A Comparative Study on Maximum Shear Strain Distribution in a Layered Viscoelastic Medium

Year 2018, Volume: 8 Issue: 3, 1571 - 1578, 10.07.2018

Kaveh Dehghanıan , Mustafa Tolga Yılmaz

Abstract

Abstract - For practical calculations, the ovaling and racking deformations on buried structures are estimated by estimating the

maximum shear strain (γmax) in imperforated ground using vertically incident shear waves (Vs). The relationship between maximum

shear strain (max )and depth in a uniformly elastic half-space is a function of shear-wave velocity in the uniform medium and

acceleration history in free field. In this study, the relationship between the distribution of max in elastic half space and in layered

medium is examined by supposing that the travel time of shear waves from the free boundary to a depth of interest in a layered

medium is equal to d/Vs. Different variety of strong ground motion time histories and three Vs profiles are used for analyses. The

effect of nonlinear material response to shearing was investigated by using the method of equivalent linearization.

Keywords

Shear strain, underground structures, ovaling, racking, free field

References

• [ 1] Akkar, S. and Bommer, J. (2007). Empirical Prediction Equations for Peak Ground Velocity Derived from Strong- Motion Records from Europe and the Middle East, Bulletin of the Seismological Society of America, Vol. 97, No. 2, pp. 511–530. [ 2] Borcherdt, RD. (1994). Estimates of Site-Dependent Response Spectra for Design (Methodology and Justification). Earthquake Spectra, Vol.10, No.4, pp. 617-653. [ 3] Boore, D.M., Gibbs, F. and Rodriguez, M. (2003). A compendium of P- and S-wave velocities from surface-toborehole logging; summary and reanalysis of previously published data and analysis of unpublished data. Open- File Report 2003-191, USGS, California, United States of America. [ 4] Chen, CH. and Hou, PC. (1992). Response Spectrum of Ground Shear Strain. 10th World Conference on Earthquake Engineering, Rotterdam. [ 5] Daphne, Strong Ground Motion Database of Turkey. (15 May 2014). http://daphne.deprem.gov.tr/2K/ daphne_v4.php. [ 6] ICC, International Code Council. (2009). International Building Code, the United States. [ 7] EduPro Civil Systems. (1998). PROSHAKE – Ground Response Analysis Program, EduPro Civil Systems Inc., Redmond, Washington. [ 8] Gerolymos, N. and Gazetas G. (2005). Constitutive Model for 1-D Cyclic Soil Behavior Applied to Seismic Analysis. Soils and Foundations, Vol. 45, No.3, pp. 147-159. [ 9] Hashash, YMA, Hook, JJ, Schmidt, B and Yao JIC. (2001). Seismic Design and Analysis of Underground Structures. Tunneling and Underground Space Technology, Vol.16, No.4, pp.247–293. [ 10] Imai T, Tonouchi K. and Kanemori T. (1981). The Simple Evaluation Method of Shear Stress Generated by Earthquakes in Soil Ground. Bureau of Practical Geological Investigation: Japan, pp. 39-58. [ 11] Newmark, NM. (1968). Problems in Wave Propagation in Soil and Rock. Symposium on Wave Propagation and Dynamic Properties of Earth Materials, August 23-25, Univ. of New Mexico Press, Albuquerque, NM, pp. 7-26. [ 12] Nigbor, R.L. and Swift J.N. (2001). Resolution of Site Response Issues from the Northridge Earthquake, ROSRINE/ USC-01, Revision 0.9, 26 November. [ 13] PEER Strong Ground Motion Database. (15 May 2014). http://peer.berkeley.edu/smcat/. [ 14] Schnabel, PB, Lysmer, J. and Seed, HB. (1972). SHAKE: A Computer Program for Earthquake Response Analysis of Horizontally Layered Sites. Report No. UCB/EERC-72/12, Earthquake Engineering Research Center, University of California, Berkeley, pp. 1-92. [ 15] Silva, W. (1988). Soil Response to Earthquake Ground Motion, EPRI NP-5747 Final Report, Woodward- Clyde Consultants, California. [ 16] St. John, CM. and Zahrah, TF. (1987). Aseismic Design of Underground Structures. Tunneling and Underground Space Technology, Vol. 2, No. 2, pp. 165 -197. [ 17] Vucetic, M. and Dobry, R. (1991). Effect of Soil Plasticity on Cyclic Response. Journal of Geotechnical Engineering, Vol.117, No.1, pp. 89-107. [ 18] Wang, JN. (1993). Seismic Design of Tunnels, a Simple State-of-the-Art Design Approach. Parsons Brinckerhoff Inc. Publication, New York, pp. 53-133.