Buckling of beams and coatings of finite width in bilateral frictionless contact with an elastic half-space. (1st October 2021)

• Record Type: Journal Article
• Authors: Baraldi, Daniele; Tullini, Nerio
• Is Part Of: International journal of solids and structures. Volume 228(2021)
• Publication Date: 2021-10-01
• Subjects: Beam -- Coatings -- Buckling -- Transversely isotropic elastic half-space -- Boussinesq solution -- Frictionless bilateral contact -- Mixed variational principle; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2021.111104
• Languages: English
• ISSNs: 0020-7683

Abstract

Highlights: Buckling of beams on 3D half-space is studied by means of a FE-BIE coupling method. A mixed variational formulation based on the substrate Green function is adopted. The FE-BIE model is effective in evaluating beam buckling loads and modal shapes. Formulas for critical loads and wavelength of beams on elastic support are proposed. Abstract: In this work, a simple and efficient finite element–boundary integral equation coupling method is adopted for studying the buckling of beams and coatings resting on a three-dimensional elastic half-space. For this purpose, a mixed variational formulation based on the Green function of the substrate is adopted by assuming as independent fields beam displacements and contact pressures. Euler-Bernoulli beams with finite width and different combinations of end restraints are considered. Some numerical tests illustrate the accuracy of the proposed formulation, with particular attention to the convergence to existing analytical and numerical solutions and to the proposal of new estimates of beams and coatings buckling wavelength and critical loads for varying length-to-width ratio and beam-substrate relative stiffness.