Nonlinear finite element analysis of lattice core sandwich beams
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Nonlinear finite element analysis of lattice core sandwich beams. / Nampally, Praneeth; Karttunen, Anssi T.; Reddy, J. N.
In: European Journal of Mechanics, A/Solids, Vol. 74, 01.03.2019, p. 431-439.Research output: Contribution to journal › Article › Scientific › peer-review
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TY - JOUR
T1 - Nonlinear finite element analysis of lattice core sandwich beams
AU - Nampally, Praneeth
AU - Karttunen, Anssi T.
AU - Reddy, J. N.
N1 - | openaire: EC/H2020/745770/EU//SANDFECH
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
KW - Constitutive modeling
KW - Finite element
KW - Geometric nonlinearity
KW - Lattice material
KW - Micropolar beam
KW - Nonlinear bending
UR - http://www.scopus.com/inward/record.url?scp=85059822333&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2018.12.006
DO - 10.1016/j.euromechsol.2018.12.006
M3 - Article
VL - 74
SP - 431
EP - 439
JO - EUROPEAN JOURNAL OF MECHANICS A: SOLIDS
JF - EUROPEAN JOURNAL OF MECHANICS A: SOLIDS
SN - 0997-7538
ER -
ID: 31363704