메뉴 건너뛰기




Volumn 56, Issue 3, 2003, Pages 287-308

Historical review of Zig-Zag theories for multilayered plates and shells

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MULTILAYERS; PLATES (STRUCTURAL COMPONENTS); SHEAR STRESS; SHELLS (STRUCTURES); STIFFNESS; STRESS ANALYSIS; THEOREM PROVING;

EID: 0742281181     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1557614     Document Type: Review
Times cited : (1033)

References (139)
  • 1
    • 0000890460 scopus 로고
    • Sur l'équilibre et le mouvement d'une plaque solide
    • Cauchy AL (1828), Sur l'équilibre et le mouvement d'une plaque solide, Exercises de Matematique 3, 328-355.
    • (1828) Exercises De Matematique , vol.3 , pp. 328-355
    • Cauchy, A.L.1
  • 2
    • 13444250667 scopus 로고
    • Memoire sur l'équilibre et le mouvement des corps elastique
    • Poisson SD (1829), Memoire sur l'équilibre et le mouvement des corps elastique, Mem. Acad. Sci. 8, 357.
    • (1829) Exercises De Matematique , Issue.8-357
    • Poisson, S.D.1
  • 3
    • 84930244279 scopus 로고
    • Über das Gleichgewicht und die Bewegung einer elastischen Scheibe
    • Kirchhoff G (1850), Über das Gleichgewicht und die Bewegung einer elastischen Scheibe, J Angew Math 40, 51-88.
    • (1850) J Angew Math , vol.40 , pp. 51-88
    • Kirchhoff, G.1
  • 5
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • Reissner E (1945), The effect of transverse shear deformation on the bending of elastic plates, ASME J. Appl. Mech. 12, 69-76.
    • (1945) ASME J. Appl. Mech. , vol.12 , pp. 69-76
    • Reissner, E.1
  • 6
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear in flexural motions of Isotropic elastic plates
    • Mindlin RD (1951), Influence of rotatory inertia and shear in flexural motions of Isotropic elastic plates, ASME J. Appl. Mech. 18, 1031-1036.
    • (1951) ASME J. Appl. Mech. , vol.18 , pp. 1031-1036
    • Mindlin, R.D.1
  • 8
    • 84964144652 scopus 로고
    • Exact solutions for composite laminates in cylindrical bending
    • Pagano NJ (1969), Exact solutions for composite laminates in cylindrical bending, J. Compos. Mater. 3, 398-411.
    • (1969) J. Compos. Mater. , vol.3 , pp. 398-411
    • Pagano, N.J.1
  • 9
    • 0002905077 scopus 로고
    • A class of two dimensional theories for multilayered plates analysis
    • Carrera E (1995), A class of two dimensional theories for multilayered plates analysis, Atti Acc Sci Torino, Mem Sci Fis (19-20), 49-87.
    • (1995) Atti Acc Sci Torino, Mem Sci Fis , Issue.19-20 , pp. 49-87
    • Carrera, E.1
  • 11
    • 0001839710 scopus 로고
    • A consistent first approximations in the general theory of thin elastic shells
    • Aug 1959, North-Holland, Amsterdam
    • Koiter WT (1959), A consistent first approximations in the general theory of thin elastic shells, Proc of Symp. on the Theory of Thin Elastic Shells, Aug 1959, North-Holland, Amsterdam, 12-23.
    • (1959) Proc of Symp. on the Theory of Thin Elastic Shells , pp. 12-23
    • Koiter, W.T.1
  • 12
    • 0000113677 scopus 로고
    • Contributions to the theory of anisotropic layered shells
    • Ambartsumian SA (1962), Contributions to the theory of anisotropic layered shells, Appl. Mech. Rev. 15, 245-249.
    • (1962) Appl. Mech. Rev. , vol.15 , pp. 245-249
    • Ambartsumian, S.A.1
  • 13
    • 19744383467 scopus 로고    scopus 로고
    • Nontraditional theories of shells and plates
    • Ambartsumian SA (2002), Nontraditional theories of shells and plates, Appl. Mech. Rev. 55(5), R35-R44.
    • (2002) Appl. Mech. Rev. , vol.55 , Issue.5
    • Ambartsumian, S.A.1
  • 14
    • 0002228725 scopus 로고
    • The present status of the theory of multilayered shells
    • Grigolyuk EI and Kogan PA (1972), The present status of the theory of multilayered shells, Prikl. Mekh. 8, 3-17.
    • (1972) Prikl. Mekh. , vol.8 , pp. 3-17
    • Grigolyuk, E.I.1    Kogan, P.A.2
  • 15
    • 0003150341 scopus 로고
    • A critical review and generalization of transverse shear deformable anisotropic plates
    • Euromech Colloquium 219, Kassel, Sept (1986), I Elishakoff and Irretier (eds), Springer Verlag, Berlin (1987)
    • Librescu L and Reddy JN (1986), A critical review and generalization of transverse shear deformable anisotropic plates, Euromech Colloquium 219, Kassel, Sept (1986), Refined Dynamical Theories of Beams, Plates and Shells and Their Applications, I Elishakoff and Irretier (eds), Springer Verlag, Berlin (1987), 32-43.
    • (1986) Refined Dynamical Theories of Beams, Plates and Shells and Their Applications , pp. 32-43
    • Librescu, L.1    Reddy, J.N.2
  • 16
    • 16344378572 scopus 로고
    • A review of laminated composite plate buckling
    • Leissa AW (1987), A review of laminated composite plate buckling, Appl. Mech. Rev. 40(5), 575-591.
    • (1987) Appl. Mech. Rev. , vol.40 , Issue.5 , pp. 575-591
    • Leissa, A.W.1
  • 18
    • 0024703597 scopus 로고
    • Recent advances in analysis of laminated beams and plates
    • Kapania RK and Raciti S (1989), Recent advances in analysis of laminated beams and plates, AIAA J. 27(7), 923-946.
