메뉴 건너뛰기




Volumn 51, Issue 4, 2000, Pages 629-649

On the determination of transverse shear stiffnesses of orthotropic plates

Author keywords

Effective stiffnesses; Laminate; Sandwich; Transverse shear stiffness

Indexed keywords


EID: 0034336429     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050021     Document Type: Article
Times cited : (42)

References (55)
  • 1
    • 84930244279 scopus 로고
    • Über das Gleichgewicht und die Bewegung einer elastischen Scheibe
    • G. Kirchoff, Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. J. Reine Angew. Math. 40 (1850), 51-88.
    • (1850) J. Reine Angew. Math. , vol.40 , pp. 51-88
    • Kirchoff, G.1
  • 3
    • 0000849966 scopus 로고
    • On the correnction for shear of the differential equation for transverse vibrations of prismatic bars
    • S. P. Timoshenko, On the correnction for shear of the differential equation for transverse vibrations of prismatic bars. Phil. Mag. 41 Ser. 6(245) (1921), 744-746.
    • (1921) Phil. Mag. , vol.41 , Issue.6-245 , pp. 744-746
    • Timoshenko, S.P.1
  • 4
    • 0000838996 scopus 로고
    • The theory of plates and shells
    • S. Flügge, ed., Springer, Heidelberg
    • P. M. Naghdi, The theory of plates and shells. In: S. Flügge, ed., Handbuch der Physik volume VIa/2, pp. 425-640. Springer, Heidelberg 1972.
    • (1972) Handbuch Der Physik , vol.6 A , Issue.2 , pp. 425-640
    • Naghdi, P.M.1
  • 5
    • 4243758338 scopus 로고
    • Vergleich verschiedener Approximationen der Theorie dünner Schalen (mit numerischen Beispielen)
    • Ruhr Universität Bochum
    • W. Wunderlich, Vergleich verschiedener Approximationen der Theorie dünner Schalen (mit numerischen Beispielen). In: Techn.-Wiss. Mitt. des Institut für Konstruktiven Ingenieurbau, number 73-1. Ruhr Universität Bochum 1973.
    • (1973) Techn.-Wiss. Mitt. des Institut für Konstruktiven Ingenieurbau , vol.73 , Issue.1
    • Wunderlich, W.1
  • 7
    • 0022162744 scopus 로고
    • Reflections on the theory of elastic plates
    • E. Reissner, Reflections on the theory of elastic plates, Appl. Mech. Rev., 38(11) (1985), 1453-1464.
    • (1985) Appl. Mech. Rev. , vol.38 , Issue.11 , pp. 1453-1464
    • Reissner, E.1
  • 8
    • 85010134310 scopus 로고
    • Assessment of shear deformation theories for multilayered composite plates
    • A. K. Noor and W. S. Burton, Assessment of shear deformation theories for multilayered composite plates. Appl. Mech. Rev. 42(1), (1989), 1-13.
    • (1989) Appl. Mech. Rev. , vol.42 , Issue.1 , pp. 1-13
    • Noor, A.K.1    Burton, W.S.2
  • 9
    • 85162732170 scopus 로고
    • On the theory of bending of elastic plates
    • E. Reissner, On the theory of bending of elastic plates. J. Math. Phys. 23 (1944), 184-191.
    • (1944) J. Math. Phys. , vol.23 , pp. 184-191
    • Reissner, E.1
  • 10
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • E. Reissner, The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 12(11) (1945), A-69-A77.
    • (1945) J. Appl. Mech. , vol.12 , Issue.11
    • Reissner, E.1
  • 11
    • 0002484779 scopus 로고
    • On the bending of elastic plates
    • E. Reissner, On the bending of elastic plates. Quart. Appl. Math. 5 (1947), 55-68.
