Comparative study of two geometrically non-linear beam models with different strain measures

In this work, two geometrically non-linear beam models which use different strain measures are investigated in problems with large rotations. The first is the Simo-Reissner model. The second is the Green-Lagrange model. The novel aspects of this work are: (1) the 1-D formulation of the second beam model which uses the Green-Lagrange strain tensor components so that is comparable to the Simo-Reissner beam model, (2) the demonstration of the numerical behaviour of this 1-D model after incorporating an invariant update procedure described on the rotation manifold SO(3), and (3) the comparison of the different strain measures of the two beam models through the use of three numerical examples.