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

Koziara, Tomasz; Brasier, Steve; Kaczmarczyk, Łukasz

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

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