On the application of a mixed finite-element approach to beam-soil interactionJagodnik, Vedran (Avtor) Jelenić, Gordan (Avtor) Arbanas, Željko (Avtor) , Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru (Lastnik avtorskih pravic) Bernoulli beamWinkler soilmixed finite-element methodIn this paper the deformation of a Bernoulli beam resting on Winkler's soil is reviewed in terms of the mixed finite-element methodology. While the stiffness matrix of the Bernoulli beam problem utilizing the standard displacement-based approach, in which only the displacement field is interpolated, may be alternatively obtained using a mixed-type approach to the absolutely shear-stiff second-order Timoshenko beam (in which the rotation and shear-stress resultant fields are additionally interpolated), the two approaches lead to different Winkler-type soil-stiffness contributions. Furthermore, extending the mixed-type formalism to both of these elements by additionally interpolating the distributed soil-reaction field, the soil-stiffness contributions also differ. In this way four different elements are obtained, with one, two, three or four independently interpolated fields, in which the beam-stifness matrix is equal, but the soil-stiffness matrices are different. It is demonstrated that the displacement-based one-field element is the least convergent, while the mixed-type element with four interpolated fields is the most convergent.20132018-06-14 09:59:32Znanstveno delo70804ISSN: 1854-0171UDK: 624.131.53OceCobissID: 215987712COBISS_ID: 277754112ISSN pri članku: 1854-0171NUK URN: URN:SI:UM:DK:I8UTYTWZslFakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru