| Citation: | DENG Ji-hua, HE Zi-an, HE Jun, SHAO Xu-dong. Exact finite element method for time-dependent analysis of steel-concrete composite beam considering shear deformation[J]. Journal of Traffic and Transportation Engineering, 2026, 26(5): 111-124. doi: 10.19818/j.cnki.1671-1637.2026.095
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To overcome curvature locking in conventional displacement-based finite element methods for analyzing the long-term mechanical behavior of steel-concrete composite beams, and to improve computational accuracy and efficiency, an exact finite element method that accounts for interfacial slip between the two beam layers, shear deformation of beam layers, and the effects of concrete shrinkage and creep was proposed. Based on the fundamental equations of elasticity and a linear viscoelastic constitutive model for concrete creep, the governing differential equations for the composite beam element were derived and solved analytically. The exact element stiffness matrix and equivalent load matrix were formulated using the direct stiffness method, and a corresponding numerical program was developed. The proposed method was validated using three representative examples, followed by a parametric study. The results indicate that the proposed finite element method can accurately predict the time-dependent mechanical response of steel-concrete composite beams while accounting for both shear deformation and interfacial slip. High accuracy can still be achieved with a relatively coarse mesh and a limited number of time steps in shrinkage and creep analysis. Compared with the analytical solution, the error in deflection at 365 d is less than 3.2%, while the computational efficiency and applicability are significantly improved. In comparison with a finite element method that neglects shear deformation, the proposed method reduces the error by more than 10%. The proposed method therefore provides an efficient and reliable computational tool for the long-term performance analysis and engineering design of steel-concrete composite beams.
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