메뉴 건너뛰기




Volumn 75, Issue 3, 2008, Pages 0310071-03100715

Transient wave propagation in multilayered viscoelastic media: Theory, numerical computation, and validation

Author keywords

Elastodynamics; Finite element analysis; Integral transform; Viscoelasticity; Wave equation

Indexed keywords

(E ,2E) THEORY; COMPUTER PROGRAMS; CORRESPONDENCE PRINCIPLE; HANKEL TRANSFORM (IGC: E12); LINEAR VISCOELASTICITY (LVE); MULTI-LAYERED; NUMERICAL ALGORITHMS; NUMERICAL COMPUTATIONS; TRANSFER MATRIX (TM); TRANSIENT WAVE PROPAGATION; VISCOELASTIC MEDIUM; VISCOELASTIC SOLID (VS);

EID: 46349107953     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2839906     Document Type: Article
Times cited : (21)

References (47)
  • 2
    • 84941210783 scopus 로고
    • Back-Calculation of Pavement Layer Properties
    • A. J. Bush III and G. Y. Baladi, eds, ASTM, Philadelphia, STP
    • Lytton, R. L., 1989, "Back-Calculation of Pavement Layer Properties," in Non-destructive Testing of Pavements and Back-Calculation of Moduli, A. J. Bush III and G. Y. Baladi, eds., ASTM, Philadelphia, STP No. 1026.
    • (1989) Non-destructive Testing of Pavements and Back-Calculation of Moduli , Issue.1026
    • Lytton, R.L.1
  • 5
    • 46349102806 scopus 로고    scopus 로고
    • Theoretical and Experimental Study of Vehicle Vibration and Pavement Response to Arbitrary Moving Loads,
    • Ph.D. thesis, Southeast University, Nanjing, China
    • Sun, L., 1996, "Theoretical and Experimental Study of Vehicle Vibration and Pavement Response to Arbitrary Moving Loads," Ph.D. thesis, Southeast University, Nanjing, China.
    • (1996)
    • Sun, L.1
  • 6
    • 31544463822 scopus 로고    scopus 로고
    • Transient Response of a Beam on Viscoelastic Foundation Under Impact Loads During Nondestructive Testing
    • Sun, L., Luo, F., and Chen, T. H., 2005, "Transient Response of a Beam on Viscoelastic Foundation Under Impact Loads During Nondestructive Testing," Journal of Earthquake Engineering and Engineering Vibration, 4(2), pp. 325-333.
    • (2005) Journal of Earthquake Engineering and Engineering Vibration , vol.4 , Issue.2 , pp. 325-333
    • Sun, L.1    Luo, F.2    Chen, T.H.3
  • 7
    • 36849122738 scopus 로고
    • Transmission of Elastic Waves Through a Stratified Soil Solid
    • Thomson, W. T., 1950, "Transmission of Elastic Waves Through a Stratified Soil Solid," J. Appl. Phys., 21, pp. 89-93.
    • (1950) J. Appl. Phys , vol.21 , pp. 89-93
    • Thomson, W.T.1
  • 8
    • 0002392976 scopus 로고
    • The Dispersion of Surface Waves In Multilayered Solids
    • Haskell, N. A., 1953, "The Dispersion of Surface Waves In Multilayered Solids," Bull. Seismol. Soc. Am., 43(1), pp. 17-43.
    • (1953) Bull. Seismol. Soc. Am , vol.43 , Issue.1 , pp. 17-43
    • Haskell, N.A.1
  • 9
    • 0001214089 scopus 로고
    • Radiation Pattern of Surface Waves From Point Sources in a Multilayered Solid
    • Haskell, N. A., 1964, "Radiation Pattern of Surface Waves From Point Sources in a Multilayered Solid," Bull. Seismol. Soc. Am., 54, pp. 377-393.
    • (1964) Bull. Seismol. Soc. Am , vol.54 , pp. 377-393
    • Haskell, N.A.1
  • 10
    • 0000322178 scopus 로고
    • Computation of Modal Solutions in Layered Elastic Solids at High Frequencies
    • Dunkin, J. W., 1965, "Computation of Modal Solutions in Layered Elastic Solids at High Frequencies," Bull. Seismol. Soc. Am., 55(2), pp. 335-358.
    • (1965) Bull. Seismol. Soc. Am , vol.55 , Issue.2 , pp. 335-358
    • Dunkin, J.W.1
  • 11
