This paper presents a novel shear deformable numerical model designed for the nonlinear stability analysis of beam-type structures.The incremental equilibrium equations are derived for a straight thin-walled beam element using an updated Lagrangian formulation.This formulation accounts for the nonlinear displacement field of cross-sections, considering both restrained warping and large rotation effects.The model incorporates shear deformation effects by addressing coupling effects such as bending-bending and bending-warping torsion in the composite cross-section.Cross-section properties are computed based on the reference modulus, enabling the modelling of various laminate configurations.A numerical algorithm is developed to determine the geometric properties of the composite cross-section.The proposed model is validated through examination of different material configurations and presentation of several benchmark examples.Results indicate that the model is devoid of shear locking issues and demonstrates reliable performance.
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Banić et al. (2024) studied this question.
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