Journal of Elasticity

, Volume 86, Issue 3, pp 245–261 | Cite as

Design of a Laminated Plate Possessing the Required Stiffnesses Using the Minimum Number of Materials and Layers

  • A. A. Kolpakov


This paper deals with the problem of the design of a laminated plate possessing the required set of stiffnesses under the condition of using the minimum number of layers and minimum number of materials. It is shown that the minimum number of layers is not more than four and the minimum number of materials is not more than two. We consider the case when three types of stiffness (bending, in-plane and out-of-plane) are prescribed and the case when two types of stiffness (physical bending and in-plane) are prescribed. It is proved that for both cases the sets of the possible values of physical stiffnesses are the same but the sets of designs can be different. A design algorithm is developed.

Key words

design laminated plate minimum number of layers minimum number of materials physical stiffnesses neutral plane 

Mathematics Subject Classifications (2000)

74B05 74K20 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Novosibirsk State UniversityNovosibirskRussia

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