On a mixed finite element formulation involving large rotations for geometrically nonlinear elasticity
Keywords:
mixed finite element formulation, complementary energy functional, large strains, large rotationsAbstract
A geometrically nonlinear extension of a mixed finite element formulation based on a complementary energy functional involving rotations and nonsymetric stresses is investigated. The resulting nonlinear strain measure involves an independent rotation tensor and resembles a micropolar approach. As a point of departure, the hybrid mixed functional is derived and the stationarity conditions together with their linearization are given with respect to the reference and the spatial configuration. A possible application of well balanced approximation spaces to the geometrically nonlinear case is discussed.
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