Frost heave failure of concrete canal linings in cold regions poses a significant threat to the safe operation of water conveyance systems. This study proposes a novel mechanical model for frost heave failure based on dual-parameter elastic foundation beam theory, incorporating the non-uniform deformation behavior commonly observed in engineering practice. The interaction between foundation soil frost heave and the lining is represented by a system of springs, with the lining boundaries modeled as elastic supports. Model accuracy is validated through comparison with field measurements and prior studies. Results show that the elastic boundary more accurately captures the deformation behavior near the top and foot of the lining. Compared with elastic boundaries, simply supported conditions result in 28.05 % greater peak displacement, 29.75 % higher peak bending moment, and 49.13 % lower shear force at the top of the lining. When elastic boundaries are included, negative bending moments emerge near the lining ends. As the vertical spring stiffness increases, the peak frost heave displacement initially decreases and then rises, while the extent of the negative bending moment regime contracts. A similar non-monotonic trend is observed for peak bending moment with increasing torsional spring stiffness, accompanied by expansion of the negative moment regions at the top and foot. When the torsional stiffness becomes excessively large, the absolute value of the negative moment exceeds that of the positive moment at the boundary, leading to a shift in the critical failure location. Increasing the lining thickness from 6 cm to 14 cm results in a 48.12 % reduction in peak frost heave displacement, with the location of maximum displacement shifting 15 cm toward the center of the lining.
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