Nonlinear finite element analysis of lattice core sandwich beams

Praneeth Nampally, Anssi T. Karttunen*, J. N. Reddy

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)
9 Downloads (Pure)


A geometrically nonlinear finite element model is developed for the bending analysis of micropolar Timoshenko beams using the principle of virtual displacements and linear Lagrange interpolation functions. The nonlinearity enters the model via a nonlinear von Kármán strain term that allows the micropolar beam to undergo moderate rotations. The nonlinear micropolar Timoshenko beam is used as an equivalent single layer model to study four different lattice core sandwich beams. A two-scale energy method is used to derive the micropolar constitutive equations for web, hexagonal, Y-frame and corrugated core topologies. Various bending cases are studied numerically using the developed 1-D finite element model. Reduced integration techniques are used to overcome the shear and membrane locking. The present 1-D results are in good agreement with the corresponding 2-D finite element beam frame results for global bending.

Original languageEnglish
Pages (from-to)431-439
Number of pages9
JournalEuropean Journal of Mechanics, A/Solids
Early online date27 Dec 2018
Publication statusPublished - 1 Mar 2019
MoE publication typeA1 Journal article-refereed


  • Constitutive modeling
  • Finite element
  • Geometric nonlinearity
  • Lattice material
  • Micropolar beam
  • Nonlinear bending


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