Selective finite element refinement in torsional problems based on the membrane analogy

Troyani, Nando; Pérez, A.; Gomes, Carlos J.; Baiz, P.M.; Fonseca, Z. Da

doi:10.1016/j.finel.2009.03.002

Cited by 1 publication

(1 citation statement)

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“…In order to solve the torsion equation of the bar in Equation ( 4), the torsion problem can be compared with the deflection deformation of the membrane under uniform pressure. According to the membrane analogy theory [13][14][15], the deflection function of the membrane under the action of uniform pressure is mathematically similar to the stress function of torsion of the above-mentioned bar of equal sections.…”

Section: Membrane Analogy Theory In Torsionmentioning

confidence: 99%

Prediction of Mechanical Properties of Thin-Walled Bar with Open Cross-Section under Restrained Torsion

et al. 2022

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Thin-walled bars with an open cross-section are widely used in mechanical structures where weight and size control are particularly required. Thus, this paper attempts to propose a theoretical model for predicting the mechanical properties of a thin-walled bar with an open cross-section under restrained torsion. Firstly, a theoretical model with predictions of shear stress, buckling normal stress, and secondary shear stress of the thin-walled bar with open cross-section under the condition of restrained torsion was developed based on torsion theory. Then, physical test and finite element modeling data were employed to validate the theoretical predictions. The results indicate that the theoretical predictions show good agreements with data of finite element modeling and experiments. Therefore, the proposed theoretical model could be used for the prediction of the mechanical response of a thin-walled bar with an open annular section under restrained torsion.

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Section: Membrane Analogy Theory In Torsionmentioning

confidence: 99%