    • (1989) AIAA J. , vol.27 , Issue.7 , pp. 923-946
    • Kapania, R.K.1    Raciti, S.2
  • 19
    • 0024657435 scopus 로고
    • A review on the analysis of laminated shells
    • Kapania RK (1989), A review on the analysis of laminated shells, ASME J. Pressure Vessel Technol. 111(2), 88-96.
    • (1989) ASME J. Pressure Vessel Technol. , vol.111 , Issue.2 , pp. 88-96
    • Kapania, R.K.1
  • 20
    • 85010134310 scopus 로고
    • Assessment of shear deformation theories for multilayered composite plates
    • Noor AK and Burton WS (1989), Assessment of shear deformation theories for multilayered composite plates, Appl. Mech. Rev. 42(1), 1-18.
    • (1989) Appl. Mech. Rev. , vol.42 , Issue.1 , pp. 1-18
    • Noor, A.K.1    Burton, W.S.2
  • 21
    • 33745556349 scopus 로고
    • Assessment of computational models for multilayered composite shells
    • Noor AK and Burton WS (1990), Assessment of computational models for multilayered composite shells, Appl. Mech. Rev. 43(4), 67-97.
    • (1990) Appl. Mech. Rev. , vol.43 , Issue.4 , pp. 67-97
    • Noor, A.K.1    Burton, W.S.2
  • 22
    • 0000513763 scopus 로고
    • On kinematical assumptions of refined theories of plates: A survey
    • Jemlelita G (1990), On kinematical assumptions of refined theories of plates: A survey, ASME J. Appl. Mech. 57, 1080-1091.
    • (1990) ASME J. Appl. Mech. , vol.57 , pp. 1080-1091
    • Jemlelita, G.1
  • 23
    • 0026626348 scopus 로고
    • On refined theories of beams, plates and shells
    • Vasiliev VV and Lur'e SA (1992), On refined theories of beams, plates and shells, J. Compos. Mater. 26, 422-430.
    • (1992) J. Compos. Mater. , vol.26 , pp. 422-430
    • Vasiliev, V.V.1    Lur'e, S.A.2
  • 24
    • 85015584826 scopus 로고
    • Theories and computational models for composite laminates
    • Reddy JN and Robbins DH (1994), Theories and computational models for composite laminates, Appl. Mech. Rev. 47(6), 147-165.
    • (1994) Appl. Mech. Rev. , vol.47 , Issue.6 , pp. 147-165
    • Reddy, J.N.1    Robbins, D.H.2
  • 25
    • 0030102196 scopus 로고    scopus 로고
    • Computational model for sandwich panels and shells
    • Noor AK, Burton S, and Bert CW (1996), Computational model for sandwich panels and shells, Appl. Mech. Rev. 49(3), 155-199.
    • (1996) Appl. Mech. Rev. , vol.49 , Issue.3 , pp. 155-199
    • Noor, A.K.1    Burton, S.2    Bert, C.W.3
  • 26
    • 0040456817 scopus 로고    scopus 로고
    • Kinematic models of refined theories concerning composite beams, plates and shells
    • Lur'e SA and Shumova NP (1996), Kinematic models of refined theories concerning composite beams, plates and shells, Int., Appl. Mech. 32, 422-430.
    • (1996) Int., Appl. Mech. , vol.32 , pp. 422-430
    • Lur'e, S.A.1    Shumova, N.P.2
  • 27
    • 0030313833 scopus 로고    scopus 로고
    • Approaches to numerical solution of linear and nonlinear problems in shell theory in classical and refined formulations
    • Grigorenko YaM (1996), Approaches to numerical solution of linear and nonlinear problems in shell theory in classical and refined formulations, Int., Appl. Mech. 32, 409-442.
    • (1996) Int., Appl. Mech. , vol.32 , pp. 409-442
    • Grigorenko, Ya.M.1
  • 28
    • 0032068582 scopus 로고    scopus 로고
    • Solution of problems and analysis of the stress strain state of non-uniform anisotropic shells (survey)
    • Grigorenko YaM and Vasilenko AT (1997), Solution of problems and analysis of the stress strain state of non-uniform anisotropic shells (survey), Int., Appl. Mech. 33, 851-880.
    • (1997) Int., Appl. Mech. , vol.33 , pp. 851-880
    • Grigorenko, Ya.M.1    Vasilenko, A.T.2
  • 29
    • 0032333735 scopus 로고    scopus 로고
    • Theories for laminated and sandwich plates. A review
    • Altenbach H (1998), Theories for laminated and sandwich plates. A review, Int., Appl. Mech. 34, 243-252.
    • (1998) Int., Appl. Mech. , vol.34 , pp. 243-252
    • Altenbach, H.1
  • 30
    • 13344279435 scopus 로고    scopus 로고
    • Developments, ideas and evaluations based upon the Reissner's mixed theorem in the modeling of multilayered plates and shells
    • Carrera E (2001), Developments, ideas and evaluations based upon the Reissner's mixed theorem in the modeling of multilayered plates and shells, Appl. Mech. Rev. 54(4), 301-329.
    • (2001) Appl. Mech. Rev. , vol.54 , Issue.4 , pp. 301-329
    • Carrera, E.1
  • 31
    • 13444283087 scopus 로고
    • Translated from the 2nd Russian Edited by SW Tsai and Cheron, Bordon and Breach
    • Lekhnitskii SG (1968), Anisotropic Plates, 2nd Edition, Translated from the 2nd Russian Edited by SW Tsai and Cheron, Bordon and Breach.
    • (1968) Anisotropic Plates, 2nd Edition
    • Lekhnitskii, S.G.1
  • 32
    • 0003800066 scopus 로고
    • Fizmatzig, Moskwa; Translated from Russian, NASA TTF-118 (1964)
    • Ambartsumian SA (1961), Theory of Anisotropic Shells, Fizmatzig, Moskwa; Translated from Russian, NASA TTF-118 (1964).
    • (1961) Theory of Anisotropic Shells
    • Ambartsumian, S.A.1
  • 33
    • 0003800066 scopus 로고
    • Translated from Russian by T Cheron and Edited by JE Ashton Tech Pub Co.
