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On displacement-based theories of sandwich plates with soft core

✍ Scribed by T. Lewiński

Publisher
Springer
Year
1991
Tongue
English
Weight
859 KB
Volume
25
Category
Article
ISSN
0022-0833

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✦ Synopsis

The paper is concerned with a family of refined models of elastic sandwich plates with soft core. Construction of this family is based upon the kinematic assumptions of Dundrovfi, Kovafik and Slapfik [4]. The model energy-consistent with this hypothesis turns out to be nonelliptic. However, this model makes it possible to find a generalization of Hoff's [7] model in which transverse normal deformations of the core are partly considered. A proof is given that both this and Hoff's model is correctly stated irrespective of the choice of fields that describe the angles of rotation of the plate cross-sections. On the other hand, in the model of Reissner [18] this flexibility is lost and only one choice of fields standing for rotations is admissible -namely that in which the assumptions of the Lax-Milgram lemma are fulfilled.

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