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Volumn 162, Issue 1-4, 2003, Pages 1-27

Various numerical techniques for analysis of longitudinal wave propagation in inhomogeneous one-dimensional waveguides

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; FUNCTIONALLY GRADED MATERIALS; WAVE EQUATIONS;

EID: 0038548519     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-003-1014-5     Document Type: Article
Times cited : (14)

References (32)
  • 2
    • 0037694665 scopus 로고
    • Inhomogeneous plane waves in viscous fluids
    • Boulanger, P., Hayes, M.: Inhomogeneous plane waves in viscous fluids. Cont. Mech. Thermodyn. 2, 1 (1990).
    • (1990) Cont. Mech. Thermodyn. , vol.2 , pp. 1
    • Boulanger, P.1    Hayes, M.2
  • 4
  • 5
    • 33847567833 scopus 로고
    • The reflection and refraction of waves at an interface between viscoelastic materials
    • Lockett, F. J.: The reflection and refraction of waves at an interface between viscoelastic materials. J. Mech. Phys. Solids 10, 58 (1962).
    • (1962) J. Mech. Phys. Solids , vol.10 , pp. 58
    • Lockett, F.J.1
  • 6
    • 0001593636 scopus 로고
    • Reflection and transmission of oblique plane waves at a plane interface between viscoelastic media
    • Cooper, H. F.: Reflection and transmission of oblique plane waves at a plane interface between viscoelastic media. J. Acoust. Soc. Am. 42, 1064 (1967).
    • (1967) J. Acoust. Soc. Am. , vol.42 , pp. 1064
    • Cooper, H.F.1
  • 7
    • 0012683264 scopus 로고
    • Complex harmonic plane waves
    • (Leroy, O., Breazeale, M. A., eds.) New York: Plenum Press
    • Poiree, B.: Complex harmonic plane waves. In: Physical acoustics (Leroy, O., Breazeale, M. A., eds.) New York: Plenum Press 1991.
    • (1991) Physical Acoustics
    • Poiree, B.1
  • 8
    • 0032162501 scopus 로고    scopus 로고
    • Thermomechanical analysis of functionally graded cylinders and plates
    • Reddy, J. N., Chin, C. D.: Thermomechanical analysis of functionally graded cylinders and plates. J. Thermal Stresses 26, 593-626 (1998).
    • (1998) J. Thermal Stresses , vol.26 , pp. 593-626
    • Reddy, J.N.1    Chin, C.D.2
  • 9
    • 0032209936 scopus 로고    scopus 로고
    • Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
    • Praveen, G. N., Reddy, J. N.: Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int. J. Solids Struct. 35, 4457-4476 (1998).
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 4457-4476
    • Praveen, G.N.1    Reddy, J.N.2
  • 10
    • 0033908920 scopus 로고    scopus 로고
    • Analysis of functionally graded plates
    • Reddy, J. N.: Analysis of functionally graded plates. Int. J. Num. Meth. Engng 47, 663-684 (2000).
    • (2000) Int. J. Num. Meth. Engng , vol.47 , pp. 663-684
    • Reddy, J.N.1
  • 11
    • 0033114817 scopus 로고    scopus 로고
    • The elastic response of functionally graded cylindrical shells to low-velocity impact
    • Gong, S. W., Lam, K. Y., Reddy, J. N.: The elastic response of functionally graded cylindrical shells to low-velocity impact. Int. J. Impact Engng 22, 397-417 (1999).
    • (1999) Int. J. Impact Engng , vol.22 , pp. 397-417
    • Gong, S.W.1    Lam, K.Y.2    Reddy, J.N.3
  • 12
    • 0032683892 scopus 로고    scopus 로고
    • Stress wave in functionally gradient materials and its use for material characterization
    • Liu, G. R., Han, X., Lam, K. Y.: Stress wave in functionally gradient materials and its use for material characterization. Comp. Part B 30, 383-394 (1999).
    • (1999) Comp. Part B , vol.30 , pp. 383-394
    • Liu, G.R.1    Han, X.2    Lam, K.Y.3
  • 13
    • 0028530585 scopus 로고
    • Surface waves in functionally gradient piezoelectric plates
    • Liu, G. R., Tani, J.: Surface waves in functionally gradient piezoelectric plates. ASME J. Vibration Acoustics 116, 440-448 (1994).
    • (1994) ASME J. Vibration Acoustics , vol.116 , pp. 440-448
    • Liu, G.R.1    Tani, J.2
  • 15