    • Ambartsumian SA (1969), Theory of Anisotropic Plates, Translated from Russian by T Cheron and Edited by JE Ashton Tech Pub Co.
    • (1969) Theory of Anisotropic Plates
    • Ambartsumian, S.A.1
  • 37
    • 0009974115 scopus 로고
    • On the theory of plates of medium thickness
    • Ponyatovskii VV (1962), On the theory of plates of medium thickness, Prikl. Mat. Mekh. 26, 335-441.
    • (1962) Prikl. Mat. Mekh. , vol.26 , pp. 335-441
    • Ponyatovskii, V.V.1
  • 38
    • 0041070979 scopus 로고
    • Use of the method of asymptotic integration to construct an approximate theory of anisotropic shells
    • Agolovyan LA (1966), Use of the method of asymptotic integration to construct an approximate theory of anisotropic shells, Prikl. Mat. Mekh. 30, 388-398.
    • (1966) Prikl. Mat. Mekh. , vol.30 , pp. 388-398
    • Agolovyan, L.A.1
  • 39
    • 0001613339 scopus 로고
    • Method of veryfing the theory of shells
    • Gold' enveizer LP (1968), Method of veryfing the theory of shells, Prikl. Mat. Mekh. 32, 684-695.
    • (1968) Prikl. Mat. Mekh. , vol.32 , pp. 684-695
    • Gold'Enveizer, L.P.1
  • 40
    • 0016105738 scopus 로고
    • Asymptotic solutions for orthotropic non-homogeneous shells of revolution
    • Fettahlioglu OA and Steele CR (1974), Asymptotic solutions for orthotropic non-homogeneous shells of revolution, ASME J. Appl. Mech. 44, 753-758.
    • (1974) ASME J. Appl. Mech. , vol.44 , pp. 753-758
    • Fettahlioglu, O.A.1    Steele, C.R.2
  • 41
    • 0003321174 scopus 로고
    • Construction of a theory of flexure plates of moderate thickness by an ergonomic asymptotic method
    • Prusakov AP (1975), Construction of a theory of flexure plates of moderate thickness by an ergonomic asymptotic method, Prikl. Mekh. 11, 44-51.
    • (1975) Prikl. Mekh. , vol.11 , pp. 44-51
    • Prusakov, A.P.1
  • 42
    • 13444255721 scopus 로고
    • Constructing an improved theory of two-layered plates
    • Prusakov AP and Plekhanov AV (1977), Constructing an improved theory of two-layered plates, Prikl. Mekh. 13, 59-75.
    • (1977) Prikl. Mekh. , vol.13 , pp. 59-75
    • Prusakov, A.P.1    Plekhanov, A.V.2
  • 43
    • 0023960534 scopus 로고
    • On the derivation of a refined theory for non-homogeneous anisotropic shells of revolution
    • Widera GEO and Fan H (1988), On the derivation of a refined theory for non-homogeneous anisotropic shells of revolution, ASME J. Appl. Mech. 110, 102-105.
    • (1988) ASME J. Appl. Mech. , vol.110 , pp. 102-105
    • Geo, W.1    Fan, H.2
  • 44
    • 0027659021 scopus 로고
    • Application of the variational-asymptotic method to laminated composite plates
    • Hodges DH, Lee BW, and Atilgan AR (1993), Application of the variational-asymptotic method to laminated composite plates, AIAA J. 31, 1674-1983.
    • (1993) AIAA J. , vol.31 , pp. 1674-1983
    • Hodges, D.H.1    Lee, B.W.A.2    Atilgan, A.R.3
  • 45
    • 0030269379 scopus 로고    scopus 로고
    • On asymptotically correct linear laminated plate theory
    • Satyrin VG and Hodges DH (1996), On asymptotically correct linear laminated plate theory, Int. J. Solids Struct. 33, 3649-3671.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 3649-3671
    • Satyrin, V.G.1    Hodges, D.H.2
  • 46
    • 0030623193 scopus 로고    scopus 로고
    • Analysis of the theory of bending of transversally isotropic plates
    • Prusakov AP (1996), Analysis of the theory of bending of transversally isotropic plates, Int., Appl. Mech. 32, 554-559.
    • (1996) Int., Appl. Mech. , vol.32 , pp. 554-559
    • Prusakov, A.P.1
  • 47
    • 13444305935 scopus 로고
    • On the theory of anisotropic shells which are free from the kinematic hypothesis of a normal element
    • Savin GN and Khoma LYu (1971), On the theory of anisotropic shells which are free from the kinematic hypothesis of a normal element, Prikl. Mekh. 7, 9-15.
    • (1971) Prikl. Mekh. , vol.7 , pp. 9-15
    • Savin, G.N.1    Khoma, L.Yu.2
  • 48
    • 0002086546 scopus 로고
    • Derivation of equations for laminate plates and shells
    • Khoroshun LP (1978), Derivation of equations for laminate plates and shells, Prikl. Mekh. 14, 3-21.
    • (1978) Prikl. Mekh. , vol.14 , pp. 3-21
    • Khoroshun, L.P.1
  • 49
    • 0141604641 scopus 로고
    • The non linear bending of gently sloping multilayer shells
    • Prusakov AP (1971), The non linear bending of gently sloping multilayer shells, Prikl. Mekh. 7, 3-8.
    • (1971) Prikl. Mekh. , vol.7 , pp. 3-8
    • Prusakov, A.P.1
  • 50
    • 0017913730 scopus 로고
    • Stress fields in composite laminates
    • Pagano NJ (1978), Stress fields in composite laminates, Int. J. Solids Struct. 14, 385-400.
    • (1978) Int. J. Solids Struct. , vol.14 , pp. 385-400
    • Pagano, N.J.1
  • 51
    • 0022506568 scopus 로고
    • A refined mixed shear flexible finite element for the nonlinear analysis of laminated plates
    • Putcha NS and Reddy JN (1986), A refined mixed shear flexible finite element for the nonlinear analysis of laminated plates, Compos. Struct. 22, 529-538.
