A numerical model to analyze the response of the membrane surface under ponding load is propesed which combines the smoothed particle hydrodynamics (SPH) method and the non-linear constitutive model of the membrane material. According to the stress-strain response surface of the membrane material based on the biaxial tensile test with different stress ratios, a nonlinear constitutive model is established. SPH particles are used to simulate water, and a numerical model of the fluid-solid coupling between the membrane surface and ponding load is established. The mesh size adopted in this paper is determined by verifying the mesh convergence, and the influence of the loading time on the calculation results is analyzed. At the same time, the distribution law of stress and strain of the membrane surface are analyzed. The results show that the loading process becomes increasingly stable with the increase of the loading time, and 100 s can meet the analysis requirements.The numerical simulation results are compared with those of the flat membrane ponding test. It is found that the maximum vertical deformation of the membrane surface is in good agreement, which verifies the reliability of the method proposed in this paper.

Keywords： membrane; ponding water; smoothed particle hydrodynamics (SPH); nonlinear constitutive; numerical model