    • 0001535176 scopus 로고
    • Surface Waves in Multilayer Elastic Solids, Rayleigh and Love Waves From a Body Force
    • Harkruder, D., 1964, "Surface Waves in Multilayer Elastic Solids, Rayleigh and Love Waves From a Body Force," Bull. Seismol. Soc. Am., 54, pp. 627-679.
    • (1964) Bull. Seismol. Soc. Am , vol.54 , pp. 627-679
    • Harkruder, D.1
  • 12
    • 85040298420 scopus 로고
    • Dynamic Green's Functions for Layered Solids and Applications to Boundary-Value Problems,
    • Ph.D. thesis, University of California at San Diego, San Diego
    • Apsel, R. J., 1979, "Dynamic Green's Functions for Layered Solids and Applications to Boundary-Value Problems," Ph.D. thesis, University of California at San Diego, San Diego.
    • (1979)
    • Apsel, R.J.1
  • 13
    • 0000248093 scopus 로고
    • Stiffness Matrices for Layered Soils
    • Kausel, E., and Roesset, J. M., 1981, "Stiffness Matrices for Layered Soils," Bull. Seismol. Soc. Am., 71(6), pp. 1743-1761.
    • (1981) Bull. Seismol. Soc. Am , vol.71 , Issue.6 , pp. 1743-1761
    • Kausel, E.1    Roesset, J.M.2
  • 14
    • 0000145949 scopus 로고
    • Dynamic Loads in the Interior of a Layered Stratum: An Explicit Solution
    • Kausel, E., and Peek, R., 1982, "Dynamic Loads in the Interior of a Layered Stratum: An Explicit Solution," Bull. Seismol. Soc. Am., 72(5), pp. 1459-1481.
    • (1982) Bull. Seismol. Soc. Am , vol.72 , Issue.5 , pp. 1459-1481
    • Kausel, E.1    Peek, R.2
  • 15
    • 0000345637 scopus 로고
    • On the Green's Functions for a Layered Half-Space, Part I
    • Luco, J. E., and Aspel, R. J., 1983, "On the Green's Functions for a Layered Half-Space, Part I.," Bull. Seismol. Soc. Am., 73, pp. 909-929.
    • (1983) Bull. Seismol. Soc. Am , vol.73 , pp. 909-929
    • Luco, J.E.1    Aspel, R.J.2
  • 16
    • 0043067732 scopus 로고
    • Three-Dimensional Wave Propagation Analysis of a Smoothly Heterogeneous Solid
    • Pak, R. Y. S., and Guzina, B. B., 1995, "Three-Dimensional Wave Propagation Analysis of a Smoothly Heterogeneous Solid," J. Mech. Phys. Solids, 43(4), pp. 533-551.
    • (1995) J. Mech. Phys. Solids , vol.43 , Issue.4 , pp. 533-551
    • Pak, R.Y.S.1    Guzina, B.B.2
  • 17
    • 0029332367 scopus 로고
    • Determination of Depth to Bedrock From Falling Weight Deflectometer Test Data
    • Roesset, J. M., Stokoe II, K. H., and Seng, C. R., 1995, "Determination of Depth to Bedrock From Falling Weight Deflectometer Test Data," Transp. Res. Rec., 1504, pp. 68-78.
    • (1995) Transp. Res. Rec , vol.1504 , pp. 68-78
    • Roesset, J.M.1    Stokoe II, K.H.2    Seng, C.R.3
  • 18
    • 0035855803 scopus 로고    scopus 로고
    • Time-harmonic Elastodynamic Green's Function of Plates For Line Loads
    • Sun, L., 2001, "Time-harmonic Elastodynamic Green's Function of Plates For Line Loads," J. Sound Vib., 246(2), pp. 337-348.
    • (2001) J. Sound Vib , vol.246 , Issue.2 , pp. 337-348
    • Sun, L.1
  • 19
    • 38049129367 scopus 로고    scopus 로고
    • Steady-State Dynamic Response of a Kirchhoffs Slab on Viscoelastic Kelvin's Foundation to Moving Harmonic Loads
    • Sun, L., 2007, "Steady-State Dynamic Response of a Kirchhoffs Slab on Viscoelastic Kelvin's Foundation to Moving Harmonic Loads," ASME J. Appl. Mech., 74(13), pp. 1212-1224.
    • (2007) ASME J. Appl. Mech , vol.74 , Issue.13 , pp. 1212-1224
    • Sun, L.1
  • 20
    • 0002645441 scopus 로고    scopus 로고
    • Transient Response for Infinite Plate on Winkler Foundation by a Moving Distributed Load
