Ovaling deformations develop when waves propagate perpendicular to the tunnel axis. Two closed form solutions for estimating forces and displacements due to ovaling deformations are used for engineering purposes. The present closed form solutions for predicting forces and displacements under ovaling deformation provide under estimations in comparison to numerical analyses for the same conditions under seismic loading. In this paper, closed form solutions with consideration of ground-structure interaction are described briefly for full-slip condition. Then, a comparison between closed form solutions and numerical analyses are made for a specific tunnel by changing the ground parameters. Numerical analyses are performed using finite element code (ABAQUS program). According to the numerical results, modified relations, as the closed form solutions for ovaling deformation in circular tunnels, are proposed for full-slip condition under seismic loading.

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