    • (1986) Compos. Struct. , vol.22 , pp. 529-538
    • Putcha, N.S.1    Reddy, J.N.2
  • 52
    • 0031223551 scopus 로고    scopus 로고
    • Toward a theory of bending of laminated plates, Int
    • Prusakov AP (1997), Toward a theory of bending of laminated plates, Int., Appl. Mech. 33, 227-232.
    • (1997) Appl. Mech. , vol.33 , pp. 227-232
    • Prusakov, A.P.1
  • 53
    • 0032634030 scopus 로고    scopus 로고
    • Mixed variational formula for the thermal bending of laminated plates
    • Fares ME and Zenkour AM (1998), Mixed variational formula for the thermal bending of laminated plates, J. Therm. Stresses 22, 347-365.
    • (1998) J. Therm. Stresses , vol.22 , pp. 347-365
    • Fares, M.E.1    Zenkour, A.M.2
  • 54
    • 0008730835 scopus 로고
    • Theory of viscolesatic multilayered shells with hard filler
    • Grigolyuk EI and Chulkov PP (1964), Theory of viscolesatic multilayered shells with hard filler, Prikl. Mekh. Tekh. Fiz. 5, 109-117.
    • (1964) Prikl. Mekh. Tekh. Fiz. , vol.5 , pp. 109-117
    • Grigolyuk, E.I.1    Chulkov, P.P.2
  • 56
    • 0001175206 scopus 로고
    • Free vibrations of thick, layered cylinders having finite length with various boundary conditions
    • Cheung YK and Wu CI (1972), Free vibrations of thick, layered cylinders having finite length with various boundary conditions, J. Sound Vib. 24, 189-200.
    • (1972) J. Sound Vib. , vol.24 , pp. 189-200
    • Cheung, Y.K.1    Wu, C.I.2
  • 57
    • 0000691622 scopus 로고
    • A refined analysis of composite laminates
    • Srinivas S (1973), A refined analysis of composite laminates, J. Sound Vib. 30, 495-507.
    • (1973) J. Sound Vib. , vol.30 , pp. 495-507
    • Srinivas, S.1
  • 58
    • 0039831163 scopus 로고
    • Refined theory of laminated plates
    • Chepiga S (1976), Refined theory of laminated plates, Prikl. Mekh. 12, 45-49.
    • (1976) Prikl. Mekh. , vol.12 , pp. 45-49
    • Chepiga, S.1
  • 60
    • 0026120773 scopus 로고
    • Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory
    • Cho KN, Bert CW, and Striz AC (1991), Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory, J. Sound Vib. 145, 429-442.
    • (1991) J. Sound Vib. , vol.145 , pp. 429-442
    • Cho, K.N.1    Bert, C.W.2    Striz, A.C.3
  • 61
    • 0027539452 scopus 로고
    • Modeling of thick composites using a layer-wise theory
    • Robbins Jr. DH and Reddy JN (1993), Modeling of thick composites using a layer-wise theory, Int. J. Numer. Methods Eng. 36, 655-677.
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 655-677
    • Robbins Jr., D.H.1    Reddy, J.N.2
  • 63
    • 34247187047 scopus 로고
    • On a general theory of anisotropic shells
    • Ambartsumian SA (1958), On a general theory of anisotropic shells, Prikl. Mat. Mekh. 22(2), 226-237.
    • (1958) Prikl. Mat. Mekh. , vol.22 , Issue.2 , pp. 226-237
    • Ambartsumian, S.A.1
  • 64
    • 0021461290 scopus 로고
    • On a certain mixed variational theory and a proposed application
    • Reissner E (1984), On a certain mixed variational theory and a proposed application, Int. J. Numer. Methods Eng. 20, 1366-1368.
    • (1984) Int. J. Numer. Methods Eng. , vol.20 , pp. 1366-1368
    • Reissner, E.1
  • 65
    • 0022900207 scopus 로고
    • A new theory of laminated plates
    • Ren JG (1986), A new theory of laminated plates, Compos. Sci. Technol 26, 225-239.
    • (1986) Compos. Sci. Technol , vol.26 , pp. 225-239
    • Ren, J.G.1
  • 66
    • 0022900207 scopus 로고
    • Bending theory of laminated plates
    • Ren JG (1986), Bending theory of laminated plates, Compos. Sci. Technol. 27, 225-248.
    • (1986) Compos. Sci. Technol. , vol.27 , pp. 225-248
    • Ren, J.G.1
  • 67
    • 0024908074 scopus 로고
    • Vibration and buckling of laminated plates
    • Ren JG and Owen DRJ (1989), Vibration and buckling of laminated plates, Int. J. Solids Struct. 25, 95-106.
    • (1989) Int. J. Solids Struct. , vol.25 , pp. 95-106
    • Ren, J.G.1    Owen, D.R.J.2
  • 69
    • 0026420043 scopus 로고
    • The Effects of shear deformation and curvature on buckling and vibrations of cross-ply laminated composite shells
    • Carrera E (1991), The Effects of shear deformation and curvature on buckling and vibrations of cross-ply laminated composite shells, J. Sound Vib. 151, 405-433.
    • (1991) J. Sound Vib. , vol.151 , pp. 405-433
    • Carrera, E.1
  • 74
    • 13444253519 scopus 로고    scopus 로고
    • Investigation of stress-strained state of tapered orthotropic shells and plates on the basis of second order shear theory
    • Piskunov VG and Rasskazov AA (1998), Investigation of stress-strained state of tapered orthotropic shells and plates on the basis of second order shear theory, Prikl. Mekh. 20, 82-87.
    • (1998) Prikl. Mekh. , vol.20 , pp. 82-87
    • Piskunov, V.G.1    Rasskazov, A.A.2
  • 75
    • 84932218279 scopus 로고
    • On the theory of multilayered anisotropic shells
    • Izd. Kaz., Un., Kazan
    • Teregulov AG (1970), On the theory of multilayered anisotropic shells, Inv. Theory of Plates and Shells, No 6-7, Izd. Kaz., Un., Kazan.
