JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Theoretical and numerical analysis of the influence of initial stress gradient on wave propagations
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Geomechanics and Engineering
  • Volume 10, Issue 3,  2016, pp.285-296
  • Publisher : Techno-Press
  • DOI : 10.12989/gae.2016.10.3.285
 Title & Authors
Theoretical and numerical analysis of the influence of initial stress gradient on wave propagations
Tao, Ming; Chen, Zhenghong; Li, Xibing; Zhao, Huatao; Yin, TuBing;
 Abstract
The investigation of stress wave propagation in a medium with initial stress has very important application in the field of engineering. However, the previous research less consider the influence of initial stress gradient on wave propagation. In the present paper, the governing equation of wave propagation in elastic continuum material with inhomogeneous initial stress is derived, which indicated that the inhomogeneous initial stress changed the governing equation of wave propagation. Additionally, the definite problem of wave propagation in material with initial stress gradient is verified by using mathematical physics method. Based on the definite problem, the elastic displacement-time relationship of wave propagation is explored, which indicated that the inhomogeneous initial stress changed waveform and relationship of displacement-time histories. Furthermore, the spall process of blasting wave propagation from underground to earth surface is simulated by using LS-DYNA.
 Keywords
inhomogeneous initial stress;mathematical physics;wave propagation;governing equations;
 Language
English
 Cited by
1.
Failure mechanism and coupled static-dynamic loading theory in deep hard rock mining: A review, Journal of Rock Mechanics and Geotechnical Engineering, 2017, 9, 4, 767  crossref(new windwow)
2.
Spalling strength of rock under different static pre-confining pressures, International Journal of Impact Engineering, 2017, 99, 69  crossref(new windwow)
 References
1.
Asef, M.R. and Najibi, A.R. (2013), "The effect of confining pressure on elastic wave velocities and dynamic to static Young's modulus ratio", Geophysics, 78(3), 135-142.

2.
Biot, M.A. and Drucker, D.C. (1965), "Mechanics of incremental deformation", J. Appl. Mech., 32(4), 957.

3.
Bromwich, T.J. I'A. (1898), "On the influence of gravity on elastic waves, and, in particular on the vibrations of an elastic globe", Proceedings of the London Mathematical Society, 1(1), 98-120.

4.
Dhua, S. and Chattopadhyay, A. (2015), "Torsional wave in an initially stressed layer lying between two inhomogeneous media", Meccanica, 50, 1-15. crossref(new window)

5.
Hallquist, J.O. (2007), LS-DYNA keyword user's manual, Livermore Software Technology Corporation, Version 970.

6.
Ji, S.C., Wang, Q., Marcotte, D., Salisbury, M.H. and Xu, Z.Q. (2007), "P wave velocities, anisotropy and hysteresis in ultrahigh-pressure metamorphic rocks as a function of confining pressure", J. Geophys. Res.: Solid Earth, 112(B9), 685-693.

7.
Ji, S.C., Li, A., Wang, Q., Long, C.X., Wang, H.C., Marcotte, D. and Salisbury, M.H. (2013a), "Seismic velocities, anisotropy, and shear-wave splitting of antigorite serpentinites and tectonic implications for subduction zones", J. Geophys. Res.: Solid Earth, 118(3), 1015-1037.

8.
Ji, S.C., Shao, T.B., Michibayashi, K., Long, C.X., Wang, Q., Kondo, Y. and Salisbury, M.H. (2013b), "A new calibration of seismic velocities, anisotropy, fabrics, and elastic moduli of amphibole-rich rocks", J. Geophys. Res.: Solid Earth, 118(9), 4699-4728.

9.
Kakar, R. and Kakar, S. (2014), "Electro-magneto-thermoelastic surface waves in non-homogeneous orthotropic granular half space", Geomech. Eng., Int. J., 7(1), 1-36. crossref(new window)

10.
Kumar, R. and Kumar, R. (2013), "Wave propagation at the boundary surface of elastic and initially stressed viscothermoelastic diffusion with voids media", Meccanica, 48(9), 2173-2188. crossref(new window)

11.
Li, X.B. and Tao, M. (2015), "The influence of initial stress on wave propagation and dynamic elastic coefficients", Geomech. Eng., Int. J., 8(3), 377-390. crossref(new window)

12.
Mahmoud, S.R., Tounsi, A., Ahmed, T.A. and Al-Basyouni, K.S. (2014), "The effect of initial stress and magnetic field on wave propagation in human dry bones", Bound. Value Probl., 2014(1), 1-13. crossref(new window)

13.
Ogden, R.W. and Singh, B. (2014), "The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid", Wave Motion, 51(7), 1108-1126. crossref(new window)

14.
Sethi, M., Bhardwaj, R. and kamal Sharma, A. (2014), "Surface waves in homogeneous visco-elastic media of higher order under the influence of gravity and surface stresses", Adv. Phys. Theor. Appl., 30, 65-77.

15.
Shen, J. and Karakus, M. (2015), "Simplified method for estimating the Hoek-Brown constant for intact rocks", J. Geotech. Geoenviron. Eng., 140(6), 971-984.

16.
Tao, M., Li, X.B. and Wu, C.Q. (2012), "Characteristics of the unloading process of rocks under high initial stress", Comput. Geotech., 45, 83-92. crossref(new window)

17.
Tao, M., Li, X.B. and Wu, C.Q. (2013), "3D numerical model for dynamic loading-induced multiple fracture zones around underground cavity faces", Comput. Geotech., 54, 33-45. crossref(new window)

18.
Tolstoy, I. (1982), "On elastic waves in prestressed solids", J. Geophys. Res.: Solid Earth, 87(B8), 6823-6827.

19.
Vinh, P.C. and Linh, N.T.K. (2013), "Rayleigh waves in an incompressible elastic half-space overlaid with a water layer under the effect of gravity", Meccanica, 48(8), 2051-2060. crossref(new window)

20.
Vinh, P.C. and Seriani, G. (2010), "Explicit secular equations of Stoneley waves in a non-homogeneous orthotropic elastic medium under the influence of gravity", Appl. Math. Computat., 215(10), 3515-3525. crossref(new window)

21.
Wang, Q., Ji, S.C., Sun, S.S. and Marcotte, D. (2009), "Correlations between compressional and shear wave velocities and corresponding Poisson's ratios for some common rocks and sulfide ores", Tectonophysics, 469(1), 61-72. crossref(new window)

22.
Zhao, Z., Niu, Y., Christensen, N.I., Zhou, W., Hou, Q., Zhang, Z.M., Xie, H., Zhang, Z.C. and Liu, J. (2011), "Delamination and ultra-deep subduction of continental crust: constraints from elastic wave velocity and density measurement in ultrahigh-pressure metamorphic rocks", J. Metamor. Geol., 29(7), 781-801. crossref(new window)