Abstract

A thin elastic multilayered plate consisting of alternating hard and soft isotropic layers is studied. One of the face planes is subject to a normal pressure and the other face plane is free. A formula for the deflection of an infinite plate under a doubly periodic external force is delivered using asymptotic expansions. This formula is also applied for a rectangular plate with Navier boundary conditions on its edges. The maximal deflection is accepted as a measure of the plate stiffness. The purpose of the present paper is to obtain an expression for the plate deflection and find an optimal distribution of hard and soft layers assuming that their total thicknesses are given. The Monte Carlo method is used for finding the optimal distribution of layers.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
PublisherNational Technical University of Athens (NTUA)
Pages3423-3435
Number of pages13
Volume2
ISBN (Electronic)9786188284401
DOIs
Publication statusPublished - 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete
Duration: 4 Jun 20169 Jun 2016

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
CountryGreece
CityCrete
Period4/06/169/06/16

Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

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