    • (1970) Inv. Theory of Plates and Shells , vol.6-7
    • Teregulov, A.G.1
  • 76
    • 0003144204 scopus 로고
    • Taking account of non-uniformity of transverse displacements deformation in the thickness of layered shells
    • Grigorenko YaM and Vasilenko AT (1977), Taking account of non-uniformity of transverse displacements deformation in the thickness of layered shells, Prikl. Mekh. 13, 36-42.
    • (1977) Prikl. Mekh. , vol.13 , pp. 36-42
    • Grigorenko, Ya.M.1    Vasilenko, A.T.2
  • 77
    • 0010003863 scopus 로고
    • A variation of the theory of elastic multilayer anisotropic plates
    • Andreev AN and Nemirovoskii YuV (1978), A variation of the theory of elastic multilayer anisotropic plates, Prikl. Mekh. 14, 55-62.
    • (1978) Prikl. Mekh. , vol.14 , pp. 55-62
    • Andreev, A.N.1    Nemirovoskii, Yu.V.2
  • 80
    • 0141604641 scopus 로고
    • Nonlinear bending equations of shallow multilayered shells
    • Prusakov AP (1971), Nonlinear bending equations of shallow multilayered shells, Prikl. Mekh. 7(3), 3-8.
    • (1971) Prikl. Mekh. , vol.7 , Issue.3 , pp. 3-8
    • Prusakov, A.P.1
  • 81
    • 13444257128 scopus 로고
    • Fundamental equations of the theory of multilayered shells taking account of transverse shear strain
    • Budivelnik, Kiev
    • Rybov AF (1964), Fundamental equations of the theory of multilayered shells taking account of transverse shear strain. Strength of Mat and Th of Struct, No 3, Budivelnik, Kiev.
    • (1964) Strength of Mat and Th of Struct , vol.3
    • Rybov, A.F.1
  • 82
    • 13444281044 scopus 로고
    • On the theory multilayered shell shells with filler
    • Izd Khakosvsk Univ, Kharkov
    • Rybov AF (1967), On the theory multilayered shell shells with filler, Air Force Construction and Air Force Eng No 11, Izd Khakosvsk Univ, Kharkov.
    • (1967) Air Force Construction and Air Force Eng No 11 , vol.11
    • Rybov, A.F.1
  • 83
    • 0040781414 scopus 로고
    • Theory of multilayer orthotropic shallow shells
    • Rasskazov AO (1976), Theory of multilayer orthotropic shallow shells, Prikl. Mekh. 12, 50-76.
    • (1976) Prikl. Mekh. , vol.12 , pp. 50-76
    • Rasskazov, A.O.1
  • 84
    • 0039465874 scopus 로고
    • Vibration theory of multilayer orthotropic shells
    • Rasskazov AO (1977), Vibration theory of multilayer orthotropic shells, Prikl. Mekh. 13, 23-29.
    • (1977) Prikl. Mekh. , vol.13 , pp. 23-29
    • Rasskazov, A.O.1
  • 85
    • 0040219359 scopus 로고
    • Calculation of multilayer orthotropic shallow shells by the method of finite element
    • Rasskazov AO (1978), Calculation of multilayer orthotropic shallow shells by the method of finite element, Prikl Mekh. 14, 51-56.
    • (1978) Prikl Mekh. , vol.14 , pp. 51-56
    • Rasskazov, A.O.1
  • 86
    • 0141716363 scopus 로고
    • Stability of multilayer orthotropic shells
    • Rasskazov AO (1978), Stability of multilayer orthotropic shells, Prikl Mekh. 14, 62-66.
    • (1978) Prikl Mekh. , vol.14 , pp. 62-66
    • Rasskazov, A.O.1
  • 87
    • 13444271514 scopus 로고
    • Analysis of multilayered orthotropic shells of revolution with finite shear stiffness
    • Rasskazov AO, Karpilovskii VS, Iosenko VI, and Kharchenko NG (1986), Analysis of multilayered orthotropic shells of revolution with finite shear stiffness, Prikl. Mekh. 24, 24-28.
    • (1986) Prikl. Mekh. , vol.24 , pp. 24-28
    • Rasskazov, A.O.1    Karpilovskii, V.S.2    Iosenko, V.I.3    Kharchenko, N.G.4
  • 88
    • 0002424546 scopus 로고
    • Refinement of shear theory of laminated orthotropic sloping shells
    • Rasskazov AO and Burygina NG (1986), Refinement of shear theory of laminated orthotropic sloping shells, Prikl. Mekh. 24, 32-37.
    • (1986) Prikl. Mekh. , vol.24 , pp. 32-37
    • Rasskazov, A.O.1    Burygina, N.G.2
  • 91
    • 13444270111 scopus 로고
    • Allowance of transverse compression in problems of the static of laminated shells
    • Vasilenko AT (1986), Allowance of transverse compression in problems of the static of laminated shells, Prikl. Mekh. 13, 28-36.
    • (1986) Prikl. Mekh. , vol.13 , pp. 28-36
    • Vasilenko, A.T.1
  • 92
    • 0014547217 scopus 로고
    • The effects of transverse shear deformation on the bending of laminated plates
    • Whitney JM (1969), The effects of transverse shear deformation on the bending of laminated plates, J. Compos. Mater. 3, 534-547.
    • (1969) J. Compos. Mater. , vol.3 , pp. 534-547
    • Whitney, J.M.1
  • 93
    • 0001480731 scopus 로고
    • Vibration of layered shells
    • Rath BK and Das YC (1973), Vibration of layered shells, J. Sound Vib. 28, 737-757.
    • (1973) J. Sound Vib. , vol.28 , pp. 737-757
    • Rath, B.K.1    Das, Y.C.2
  • 94
    • 0015585606 scopus 로고
    • On the theories for the dynamic response of laminated plates
    • Sun CT and Whitney JM (1973), On the theories for the dynamic response of laminated plates, AIAA J. 11, 372-398.
