Beam to surface contact dynamics using a corotational formulation and discrete SDF

Please check our new article on beam to surface contact modeling, recently accepted in  Computer Methods in Applied Mechanics and Engineering: https://doi.org/10.1016/j.cma.2020.113275 . We have used a previously reported dynamic corotational formulation and added frictional contact terms, which provide a fully consistent formulation. The surfaces are defined using discrete signed distance fields and distances at the beam Lagrangian point of integration by means of an efficient tensor product of compact, high order, 1D Kernels, as widely used in immersed Fluid–Structure Interaction techniques. We propose a series of challenging benchmarks to prove the accuracy and robustness of the formulation.

Additionally, we have used Finite-elasticity three dimensional theory to define the corotational beam kinematics, as proposed previously by Auricchio and coauthors (see https://doi.org/10.1016/j.ijsolstr.2008.04.015) for geometrically exact beams.