메뉴 건너뛰기




Volumn 50, Issue 5, 2013, Pages 766-772

Wave propagation of functionally graded layers treated by recursion relations and effective boundary conditions

Author keywords

Effective boundary conditions; Elastic waves; Functionally graded materials; Interface; Thin layer

Indexed keywords

CONVERGENCE PROPERTIES; DISPLACEMENT COMPONENTS; DISPLACEMENTS AND STRESS; EXPANSION FUNCTION; FIELD REPRESENTATIONS; FUNCTIONALLY GRADED LAYERS; LAYER THICKNESS; MATERIAL PARAMETER; MATERIAL PROPERTY; NUMERICAL EXAMPLE; NUMERICAL SCHEME; POWER SERIES; RECURSION RELATIONS; SUB-LAYERS; THICKNESS DIRECTION; THIN LAYERS;

EID: 84872941811     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.11.003     Document Type: Article
Times cited : (9)

References (27)
  • 1
    • 41649113763 scopus 로고    scopus 로고
    • Modeling and analysis of functionally graded materials and structures
    • V. Birman, and L.W. Byrd Modeling and analysis of functionally graded materials and structures Applied Mechanics Reviews 60 2007 195 216
    • (2007) Applied Mechanics Reviews , vol.60 , pp. 195-216
    • Birman, V.1    Byrd, L.W.2
  • 2
    • 0026970557 scopus 로고
    • A comparison of exact first order and spring boundary conditions for scattering by thin layers
    • 175-184
    • A. Boström, P. Bövik, and P. Olsson A comparison of exact first order and spring boundary conditions for scattering by thin layers Journal of Nondestructive Evaluation 1992 11 175 184
    • (1992) Journal of Nondestructive Evaluation , pp. 11
    • Boström, A.1    Bövik, P.2    Olsson, P.3
  • 3
    • 0035310495 scopus 로고    scopus 로고
    • On the rational derivation of a hierarchy of dynamic equations for a homogeneous, isotropic, elastic plate
    • A. Boström, G. Johansson, and P. Olsson On the rational derivation of a hierarchy of dynamic equations for a homogeneous, isotropic, elastic plate International Journal of Solids and Structures 38 2001 2487 2501
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 2487-2501
    • Boström, A.1    Johansson, G.2    Olsson, P.3
  • 4
    • 78549271644 scopus 로고    scopus 로고
    • Calculation of propagation properties of Lamb waves in a functionally graded material FGM plate by power series technique
    • X. Cao, F. Jin, and L. Jeon Calculation of propagation properties of Lamb waves in a functionally graded material FGM plate by power series technique NDT & E International 44 2011 84 92
    • (2011) NDT & e International , vol.44 , pp. 84-92
    • Cao, X.1    Jin, F.2    Jeon, L.3
  • 5
    • 67349105919 scopus 로고    scopus 로고
    • Free vibration analysis of sandwich beam with FG core using the element free Galerkin method
    • M. Chehel Amirani, S. Khalili, and N. Nemati Free vibration analysis of sandwich beam with FG core using the element free Galerkin method Composite Structures 90 2009 373 379
    • (2009) Composite Structures , vol.90 , pp. 373-379
    • Chehel Amirani, M.1    Khalili, S.2    Nemati, N.3
  • 6
    • 81755170001 scopus 로고    scopus 로고
    • Pulse propagation in finite elastic inhomogeneous media
    • N. Cretu, and G. Nita Pulse propagation in finite elastic inhomogeneous media Journal of Sound and Vibration 222 2004 453 487
    • (2004) Journal of Sound and Vibration , vol.222 , pp. 453-487
    • Cretu, N.1    Nita, G.2
  • 7
    • 65549114160 scopus 로고    scopus 로고
    • Dynamic equations for fluid-loaded porous plates using approximate boundary conditions
    • P.D. Folkow, and M. Johansson Dynamic equations for fluid-loaded porous plates using approximate boundary conditions Journal of the Acoustical Society of America 125 2009 2954 2966
    • (2009) Journal of the Acoustical Society of America , vol.125 , pp. 2954-2966
    • Folkow, P.D.1    Johansson, M.2
  • 10
    • 78650714523 scopus 로고    scopus 로고
    • An analytical study of sound transmission through unbounded panels of functionally graded materials
    • C. Huang, and S. Nutt An analytical study of sound transmission through unbounded panels of functionally graded materials Journal of Sound and Vibration 330 2011 1153 1165
    • (2011) Journal of Sound and Vibration , vol.330 , pp. 1153-1165
    • Huang, C.1    Nutt, S.2
  • 14
    • 51249087720 scopus 로고    scopus 로고
    • Three-dimensional elasticity solution for Sandwich panels with a functionally graded core
    • M. Kashtalyan, and M. Menshykova Three-dimensional elasticity solution for Sandwich panels with a functionally graded core Composite Structures 87 2009 36 43