    • (1973) AIAA J. , vol.11 , pp. 372-398
    • Sun, C.T.1    Whitney, J.M.2
  • 95
    • 85007703301 scopus 로고
    • A theory of laminated cylindrical shells consisting of layers of orthotropic laminae
    • Hsu TM and Wang JTS (1970), A theory of laminated cylindrical shells consisting of layers of orthotropic laminae, AIAA J. 8, 2141-2146.
    • (1970) AIAA J. , vol.8 , pp. 2141-2146
    • Hsu, T.M.1    Jts, W.2
  • 96
    • 0001328853 scopus 로고
    • Rotationally symmetric vibrations of orthotropic layered cylindrical shells
    • Hsu T and Wang JTS (1971), Rotationally symmetric vibrations of orthotropic layered cylindrical shells, J. Sound Vib. 16, 473-487.
    • (1971) J. Sound Vib. , vol.16 , pp. 473-487
    • Hsu, T.1    Wang, J.T.S.2
  • 97
    • 0000432565 scopus 로고
    • A new theory of elastic sandwich plates one dimensional case
    • Yi-Yuan Y (1959), A new theory of elastic sandwich plates one dimensional case, ASME J. Appl. Mech. 37, 1031-1036.
    • (1959) ASME J. Appl. Mech. , vol.37 , pp. 1031-1036
    • Yi-Yuan, Y.1
  • 98
    • 0015669924 scopus 로고
    • Transverse shear in laminated plates theories
    • Chou PC and Carleone J (1973), Transverse shear in laminated plates theories, AIAA J. 11, 1333-1336.
    • (1973) AIAA J. , vol.11 , pp. 1333-1336
    • Chou, P.C.1    Carleone, J.2
  • 99
    • 0002949155 scopus 로고
    • A refinement of the transverse shear deformation theory for multilayered plates
    • Disciuva M (1985), A refinement of the transverse shear deformation theory for multilayered plates, I'Aerotecnica Missili e Spazio 63, 84-92.
    • (1985) I'Aerotecnica Missili e Spazio , vol.63 , pp. 84-92
    • Disciuva, M.1
  • 100
    • 0002659180 scopus 로고
    • A class of multilayered anisotropic plate elements including the effects of transverse shear deformability
    • Torino
    • Disciuva M, Cicorello A, and Dalle Mura E (1985), A class of multilayered anisotropic plate elements including the effects of transverse shear deformability, AIDAA Conf, Torino, 877-892.
    • (1985) AIDAA Conf , pp. 877-892
    • Disciuva, M.1    Cicorello, A.2    Dalle Mura, E.3
  • 101
    • 0023412966 scopus 로고
    • An improved shear deformation theory for moderately thick multilayered anisotropic shells and plates
    • Disciuva M (1987), An improved shear deformation theory for moderately thick multilayered anisotropic shells and plates, ASME J. Appl. Mech. 54, 589-596.
    • (1987) ASME J. Appl. Mech. , vol.54 , pp. 589-596
    • Disciuva, M.1
  • 102
    • 0027626987 scopus 로고
    • Efficient higher order composite plate theory for general lamination configurations
    • Cho M and Parmerter RR (1993), Efficient higher order composite plate theory for general lamination configurations, AIAA J. 31, 1299-1305.
    • (1993) AIAA J. , vol.31 , pp. 1299-1305
    • Cho, M.1    Parmerter, R.R.2
  • 103
    • 0024937168 scopus 로고
    • Refinement of higher-order laminated plate theories
    • Bhashar B and Varadan TK (1989), Refinement of higher-order laminated plate theories, AIAA J. 27, 1830-1831.
    • (1989) AIAA J. , vol.27 , pp. 1830-1831
    • Bhashar, B.1    Varadan, T.K.2
  • 104
    • 0025496282 scopus 로고
    • Refinement of higher-order laminated plate theories
    • Savithri S and Varadan TK (1990), Refinement of higher-order laminated plate theories, AIAA J. 28, 1842-1843.
    • (1990) AIAA J. , vol.28 , pp. 1842-1843
    • Savithri, S.1    Varadan, T.K.2
  • 105
    • 0025238001 scopus 로고
    • An improved zig-zag model for the bending analysis of laminated composite plates
    • Lee KH, Senthilnathan NR, Lim SP, and Chow ST (1990), An improved zig-zag model for the bending analysis of laminated composite plates, Compos. Struct. 15, 137-148.
    • (1990) Compos. Struct. , vol.15 , pp. 137-148
    • Lee, K.H.1    Senthilnathan, N.R.2    Lim, S.P.3    Chow, S.T.4
  • 106
  • 107
    • 0021621010 scopus 로고
    • A simple higher order theory for laminated composite plates
    • Reddy JN (1984), A simple higher order theory for laminated composite plates, ASME J. Appl. Mech. 51, 745-752.
    • (1984) ASME J. Appl. Mech. , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 108
    • 0027167259 scopus 로고
    • A unified formulation of laminated composites, shear deformable, five-degrees-of-freedom cylindrical shell theories
    • Soldatos KP and Timarci T (1993), A unified formulation of laminated composites, shear deformable, five-degrees-of-freedom cylindrical shell theories, Compos. Struct. 25, 165-171.
    • (1993) Compos. Struct. , vol.25 , pp. 165-171
    • Kp, S.1    Timarci, T.2
  • 109
    • 0029640454 scopus 로고
    • Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis a unified shear deformable shell theories
    • Timarci T and Soldatos KP (1995), Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis a unified shear deformable shell theories, J. Sound Vib. 187, 609-624.
    • (1995) J. Sound Vib. , vol.187 , pp. 609-624
    • Timarci, T.1    Kp, S.2
  • 110
    • 0031250362 scopus 로고    scopus 로고
    • Stability analysis of rotating multilayer annular plate with a stationary frictional follower load
    • Lee D and Waas AM (1996), Stability analysis of rotating multilayer annular plate with a stationary frictional follower load. Int. J. Mech. Sci. 39, 1117-1138.
