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Frontiers of Structural and Civil Engineering >> 2019, Volume 13, Issue 6 doi: 10.1007/s11709-019-0548-0

Global sensitivity analysis of certain and uncertain factors for a circular tunnel under seismic action

. Department of Civil Engineering, Tishk International University Sulaimani, Sulaimaniya 46001, Iraq.. Civil Engineering Department, College of Engineering, King Saud University, Riyadh 11421, Saudi Arabia.. Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak 38156-875, Iran

Accepted: 2019-07-08 Available online: 2019-07-08

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Abstract

There are many certain and uncertain design factors which have unrevealed rational effects on the generation of tensile damage and the stability of the circular tunnels during seismic actions. In this research paper, we have dedicated three certain and four uncertain design factors to quantify their rational effects using numerical simulations and the Sobol’s sensitivity indices. Main effects and interaction effects between the design factors have been determined supporting on variance-based global sensitivity analysis. The results detected that the concrete modulus of elasticity for the tunnel lining has the greatest effect on the tensile damage generation in the tunnel lining during the seismic action. In the other direction, the interactions between the concrete density and both of concrete modulus of elasticity and tunnel diameter have appreciable effects on the tensile damage. Furthermore, the tunnel diameter has the deciding effect on the stability of the tunnel structure. While the interaction between the tunnel diameter and concrete density has appreciable effect on the stability process. It is worthy to mention that Sobol’s sensitivity indices manifested strong efficiency in detecting the roles of each design factor in cooperation with the numerical simulations explaining the responses of the circular tunnel during seismic actions.

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