The four-node \(C^ 0\) shell element reformulated. (English) Zbl 0885.73075
A reformulated four-node shell finite element is proposed. The moment redistribution mechanism in the finite shell element model is shown to be predominantly activated by the membrane flexural action of the shell. This action is triggered through the membrane strain components which participate in the moment equilibrium equations of the finite element assembly system. An equivalent elastic foundation action, along with the activation of the in-plane twisting stiffness of the shell, can also contribute to the moment redistribution mechanism of the finite shell element model. This formulation aims at retaining the non-spurious contribution of the transverse shear membrane strain energy to the flexural behaviour of the shell, through the activation of the moment redistribution mechanism.
Reviewer: N.F.F.Ebecken (Rio de Janeiro)
Keywords:
locking phenomena; zero energy modes; moment redistribution mechanism; membrane flexural action; elastic foundation; in-plane twisting stiffness; shear membrane strain energyReferences:
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