    • (1996) Int. J. Mech. Sci. , vol.39 , pp. 1117-1138
    • Lee, D.A.1    Waas, A.M.2
  • 111
    • 0031620311 scopus 로고    scopus 로고
    • Analysis of rotating multilayer annular plate modeled via a layer-wise zig-zag theory: Free vibration and transient analysis
    • Lee D, Waas AM, and Kamo BH (1997), Analysis of rotating multilayer annular plate modeled via a layer-wise zig-zag theory: free vibration and transient analysis, Compos. Struct. 66, 313-335.
    • (1997) Compos. Struct. , vol.66 , pp. 313-335
    • Lee, D.1    Waas, A.M.2    Kamo, B.H.3
  • 112
    • 0031070510 scopus 로고    scopus 로고
    • Comparison of various laminated plate theories
    • Iblidi A, Karama M, and Touratier M (1997), Comparison of various laminated plate theories, Compos. Struct. 37, 173-184.
    • (1997) Compos. Struct. , vol.37 , pp. 173-184
    • Iblidi, A.1    Karama, M.2    Touratier, M.3
  • 113
  • 114
    • 0033729776 scopus 로고    scopus 로고
    • First order zig-zag sub-laminate plate theory and finite element model for laminated composite and sandwich panels
    • Cho YB and Averill RC (2000), First order zig-zag sub-laminate plate theory and finite element model for laminated composite and sandwich panels, Compos. Struct. 50, 1-15.
    • (2000) Compos. Struct. , vol.50 , pp. 1-15
    • Cho, Y.B.1    Averill, R.C.2
  • 115
    • 0034188418 scopus 로고    scopus 로고
    • Higher order triangular sandwich plate finite elements for linear and nonlinear analyses
    • Polit O and Touratier M (2000), Higher order triangular sandwich plate finite elements for linear and nonlinear analyses, Comput. Methods Appl. Mech. Eng. 185, 305-324.
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.185 , pp. 305-324
    • Polit, O.1    Touratier, M.2
  • 116
    • 0022661210 scopus 로고
    • On a mixed variational theorem and on a shear deformable plate theory
    • Reissner E (1986), On a mixed variational theorem and on a shear deformable plate theory, Int. J. Numer. Methods Eng. 23, 193-198.
    • (1986) Int. J. Numer. Methods Eng. , vol.23 , pp. 193-198
    • Reissner, E.1
  • 117
    • 0002691994 scopus 로고
    • Laminated composite plate theory with improved in-plane responses
    • New Orleans, June 24-26, PVP
    • Murakami H (1985), Laminated composite plate theory with improved in-plane responses, ASME Proc of PVP Conf, New Orleans, June 24-26, PVP-Vol 98-2, 257-263.
    • (1985) ASME Proc of PVP Conf , vol.98 , Issue.2 , pp. 257-263
    • Murakami, H.1
  • 118
    • 0022785323 scopus 로고
    • Laminated composite plate theory with improved in-plane response
    • Murakami H (1986), Laminated composite plate theory with improved in-plane response, ASME J. Appl. Mech. 53, 661-666.
    • (1986) ASME J. Appl. Mech. , vol.53 , pp. 661-666
    • Murakami, H.1
  • 119
    • 0023164002 scopus 로고
    • A high-order laminated plate theory with improved in-plane responses
    • Toledano A and Murakami H (1987), A high-order laminated plate theory with improved in-plane responses, Int. J. Solids Struct. 23, 111-131.
    • (1987) Int. J. Solids Struct. , vol.23 , pp. 111-131
    • Toledano, A.1    Murakami, H.2
  • 120
    • 0030168293 scopus 로고    scopus 로고
    • 0 Reissner-Mindlin multilayered plate elements including zig-zag and interlaminar stresses continuity
    • 0 Reissner-Mindlin multilayered plate elements including zig-zag and interlaminar stresses continuity, Int. J. Numer. Methods Eng. 39, 1797-1820.
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 1797-1820
    • Carrera, E.1
  • 121
    • 0031095920 scopus 로고    scopus 로고
    • An improved Reissner-Mindlin-Type model for the electromechanical analysis of multilayered plates including piezolayers
    • Carrera E (1997), An improved Reissner-Mindlin-Type model for the electromechanical analysis of multilayered plates including piezolayers, J. Intell. Mater. Syst. Struct. 8, 232-248.
    • (1997) J. Intell. Mater. Syst. Struct. , vol.8 , pp. 232-248
    • Carrera, E.1
  • 122
    • 0040657378 scopus 로고    scopus 로고
    • Zig-Zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates
    • Carrera E and Kröplin B (1997), Zig-Zag and interlaminar equilibria effects in large deflection and post-buckling analysis of multilayered plates, Mech. of Compos. Mat. and Struct. 4, 69-94.
    • (1997) Mech. of Compos. Mat. and Struct. , vol.4 , pp. 69-94
    • Carrera, E.1    Kröplin, B.2
  • 123
    • 0000483402 scopus 로고    scopus 로고
    • Evaluation of layer-wise mixed theories for laminated plates analysis
    • Carrera E (1998), Evaluation of layer-wise mixed theories for laminated plates analysis, AIAA J. 36, 830-839.
    • (1998) AIAA J. , vol.36 , pp. 830-839
    • Carrera, E.1
  • 124
    • 0001302897 scopus 로고    scopus 로고
    • Layer-wise mixed models for accurate vibration analysis of multilayered plates
    • Carrera E (1998), Layer-wise mixed models for accurate vibration analysis of multilayered plates, ASME J. Appl. Mech. 65, 820-828.
    • (1998) ASME J. Appl. Mech. , vol.65 , pp. 820-828
    • Carrera, E.1
  • 125
    • 0033099155 scopus 로고    scopus 로고
    • A Reissner's mixed variational theorem applied to vibrational analysis of multilayered shell
    • Carrera E (1999), A Reissner's mixed variational theorem applied to vibrational analysis of multilayered shell, ASME J. Appl. Mech. 66(1), 69-78.
