In the paper frictionless contact between three-dimensional elastic beams with deformations at the contact zone is analysed. It is assumed that the analysed beams undergo large displacements, the strains remain small and the beams cross-section are deformed. In order to include deformation of the cross-sections the classical analytical result from Hertzian theory of contact between two elastic cylinders is used. The physical law for contacting bodies is introduced so high precision contact is considered. The appropriate kinematic variables are defined and discretised using the finite element methodology.
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