    • 0037196207 scopus 로고    scopus 로고
    • Characteristics of waves in a functionally graded cylinder
    • Han, X., Liu, G. R., Xi, Z. C., Lam, K. Y.: Characteristics of waves in a functionally graded cylinder. Int. J. Num. Meth. Engng. 53, 653-676 (2002).
    • (2002) Int. J. Num. Meth. Engng. , vol.53 , pp. 653-676
    • Han, X.1    Liu, G.R.2    Xi, Z.C.3    Lam, K.Y.4
  • 16
    • 0035923349 scopus 로고    scopus 로고
    • Transient waves in plates of functionally graded materials
    • Han, X., Liu, G. R., Lam, K. Y.: Transient waves in plates of functionally graded materials. Int. J. Num. Meth. Engng. 52, 851-865 (2002).
    • (2002) Int. J. Num. Meth. Engng. , vol.52 , pp. 851-865
    • Han, X.1    Liu, G.R.2    Lam, K.Y.3
  • 17
  • 18
    • 0037992626 scopus 로고    scopus 로고
    • A spectrally formulated finite element for wave propagation analysis in functionally graded beams
    • Chakraborty, A., Gopalakrishnan, S.: A spectrally formulated finite element for wave propagation analysis in functionally graded beams. (accepted in Int. J. Solids Struct.)
    • Int. J. Solids Struct.
    • Chakraborty, A.1    Gopalakrishnan, S.2
  • 19
    • 0004261332 scopus 로고
    • Mexico: Cambridge University Press
    • Hinch, E. J.: Perturbation methods. Mexico: Cambridge University Press 1991.
    • (1991) Perturbation Methods
    • Hinch, E.J.1
  • 20
    • 0037694668 scopus 로고    scopus 로고
    • Poisson's contraction effects in a deep laminated composite beam
    • Chakraborty, A., Gopalakrishnan, S.: Poisson's contraction effects in a deep laminated composite beam, (to appear in Mech. of Adv. Mater.)
    • Mech. of Adv. Mater.
    • Chakraborty, A.1    Gopalakrishnan, S.2
  • 21
    • 0036137831 scopus 로고    scopus 로고
    • Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities
    • Chakraborty, A., Mahapatra, D. R., Gopalakrishnan, S.: Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities. Comp. Struct. 55, 23-36 (2002).
    • (2002) Comp. Struct. , vol.55 , pp. 23-36
    • Chakraborty, A.1    Mahapatra, D.R.2    Gopalakrishnan, S.3
  • 23
    • 0028480309 scopus 로고
    • Wave propagation in connected waveguides of varying cross-section
    • Gopalakrishnan, S., Doyle, J. F.: Wave propagation in connected waveguides of varying cross-section. J. Sound Vibr. 175, 347-363 (1994).
    • (1994) J. Sound Vibr. , vol.175 , pp. 347-363
    • Gopalakrishnan, S.1    Doyle, J.F.2
  • 25
    • 0000259887 scopus 로고    scopus 로고
    • Numerical methods for higher-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems
    • Ciarlet, P., Schultz, M., Varga, R.: Numerical methods for higher-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems. Numer. Math. 12, 120-133 (1968).
    • Numer. Math. , vol.12 , pp. 120-133
    • Ciarlet, P.1    Schultz, M.2    Varga, R.3
  • 27
    • 0010611682 scopus 로고
    • Sturm-Liouville eigenvalues via a phase function
    • Bailey, P. B.: Sturm-Liouville eigenvalues via a phase function. SIAM J. Appl. Math. 14, 242-249 (1966).
    • (1966) SIAM J. Appl. Math. , vol.14 , pp. 242-249
    • Bailey, P.B.1
  • 29
    • 21344447700 scopus 로고    scopus 로고
    • Regular and singular Sturm-Liouville problems with coupled boundary conditions
    • Bailey, P. B., Everitt, W. N., Zettl, A.: Regular and singular Sturm-Liouville problems with coupled boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 126, 505-514 (1996).
    • (1996) Proc. Roy. Soc. Edinburgh Sect. A , vol.126 , pp. 505-514
    • Bailey, P.B.1    Everitt, W.N.2    Zettl, A.3
  • 32
    • 0000539446 scopus 로고
    • Finite element accuracy for wave propagation problems
    • Kuhlemeyer, R. L., Lysmer, J.: Finite element accuracy for wave propagation problems. J. Soil Mech. Found. Div. ASCE. 99, 421-427 (1973).
    • (1973) J. Soil Mech. Found. Div. ASCE. , vol.99 , pp. 421-427
    • Kuhlemeyer, R.L.1    Lysmer, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.