Nonlinear finite element analysis of lattice core sandwich beams

abstract

• 2018 Elsevier Masson SAS 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 Krmn 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.

authors

• Reddy, Junuthula

published proceedings

• EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

altmetric score

• 0.25

author list (cited authors)

• Nampally, P., Karttunen, A. T., & Reddy, J. N.

citation count

• 24

complete list of authors

• Nampally, Praneeth||Karttunen, Anssi T||Reddy, JN

publication date

• March 2019

publisher

• Elsevier  Publisher

published in

• European Journal of Mechanics, A/Solids  Journal

keywords

• Constitutive Modeling
• Finite Element
• Geometric Nonlinearity
• Lattice Material
• Micropolar Beam
• Nonlinear Bending

Digital Object Identifier (DOI)

• 10.1016/j.euromechsol.2018.12.006

start page

• 431

end page

• 439

volume

• 74

URL

• http://dx.doi.org/10.1016/j.euromechsol.2018.12.006