A coupled FE-BIE model for the static analysis of Timoshenko beams bonded to an orthotropic elastic half-plane. (October 2016)

• Record Type: Journal Article
• Authors: Tezzon, Enrico; Tullini, Nerio; Lanzoni, Luca
• Is Part Of: Engineering analysis with boundary elements. Volume 71(2016:Oct.)
• Page Start: 112
• Page End: 128
• Publication Date: 2016-10
• Subjects: Orthotropic half-plane -- Euler–Bernoulli beam -- Timoshenko beam -- Mixed variational principle -- Green function; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.07.009
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: Interface displacements, surface tractions and stresses of a flexible beam bonded to an elastic orthotropic half-plane are analysed by means of a Finite Element-Boundary Integral Equation (FE-BIE) method. Numerical results are obtained by using locking-free shear deformable beams and piecewise constant interfacial reactions. Making use of the generalised Green's function for the half-plane, the mechanical behaviour of fully bonded or detached beams subjected to force, couple or thermal load is investigated. The special cases of a beam in bilateral frictionless contact with the half-plane and a beam having a vanishing bending rigidity (thin film) are considered also. In particular, the maximum bending moment of beams subjected to a vertical point force are compared with some closed-form solutions of the contact problem of a rigid indenter and with the solution of an infinite Euler–Bernoulli beam in bilateral frictionless contact with an isotropic substrate.