“…The proposed numerical approach has been recently used to study the in-plane bending of Timoshenko beams in bilateral frictionless contact with an elastic isotropic half-space making use of a Finite Element-Boundary Integral Equation (FE-BIE) method [33], allowing to obtain fast and accurate results in terms of beam displacements and contact tractions. The FE-BIE method was extensively used with elastic two-dimensional substrate, e.g., in the static analysis of Timoshenko beams and frames in frictionless [34,35] or fully adhesive [36,37] contact with an half-plane, and also to study bars and thin coatings [38,39]. Moreover, the FE-BIE coupling method was also used to analyze the buckling of Euler-Bernoulli [40,41] and Timoshenko [42] beams in bilateral frictionless contact with an elastic half-plane.…”