    • (2009) Composite Structures , vol.87 , pp. 36-43
    • Kashtalyan, M.1    Menshykova, M.2
  • 15
    • 38349101874 scopus 로고    scopus 로고
    • Three-dimensional vibration analysis of functionally graded material sandwich plates
    • Q. Li, V. Iu, and K. Kou Three-dimensional vibration analysis of functionally graded material sandwich plates Journal of Sound and Vibration 311 2008 498 515
    • (2008) Journal of Sound and Vibration , vol.311 , pp. 498-515
    • Li, Q.1    Iu, V.2    Kou, K.3
  • 16
    • 35148820078 scopus 로고    scopus 로고
    • Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory
    • H. Matsunaga Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory Composite Structures 82 2008 499 512
    • (2008) Composite Structures , vol.82 , pp. 499-512
    • Matsunaga, H.1
  • 17
    • 58249137997 scopus 로고    scopus 로고
    • Modelling of finite piezoelectric patches: Comparing an approximate power series expansion theory with exact theory
    • K. Mauritsson Modelling of finite piezoelectric patches: Comparing an approximate power series expansion theory with exact theory International Journal of Solids and Structures 46 2009 1053 1065
    • (2009) International Journal of Solids and Structures , vol.46 , pp. 1053-1065
    • Mauritsson, K.1
  • 19
    • 41749083495 scopus 로고    scopus 로고
    • Modelling of thin piezoelectric layers on plates
    • K. Mauritsson, A. Boström, and P.D. Folkow Modelling of thin piezoelectric layers on plates Wave Motion 45 2008 616 628
    • (2008) Wave Motion , vol.45 , pp. 616-628
    • Mauritsson, K.1    Boström, A.2    Folkow, P.D.3
  • 21
    • 0042740548 scopus 로고    scopus 로고
    • Frequency of functionally graded plates with three-dimensional asymptotic approach
    • J.N. Reddy, and Z.Q. Cheng Frequency of functionally graded plates with three-dimensional asymptotic approach Journal of Engineering Mechanics 129 2003 896 900
    • (2003) Journal of Engineering Mechanics , vol.129 , pp. 896-900
    • Reddy, J.N.1    Cheng, Z.Q.2
  • 22
    • 0027136676 scopus 로고
    • Ultrasonic wave interaction with a thin anisotropic layer between two anisotropic solids: II Second-order asymptotic boundary conditions
    • S.I. Rokhlin, and W. Huang Ultrasonic wave interaction with a thin anisotropic layer between two anisotropic solids: II Second-order asymptotic boundary conditions Journal of the Acoustical Society of America 94 1993 3405 3420
    • (1993) Journal of the Acoustical Society of America , vol.94 , pp. 3405-3420
    • Rokhlin, S.I.1    Huang, W.2
  • 23
    • 0026065874 scopus 로고
    • Analysis of boundary conditions for elastic wave interaction with an interface between two solids
    • S.I. Rokhlin, and Y.J. Wang Analysis of boundary conditions for elastic wave interaction with an interface between two solids Journal of the Acoustical Society of America 89 1991 503 515
    • (1991) Journal of the Acoustical Society of America , vol.89 , pp. 503-515
    • Rokhlin, S.I.1    Wang, Y.J.2
  • 25
    • 2142713821 scopus 로고    scopus 로고
    • Three-dimensional exact solution for the vibration of functionally graded rectangular plates
    • S.S. Vel, and R.C. Batra Three-dimensional exact solution for the vibration of functionally graded rectangular plates Journal of Sound and Vibration 272 2004 703 730
    • (2004) Journal of Sound and Vibration , vol.272 , pp. 703-730
    • Vel, S.S.1    Batra, R.C.2
  • 26
    • 70350652151 scopus 로고    scopus 로고
    • Elastic wave band gaps of one-dimensional phononic crystals with functionally graded materials
    • Wu, M.L.; Wu, L.Y.; Yang, W.P.; Chen, L.W.; 2009. Elastic wave band gaps of one-dimensional phononic crystals with functionally graded materials. Smart Materials and Structures. 18, 115013.
    • (2009) Smart Materials and Structures , vol.18 , pp. 115013
    • Wu M., .L.1    Wu L., .Y.2    Yang W., .P.3    Chen L., .W.4
  • 27
    • 55349112151 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded plates using the element-free kp-Ritz method
    • X. Zhao, Y.Y. Lee, and K.M. Liew Free vibration analysis of functionally graded plates using the element-free kp-Ritz method Journal of Sound and Vibration 319 2009 918 939
    • (2009) Journal of Sound and Vibration , vol.319 , pp. 918-939
    • Zhao, X.1    Lee, Y.Y.2    Liew, K.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.