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Stabilized finite element formation for flexible structures in three-dimensional space. (Portuguese. English summary) Zbl 1208.74164

Summary: We present a computational model for flexible structures of arbitrary geometry in three-dimensional space where the kinematics is governed by the theory of rods with flexion, shear, torsion and membrane effects. A mixed Petrov-Galerkin method is used to construct a stable finite-element approximation. Error estimates indicating rates of convergence, as well as numerical results confirming those rates, are presented.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
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