    • Sun, L., and Deng, X., 1997, "Transient Response for Infinite Plate on Winkler Foundation by a Moving Distributed Load," Chinese Journal of Applied Mechanics, 14(2), pp. 72-78.
    • (1997) Chinese Journal of Applied Mechanics , vol.14 , Issue.2 , pp. 72-78
    • Sun, L.1    Deng, X.2
  • 21
    • 0031633861 scopus 로고    scopus 로고
    • Dynamic Analysis of Infinite Beam Under the Excitation of Moving Line Loads
    • Sun, L., and Deng, X., 1998, "Dynamic Analysis of Infinite Beam Under the Excitation of Moving Line Loads," Appl. Math. Mech., 19(4), pp. 367-373.
    • (1998) Appl. Math. Mech , vol.19 , Issue.4 , pp. 367-373
    • Sun, L.1    Deng, X.2
  • 22
    • 0030736842 scopus 로고    scopus 로고
    • Determination of Nonuniform Stresses in an Isotropic Elastic Half Space From Measurements of the Dispersion of Surface Waves
    • Ditri, J. J., 1997, "Determination of Nonuniform Stresses in an Isotropic Elastic Half Space From Measurements of the Dispersion of Surface Waves," J. Mech. Phys. Solids, 45(1), pp. 51-66.
    • (1997) J. Mech. Phys. Solids , vol.45 , Issue.1 , pp. 51-66
    • Ditri, J.J.1
  • 23
    • 0033734615 scopus 로고    scopus 로고
    • Dynamic Response of Linear Systems to Moving Stochastic Sources
    • Sun, L., and Greenberg, B. S., 2000, "Dynamic Response of Linear Systems to Moving Stochastic Sources," J. Sound Vib., 229(4), pp. 957-972.
    • (2000) J. Sound Vib , vol.229 , Issue.4 , pp. 957-972
    • Sun, L.1    Greenberg, B.S.2
  • 24
    • 0036646119 scopus 로고    scopus 로고
    • Efficient Dynamic Analysis of Multilayered System During Falling Weight Deflectometer Experiments
    • Liang, R., and Zeng, S., 2002, "Efficient Dynamic Analysis of Multilayered System During Falling Weight Deflectometer Experiments," J. Transp. Eng., 128(4), pp. 366-374.
    • (2002) J. Transp. Eng , vol.128 , Issue.4 , pp. 366-374
    • Liang, R.1    Zeng, S.2
  • 25
    • 0003808072 scopus 로고
    • The Crust-Mantle Transition in the Bering Sea
    • Helmberger, D. V., 1968, "The Crust-Mantle Transition in the Bering Sea," Bull. Seismol. Soc. Am., 58, pp. 179-214.
    • (1968) Bull. Seismol. Soc. Am , vol.58 , pp. 179-214
    • Helmberger, D.V.1
  • 26
    • 0016025834 scopus 로고
    • Generalized Ray Theory for Shear Dislocations
    • Helmberger, D. V., 1974, "Generalized Ray Theory for Shear Dislocations," Bull. Seismol. Soc. Am., 64, pp. 45-64.
    • (1974) Bull. Seismol. Soc. Am , vol.64 , pp. 45-64
    • Helmberger, D.V.1
  • 27
    • 46349089448 scopus 로고
    • Extension and Interpretation of the Cagniard-Pakeris Method for Dislocation Sources
    • Ben-Menahem, A., and Vered, M., 1973, "Extension and Interpretation of the Cagniard-Pakeris Method for Dislocation Sources," Bull. Seismol. Soc. Am., 63, pp. 1611-1636.
    • (1973) Bull. Seismol. Soc. Am , vol.63 , pp. 1611-1636
    • Ben-Menahem, A.1    Vered, M.2
  • 28
    • 3342911164 scopus 로고
    • Synthestic Seismograms for Deep Seismic Sounding Studies Using Asymptotic Ray Theory
    • Hron, F., and Kanasewich, E. R., 1971, "Synthestic Seismograms for Deep Seismic Sounding Studies Using Asymptotic Ray Theory," Bull. Seismol. Soc. Am., 61, pp. 1169-1200.
    • (1971) Bull. Seismol. Soc. Am , vol.61 , pp. 1169-1200
    • Hron, F.1    Kanasewich, E.R.2
  • 29
    • 0020877642 scopus 로고    scopus 로고
    • Pao, Y. H., 1983, Elastic Waves in Solids, ASME J. Appl. Mech., 50(4b), pp. 1152-1164.
    • Pao, Y. H., 1983, "Elastic Waves in Solids," ASME J. Appl. Mech., 50(4b), pp. 1152-1164.
