Abstract: As the anti-seepage structure of the rock-fill dam, the force safety of asphalt concrete core is well concerned by the engineering field. So it is important to quickly and easily study the force and deformation of the asphalt concrete core. Firstly, the deflection deformation function of the rectangular thin plate with three sides clamped and one side free (CCCF) on the Winkler elastic foundation under the hydrostatic pressure is solved via the small deflection bending theory of the thin plate and Ritz method. Moreover, the deformation, internal force and stress calculation formulae of the CCCF rectangular thin plate are derivated. Secondly, the one-to-one mapping relation between the CCCF rectangular thin plate and the asphalt concrete core is established. The deformation, internal force and stress of the CCCF rectangular thin plate are transformed to the actual valley section core. Thus, a simplified analytical force analysis model of the asphalt concrete core is established. Then the reliability of the model is verified via the FEM. Finally, the simplified analytical force analysis model is applied to an engineering example. This model helps to quickly estimate the force and deformation of the asphalt concrete core. At the same time, the research idea expands the calculation method for the force and deformation of the asphalt concrete core.

Key words: asphalt concrete core rock-fill dam, Ritz method, rectangular thin plate, deflection deformation function, Winkler elastic foundation