Analysis of static frictionless beam-to-beam contact using mortar method

Abstract This paper presents a formulation for frictionless beam-to-beam contact using the mortar method. The beams are modelled geometrically exact theory. A similar approach has been proposed very recently, with respect to which we offer based on Lagrange-multiplier method and simpler algorithm cover static interaction within zone analyse performance of different orders interpolation Lagrange multiplier in presence self-contact. Appropriate kinematics is developed from residual vector tangent stiffness matrix obtained suitable potential its variation consistent linearisation implementation finite element describing fulfilment described detail. found out be modelling beam theory assumes full rigidity cross-sections as such naturally prone higher oscillations force near boundaries zone. For sufficiently small load steps, however, stable solution obtained, making it appropriate future research.