  • 31
    • 0027610910 scopus 로고
    • A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized Alpha Method
    • Chung, J., and Hulbert, G. M., 1993, "A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized Alpha Method," ASME J. Appl. Mech., 60(2), pp. 371-375.
    • (1993) ASME J. Appl. Mech , vol.60 , Issue.2 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 32
    • 0005239837 scopus 로고    scopus 로고
    • Multifrequency Back-Calculation of Pavement Layer Moduli
    • Kang, Y. V., 1998, "Multifrequency Back-Calculation of Pavement Layer Moduli," J. Transp. Eng., 124(1), pp. 73-81.
    • (1998) J. Transp. Eng , vol.124 , Issue.1 , pp. 73-81
    • Kang, Y.V.1
  • 34
    • 0001279839 scopus 로고
    • Zur Theorie der Elastischen Nachwirkung
    • Boltzmann, L., 1876, "Zur Theorie der Elastischen Nachwirkung," Ann. Phys. Chem., 7, pp. 624-657.
    • (1876) Ann. Phys. Chem , vol.7 , pp. 624-657
    • Boltzmann, L.1
  • 35
    • 24744466321 scopus 로고    scopus 로고
    • Dynamics of Plate Generated by Moving Harmonic Loads
    • Sun, L., 2005, "Dynamics of Plate Generated by Moving Harmonic Loads," ASME J. Appl. Mech., 72(5), pp. 772-777.
    • (2005) ASME J. Appl. Mech , vol.72 , Issue.5 , pp. 772-777
    • Sun, L.1
  • 36
    • 0038721077 scopus 로고    scopus 로고
    • Theoretical and Experimental Analysis of Longitudinal Wave Propagation in Cylindrical Viscoelastic Rods
    • Benatar, A., Rittel, D., and Yarin, A. L., 2003, "Theoretical and Experimental Analysis of Longitudinal Wave Propagation in Cylindrical Viscoelastic Rods," J. Mech. Phys. Solids, 51(8), pp. 1413-1431.
    • (2003) J. Mech. Phys. Solids , vol.51 , Issue.8 , pp. 1413-1431
    • Benatar, A.1    Rittel, D.2    Yarin, A.L.3
  • 37
    • 0000699002 scopus 로고
    • A Three Dimensional Analytical Solution of the Longitudinal Wave Propagation in an Infinite Linear Viscoelastic Cylindrical Bar. Application to Experimental Techniques
    • Zhao, H., and Gary, G., 1995, "A Three Dimensional Analytical Solution of the Longitudinal Wave Propagation in an Infinite Linear Viscoelastic Cylindrical Bar. Application to Experimental Techniques," J. Mech. Phys. Solids, 43(8), pp. 1335-1348.
    • (1995) J. Mech. Phys. Solids , vol.43 , Issue.8 , pp. 1335-1348
    • Zhao, H.1    Gary, G.2
  • 39
    • 0004247923 scopus 로고    scopus 로고
    • The Press Syndicate of the University of Cambridge, Cambridge, UK
    • Shearer, P. M., 1999, Introduction to Seismology, The Press Syndicate of the University of Cambridge, Cambridge, UK.
    • (1999) Introduction to Seismology
    • Shearer, P.M.1
  • 45
    • 8744223021 scopus 로고    scopus 로고
    • Programs for Fast Numerical Inversion of Laplace Transforms in Matlab Language Environment
    • 99, Praha, pp
    • Brancik, L., 1999, "Programs for Fast Numerical Inversion of Laplace Transforms in Matlab Language Environment," Konference MATLAB '99, Praha, pp. 27-39.
    • (1999) Konference MATLAB , pp. 27-39
    • Brancik, L.1
  • 46
    • 0000686517 scopus 로고
    • Simultaneous Calculations of Fourier-Bessel Transforms Up to Order N
    • Candel, S. M., 1981, "Simultaneous Calculations of Fourier-Bessel Transforms Up to Order N," J. Comput. Phys., 44, pp. 243-261.
    • (1981) J. Comput. Phys , vol.44 , pp. 243-261
    • Candel, S.M.1
  • 47
    • 46349101843 scopus 로고    scopus 로고
    • ANSYS 8.0 Manual, 2003, ANSYS, Inc.
    • ANSYS 8.0 Manual, 2003, ANSYS, Inc.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.