Co-rotated and reduced order finite element time integrators for multibody contact dynamics

In this work we present two linearly implicit time integration methods, suitable for deformable multibody dynamic contact problems. The first approach co-rotates the initial linearized dynamic system which is therefore factorized only once. The second approach employs a reduced order base and produces a smaller, dense algebraic system; a modal base can also be used rendering the reduces system diagonal. We cross-compare the proposed approaches with the unmodified Total Lagrangian finite element formulation and with the rigid body approach. An implementation of presented methods is available at https://github.com/tkoziara/solfec/