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.
A mixed stress model for linear elastodynamics of arbitrarily curved beams / Cannarozzi, Mario; L., Molari. - In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. - ISSN 0029-5981. - STAMPA. - 74:1(2008), pp. 116-137. [10.1002/nme.2161]
A mixed stress model for linear elastodynamics of arbitrarily curved beams
CANNAROZZI, Mario;
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.File | Dimensione | Formato | |
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