Buckling analysis of layered composite beams with interlayer slip: A force-based finite element formulation. (June 2020)

• Record Type: Journal Article
• Authors: Santos, H.A.F.A.
• Is Part Of: Structures. Volume 25(2020)
• Page Start: 542
• Page End: 553
• Publication Date: 2020-06
• Subjects: Layered beams -- Buckling analysis -- Timoshenko theory -- Partial interaction -- Complementary energy -- Finite elements; Structural engineering -- Periodicals; 624.1
• DOI: 10.1016/j.istruc.2020.03.002
• Languages: English
• ISSNs: 2352-0124

Abstract

Abstract: A force-based finite element formulation for the buckling analysis of two-layer composite beam structures with partial interaction is presented. The geometrically nonlinear beam elements possess a single flexible shear interface and each layer is modelled by means of Timoshenko's theory. The formulation relies on a hybrid variational principle of complementary energy only involving force/moment-like variables as fundamental unknown fields. The approximate field variables are selected such that all equilibrium differential equations are satisfied in strong form. The inter-element equilibrium, as well as Neumann boundary conditions are enforced by means of the Lagrangian-multiplier method. The accuracy and effectiveness of the proposed formulation is demonstrated through the analysis of several numerical tests.