This work presents a mixed stress finite element for linear elastodynamics of arbitrarily curved beams based on a modified Hellinger–Reissner functional. A rational approach to choose the stress approximation is proposed. In particular, the self-equilibrated stress is augmented by some stress modes obtained from the lower-order displacement approximation using the equilibrium equations, in such a way that the total number of stress modes is equal to the number of strain modes. The rationale is to preserve all the interactions among the stresses, proper of a curved structure without compromising the flexibility of the element. An arbitrarily curved geometry is described using a parametric Hermitian interpolation scheme tuned by minimizing the initial curvature of the arch. The effectiveness of the present approach is numerically demonstrated.

M. Cannarozzi, L. Molari (2008). A mixed stress model for linear elastodynamics of arbitrarily curved beams. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 74(1), 116-137 [10.1002/nme.2161].

A mixed stress model for linear elastodynamics of arbitrarily curved beams

MOLARI, LUISA
2008

Abstract

This work presents a mixed stress finite element for linear elastodynamics of arbitrarily curved beams based on a modified Hellinger–Reissner functional. A rational approach to choose the stress approximation is proposed. In particular, the self-equilibrated stress is augmented by some stress modes obtained from the lower-order displacement approximation using the equilibrium equations, in such a way that the total number of stress modes is equal to the number of strain modes. The rationale is to preserve all the interactions among the stresses, proper of a curved structure without compromising the flexibility of the element. An arbitrarily curved geometry is described using a parametric Hermitian interpolation scheme tuned by minimizing the initial curvature of the arch. The effectiveness of the present approach is numerically demonstrated.
2008
M. Cannarozzi, L. Molari (2008). A mixed stress model for linear elastodynamics of arbitrarily curved beams. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 74(1), 116-137 [10.1002/nme.2161].
M. Cannarozzi; L. Molari
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/56572
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