Nonlinear finite element analysis of lattice core sandwich beams

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2019-03-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
9
431-439
Series
European Journal of Mechanics, A/Solids, Volume 74
Abstract
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.
Description
| openaire: EC/H2020/745770/EU//SANDFECH
Keywords
Constitutive modeling, Finite element, Geometric nonlinearity, Lattice material, Micropolar beam, Nonlinear bending
Other note
Citation
Nampally , P , Karttunen , A T & Reddy , J N 2019 , ' Nonlinear finite element analysis of lattice core sandwich beams ' , European Journal of Mechanics, A/Solids , vol. 74 , pp. 431-439 . https://doi.org/10.1016/j.euromechsol.2018.12.006