The design problem is analyzed by performing a reformulation to an equivalent problem which is local in character, and it is shown how this, together with an enlargement of the design space to allow for chattering designs, leads to a significant simplification of the problem.
For the entire collection see [Zbl 0873.00028].
74P99 Optimization problems in solid mechanics
74E30 Composite and mixture properties
74K20 Plates