Micropolar modeling approach for periodic sandwich beams

Anssi T. Karttunen*, J. N. Reddy, Jani Romanoff

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

26 Citations (Scopus)
35 Downloads (Pure)

Abstract

A micropolar Timoshenko beam formulation is developed and used to model web-core sandwich beams. The beam theory is derived by a vector approach and the general solution to the governing sixth-order equations is given. A nodally-exact micropolar Timoshenko beam finite element is derived using the solution. Bending and shear stiffness coefficients for a web-core sandwich beam are determined through unit cell analysis, where the split of the shear forces into symmetric and antisymmetric parts plays a pivotal role. Static bending of web-core beams is studied using the micropolar model as well as modified couple-stress and classical Timoshenko beam models. The micropolar 1-D results are in best agreement with 2-D web-core beam frame results. This is because the micropolar beam allows antisymmetric shear deformation to emerge at locations where the 2-D web-core deformations cannot be reduced to 1-D by considering only symmetric shear behavior.

Original languageEnglish
Pages (from-to)656-664
Number of pages9
JournalComposite Structures
Volume185
DOIs
Publication statusPublished - 1 Feb 2018
MoE publication typeA1 Journal article-refereed

Keywords

  • Finite element
  • General solution
  • Micropolar
  • Sandwich structures
  • Timoshenko beam

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