Abstract
In the previous chapter, we studied in great detail, a structural problem where both bending and shear deformation was present. We saw that under certain physical regimes (thin beams or high shear rigidities) constraints appeared which emphasized the vanishing of the energy of shear deformation relative to the energy of bending deformation. While this condition is handled very easily in an infinitesimal description, the case is not so simple when a finite element discretization is made. This phenomenon of the very poor behaviour of the linear displacement type element for shear deformable bending action of a beam was called shear locking. We also saw in the previous chapter, how the field-consistency paradigm was needed to explain this behaviour in a scientifically satisfying way.
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© 1993 Springer Science+Business Media Dordrecht
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Prathap, G. (1993). Simple Curved Beam Elements. In: The Finite Element Method in Structural Mechanics. Solid Mechanics and Its Applications, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3319-9_3
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DOI: https://doi.org/10.1007/978-94-017-3319-9_3
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