Rigid Block Equilibrium

Rigid-Block Equilibrium (RBE) is a numerical approach that frames the equilibrium problem of rigid-block assemblies as an optimisation problem to compute possible internal and equilibrated singular stress states. The contact between blocks is considered to have a finite friction capacity, and the unilateral behaviour is modelled through a penalty formulation. In particular, the penalty formulation widens the standard admissible solution space of compressive-only forces by allowing for tensile forces to appear in potentially unstable regions.

compas_rbe

The RBE objective function minimises the interface forces, whereas the constraints are linear functions enforcing the static equilibrium of the whole assembly. compas_rbe provides a base implementation of RBE. In compas_rbe, blocks are considered infinitely rigid and have infinite compressive strength. compas_rbe provides the necessary contact forces (i.e. compression, tension and friction forces) for the assembly to be in equilibrium under given external loads.

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