This paper presents a review of the development of geometrically exact beam theories for the analysis of large displacements and finite rotations of curved beams. Since finite rotations evolve on the nonlinear manifold 𝑆𝑂(3) rather than in a vector space, their consistent parametrization, interpolation, and update are essential to maintain objectiv...

By Dijana Tatar, Aleksandar Borković

Two approaches for beam-to-beam contact modeling are considered in the paper. The first is the classic continuum approach with point-to-point contact discretization. The other is the coarsegrained approach where the physical intermolecular fields are applied for the modeling of interaction of continuous bodies. To describe the contact, the repulsiv...

By Aleksandar Borković, Miloš Jočković, Dijana Tatar, Snježana Milovanović

Dams are hydrotehnic engineering structures that have undergone significant advancement throughout history from an engineering standpoint, and today they represent some of the most complex constructions. Additionally, they play a crucial role in the economic development of many countries. Four basic types of dams have been developed: embankment, gr...

By Aleksandra Jeremić, Jelena Stojičić, Ognjen Mijatović, Dijana Tatar