Nonlinear finite element analysis of lattice core sandwich beams

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 -