    • (1999) ASME J. Appl. Mech. , vol.66 , Issue.1 , pp. 69-78
    • Carrera, E.1
  • 126
    • 85038057168 scopus 로고    scopus 로고
    • Multilayered shell theories accounting for a layer-wise mixed description. Part I Governing equations. Part II Numerical evaluations
    • Carrera E (1999), Multilayered shell theories accounting for a layer-wise mixed description. Part I Governing equations. Part II Numerical evaluations, AIAA J. 37, 1117-1124.
    • (1999) AIAA J. , vol.37 , pp. 1117-1124
    • Carrera, E.1
  • 127
    • 0033293341 scopus 로고    scopus 로고
    • Transverse normal stress effects in multilayered plates
    • Carrera E (1999), Transverse normal stress effects in multilayered plates, ASME J. Appl. Mech. 66, 1004-1012.
    • (1999) ASME J. Appl. Mech. , vol.66 , pp. 1004-1012
    • Carrera, E.1
  • 128
    • 0000089147 scopus 로고    scopus 로고
    • A study of transverse normal stress effects on vibration of multilayered plates and shells
    • Carrera E (1999), A study of transverse normal stress effects on vibration of multilayered plates and shells, J. Sound Vib. 225, 803-829.
    • (1999) J. Sound Vib. , vol.225 , pp. 803-829
    • Carrera, E.1
  • 129
    • 0034140570 scopus 로고    scopus 로고
    • Single-layer vs multi-layers plate modelings on the basis of Reissner's mixed theorem
    • Carrera E (2000), Single-layer vs multi-layers plate modelings on the basis of Reissner's mixed theorem, AIAA J. 38, 342-343.
    • (2000) AIAA J. , vol.38 , pp. 342-343
    • Carrera, E.1
  • 130
    • 0033895799 scopus 로고    scopus 로고
    • A priori vs a posteriori evaluation of transverse stresses in multilayered orthotropic plates
    • Carrera E (2000), A priori vs a posteriori evaluation of transverse stresses in multilayered orthotropic plates, Compos. Struct. 48, 245-260.
    • (2000) Compos. Struct. , vol.48 , pp. 245-260
    • Carrera, E.1
  • 131
    • 0026818027 scopus 로고
    • Reissner's new mixed variational principle applied to laminated cylindrical shells
    • Bhaskar K and Varadan TK (1992), Reissner's new mixed variational principle applied to laminated cylindrical shells, ASME J. Pressure Vessel Technol. 114, 115-119.
    • (1992) ASME J. Pressure Vessel Technol. , vol.114 , pp. 115-119
    • Bhaskar, K.1    Varadan, T.K.2
  • 132
    • 0027578686 scopus 로고
    • Refined shear deformation theory of laminated shells
    • Jing H and Tzeng KG (1993), Refined shear deformation theory of laminated shells, AIAA J. 31, 765-773.
    • (1993) AIAA J. , vol.31 , pp. 765-773
    • Jing, H.1    Tzeng, K.G.2
  • 133
    • 0025139599 scopus 로고
    • Analysis of thick laminated anisotropic composites plates by the finite element method
    • Rao KM and Meyer-Piening HR (1990), Analysis of thick laminated anisotropic composites plates by the finite element method, Compos. Struct. 15, 185-213.
    • (1990) Compos. Struct. , vol.15 , pp. 185-213
    • Rao, K.M.1    Meyer-Piening, H.R.2
  • 134
    • 0037144335 scopus 로고    scopus 로고
    • Classical and advanced multilayered plate elements based upon PVD and RMVT, Part I. Derivation of finite element matrices
    • Carrera E and Demasi L (2002), Classical and advanced multilayered plate elements based upon PVD and RMVT, Part I. Derivation of finite element matrices, Int. J. Numer. Methods Eng. 55, 191-231, Part II. Numerical implementations, 253-291.
    • (2002) Int. J. Numer. Methods Eng. , vol.55 , pp. 191-231
    • Carrera, E.1    Demasi, L.2
  • 135
    • 0037200879 scopus 로고    scopus 로고
    • Classical and advanced multilayered plate elements based upon PVD and RMVT, Part II. Numerical implementations
    • Carrera E and Demasi L (2002), Classical and advanced multilayered plate elements based upon PVD and RMVT, Part I. Derivation of finite element matrices, Int. J. Numer. Methods Eng. 55, 191-231, Part II. Numerical implementations, 253-291.
    • Int. J. Numer. Methods Eng. , pp. 253-291
  • 136
    • 0025798359 scopus 로고
    • A higher-order theory for bending analysis of laminated shells of revolution
    • Bhaskar K and Varadan TK (1991), A higher-order theory for bending analysis of laminated shells of revolution, Compos. Struct. 40, 815-819.
    • (1991) Compos. Struct. , vol.40 , pp. 815-819
    • Bhaskar, K.1    Varadan, T.K.2
  • 137
    • 0033723020 scopus 로고    scopus 로고
    • Multilayered shell finite element with interlaminar continuous shear stresses: A refinement of the Reissner-Mindlin formulation
    • Brank B and Carrera E (2000), Multilayered shell finite element with interlaminar continuous shear stresses: A refinement of the Reissner-Mindlin formulation, Int. J. Numer. Methods Eng. 48, 843-874.
    • (2000) Int. J. Numer. Methods Eng. , vol.48 , pp. 843-874
    • Brank, B.1    Carrera, E.2
  • 138
    • 0023315391 scopus 로고
    • A composite plate theory for arbitrary laminated configurations
    • Toledano A and Murakami H (1987), A composite plate theory for arbitrary laminated configurations, ASME J. Appl. Mech. 54, 181-189.
    • (1987) ASME J. Appl. Mech. , vol.54 , pp. 181-189
    • Toledano, A.1    Murakami, H.2
  • 139
    • 22044432195 scopus 로고    scopus 로고
    • Comparative analysis of refined models for layered orthotropic plate
    • Gurtovoi AG and Piskunov VG (1998), Comparative analysis of refined models for layered orthotropic plate, Int., Appl. Mech. 34, 69-74.
    • (1998) Int., Appl. Mech. , vol.34 , pp. 69-74
    • Gurtovoi, A.G.1    Piskunov, V.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.