Inelastic axial-flexure-shear coupling in a mixed formulation beam finite element

Date

2009-10-01

Author

Sarıtaş, Afşin

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In this paper a beam element that accounts for inelastic axial-flexure-shear coupling is presented. The mathematical model is derived from a three-field variational form. The finite element approximation for the beam uses shape functions for section forces that satisfy equilibrium and discontinuous section deformations along the beam. No approximation for the beam displacement field is necessary in the formulation. The coupling of the section forces is achieved through the numerical integration of an inelastic multi-axial material model over the cross-section. The proposed element is free from shear-locking. Examples confirm the accuracy and numerical robustness of the proposed element and showcase the interaction between axial force, shear, and bending moment.

Subject Keywords

Inelastic beam, Mixed formulation, Shear-locking, Axial-flexure-shear coupling, Shear yielding

URI

https://hdl.handle.net/11511/49084

Journal

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

DOI

https://doi.org/10.1016/j.ijnonlinmec.2009.06.007

Collections

Department of Civil Engineering, Article

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Citation Formats

A. Sarıtaş, “Inelastic axial-flexure-shear coupling in a mixed formulation beam finite element,” INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, pp. 913–922, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49084.