Wave dispersion studies in granular media by analytical and analytical-numerical methods

Soil Dynamics and Earthquake Engineering

Volumn 29, Issue 5, 2009, Pages 883-887

  Papargyri Beskou, S ^a   Mylonakis, G ^b  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

Compressional waves; Gradient elasticity; Shear waves; Viscoelasticity; Wave dispersion; Wave propagation

Indexed keywords

DIFFERENTIAL EQUATIONS; DISPERSION (WAVES); DISPERSIONS; DYNAMIC RESPONSE; ELASTIC WAVES; ELASTICITY; ELASTOHYDRODYNAMICS; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; MATERIALS; NUMERICAL METHODS; PROBABILITY DENSITY FUNCTION; SAND; SHEAR WAVES; THREE DIMENSIONAL; VISCOELASTICITY; VISCOSITY; WAVE PROPAGATION;

ANALYTICAL-NUMERICAL METHODS; AXIAL DIRECTIONS; COMPRESSIONAL; COMPRESSIONAL WAVES; DRY SANDS; EXPLICIT EXPRESSIONS; GRADIENT ELASTICITY; GRANULAR MEDIAS; MATERIAL MODELS; MICROSTRUCTURAL CHARACTERISTICS; NUMERICAL EXPERIMENTS; NUMERICAL STUDIES; ONE-DIMENSIONAL; P- AND S-WAVES; SINUSOIDAL PULSE; SPECIFIC FREQUENCIES; TRANSIENT DYNAMICS; VISCO-ELASTIC MATERIALS; WAVE DISPERSION;

FREQUENCY RESPONSE;

ANALYTICAL METHOD; GRANULAR MEDIUM; LAPLACE TRANSFORM; MICROSTRUCTURE; NUMERICAL METHOD; P-WAVE; S-WAVE; VISCOELASTICITY; WAVE DISPERSION; WAVE PROPAGATION; WAVE VELOCITY;

EID: 60349127247     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.soildyn.2008.10.003     Document Type: Article

References (22)

1. Rignoli E.G.M., Gotti M., and Stokoe II K.H. Measurement of shear waves in laboratory specimens by means of piezoelectric tranducers. Geotech Test J 19 (1996) 384-397
2. Lohani T.N., Imai G., and Shibuya S. Determination of shear wave velocity in bender element test. In: Pinto S. (Ed). Proceedings of the 2nd international conference on earthquake geotechnical engineering vol. 1 (1999), A.A. Balkema, Rotterdam 101-106
3. Yamashita S., and Suzuki T. Small strain stiffness on anisotropic consolidated state of sands by bender elements and cyclic loading tests. Proceedings of the 15th international conference on soil mechanics & geotechnical engineering, Istanbul vol. 1 (2001), A.A. Balkema, Lisse 325-328
4. AnhDan L.Q., Koseki J., and Sato T. Comparison of young's moduli of dense sand and gravel measured by dynamic and static methods. Geotech Test J 25 4 (2002) 1-20
5. Arulnathan R., Boulanger R.W., and Riemer M.F. Analysis of bender element tests. Geotech Test J 21 (1998) 120-131
6. 0 using bender elements. Geotech Test J 27 3 (2004) 1-7
7. Donald J.A., and Butt S.D. Experimental technique for measuring phase velocities during triaxial compression tests. Int J Rock Mech Min Sci 42 (2005) 307-314
8. Lai C.G., Rix G.J., Foti S., and Roma V. Simultaneous measurement and inversion of surface wave dispersion and attenuation curves. Soil Dyn Earthquake Eng 22 (2002) 923-930
9. Stavropoulou M., Exadaktylos G., Papamichos E., Larsen I., and Ringstad C. Rayleigh wave propagation in intact and damaged geomaterials. Int J Rock Mech Min Sci 40 (2003) 377-387
10. Tokeshi J.C., Karkee M.B., and Sugimura Y. Reliability of Rayleigh wave dispersion curve obtained from f to k spectral analysis of microtremor array measurement. Soil Dyn Earthquake Eng 26 (2006) 163-174
11. Thomas CN, Papargyri-Beskou S, Mylonakis G. Wave dispersion in dry granular materials by the distinct element method. Soil Dyn Earthquake Eng 2008, in press, doi:10.1016/j.soildyn.2008.10.002.
12. Chang C.S., and Gao J. Wave propagation in granular rod using high-gradient theory. J Eng Mech, ASCE 123 (1997) 52-59
13. Tsepoura K.G., Papargyri-Beskou S., Polyzos D., and Beskos D.E. Static and dynamic analysis of gradient elastic bars in tension. Arch Appl Mech 72 (2002) 483-497
14. Papargyri-Beskou S., Polyzos D., and Beskos D.E. Dynamic analysis of gradient elastic flexural beams. Struct Eng Mech 15 (2003) 705-716
15. Papargyri-Beskou S., and Beskos D.E. Response of gradient viscoelastic bar to static and dynamic axial load. Acta Mech 170 (2004) 199-212
16. Wichtmann T., Sellountos E.I., Tsinopoulos S.V., Niemunis A., Papargyri-Beskou S., Polyzos D., et al. Wave dispersion in dry sand by experimental, analytical and numerical methods. In: Georgiou G., Papanastasiou P., and Papadrakakis M. (Eds). Proceedings of the 5th GRACM international congress on computational mechanics. Limassol, Cyprus (2005), University of Cyprus, Nicosia 487-493
17. Aggelis D.G., Philippidis T.P., Tsinopoulos S.V., and Polyzos D. Wave dispersion in concrete due to microstructure. In: Atluri S.N. (Ed). CD ROM Proceedings of the 2004 international conference on computational & experimental engineering & sciences, Madeira, Portugal (2004), Tech. Science Press
18. Papargyri-Beskou S. Comparison of four constitutive models for wave propagation in dry sand. In: Atluri S.N. (Ed). CD ROM Proc of the international conference on computational & experimental engineering & sciences, Chennai (Madras), India (2005), Tech. Science Press
19. Christensen R.M. Theory of viscoelasticity (1971), Academic Press, New York
20. Mindlin R.D. Microstructure in linear elasticity. Arch Ration Mech Anal 16 (1964) 51-78
21. Cowin S.C., and Nunziato J.W. Linear elastic materials with voids. J Elasticity 13 (1983) 125-147
22. Durbin F. Numerical inversion of Laplace transform: an efficient improvement to Dubner and Abate's method. Comput J 17 (1974) 371-376