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This paper presents theory for the Lagrange co-rotational (CR) formulation offinite elements in the geometrically nonlinear analysis of 3D structures. Inthis paper strains are assumed to be small while the magnitude of rotationsfrom the reference configuration is not restricted. A new best fit rotator andconsistent spin filter are derived. Lagrange CR formulation is applied withHybrid Trefftz Stress elements, although presented methodology can be appliedto arbitrary problem formulation and discretization technique, f.e. finitevolume methods and lattice models, discreet element methods. Efficiency of CRformulation can be utilized in post-buckling stability analysis, damage andfracture mechanics, modelling of dynamic fragmentation of bodies made fromquasi-brittle materials, solid fluid interactions and analysis of post-stressedstructures, discreet body dynamics.

Corotational formulation for 3d solids. An analysis of geometrically nonlinear foam deformation