    • (1947) Quart. Appl. Math. , vol.5 , pp. 55-68
    • Reissner, E.1
  • 12
    • 0000379852 scopus 로고
    • Contribution au problème linéaire de flexion d'une plaque élastique
    • L. Bollé, Contribution au problème linéaire de flexion d'une plaque élastique. Bull. Techn. Suisse Romande 73(21) (1947), 281-285.
    • (1947) Bull. Techn. Suisse Romande , vol.73 , Issue.21 , pp. 281-285
    • Bollé, L.1
  • 13
    • 0000379852 scopus 로고
    • Contribution au problème linéaire de flexion d'une plaque élastique
    • L. Bollé, Contribution au problème linéaire de flexion d'une plaque élastique. Bull. Techn. Suisse Romande 73(22) (1947), 293-298.
    • (1947) Bull. Techn. Suisse Romande , vol.73 , Issue.22 , pp. 293-298
    • Bollé, L.1
  • 14
    • 0004969757 scopus 로고
    • Über die Berücksichtigung der Schubverzerrung in ebenen Platten
    • H. Hencky, Über die Berücksichtigung der Schubverzerrung in ebenen Platten. Ingenieur-Archiv 16 (1947), 72-76.
    • (1947) Ingenieur-Archiv , vol.16 , pp. 72-76
    • Hencky, H.1
  • 15
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates
    • R. D. Mindlin. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Trans. ASME J. Appl Mech., 18(2) (1951), 31-38.
    • (1951) Trans. ASME J. Appl Mech. , vol.18 , Issue.2 , pp. 31-38
    • Mindlin, R.D.1
  • 16
    • 0000432378 scopus 로고
    • Verallgemeinerte theorie der plattenstatik
    • A. Kromm, Verallgemeinerte Theorie der Plattenstatik. Ingenieur-Archiv 21 (1953), 266-286.
    • (1953) Ingenieur-Archiv , vol.21 , pp. 266-286
    • Kromm, A.1
  • 17
    • 0009973833 scopus 로고
    • On the equations in the plate bending theory (in russ.)
    • B. F. Vlasov, On the equations in the plate bending theory (in russ.). Izv. AN SSSR. Otd. tekhn. nauk 12 (1957), 57-60.
    • (1957) Izv. AN SSSR. Otd. Tekhn. Nauk , vol.12 , pp. 57-60
    • Vlasov, B.F.1
  • 18
    • 0001932979 scopus 로고
    • On the theory of bending of anisitropic plates and shallow shells (in russ.)
    • S. A. Ambarcumyan, On the theory of bending of anisitropic plates and shallow shells (in russ.), Izv. AN SSSR. Otd. tekhn. nauk 5 (1958), 69-77.
    • (1958) Izv. AN SSSR. Otd. Tekhn. Nauk , vol.5 , pp. 69-77
    • Ambarcumyan, S.A.1
  • 19
    • 0001794485 scopus 로고
    • On the theory of moderatly thick plates in bending (in russ.)
    • Kh. M. Mushtari, On the theory of moderatly thick plates in bending (in russ.), Izv. AN SSSR. Otd. tekhn. nauk 2 (1959), 107-113.
    • (1959) Izv. AN SSSR. Otd. Tekhn. Nauk , vol.2 , pp. 107-113
    • Mushtari, Kh.M.1
  • 20
    • 0000020937 scopus 로고
    • Verschärfte theorie der elastischen platten
    • V. Panc, Verschärfte Theorie der elastischen Platten, Ingernieur-Archiv 36(6) (1964), 351-371.
    • (1964) Ingernieur-Archiv , vol.36 , Issue.6 , pp. 351-371
    • Panc, V.1
  • 21
    • 0000215285 scopus 로고
    • An accurate, simple theory of the statics and dynamics of elastic plates
    • M. Levinson, An accurate, simple theory of the statics and dynamics of elastic plates. Mech. Res. Comm. 7(6) (1980), 343-350.
    • (1980) Mech. Res. Comm. , vol.7 , Issue.6 , pp. 343-350
    • Levinson, M.1
  • 22
    • 0023168713 scopus 로고
    • On refined plate models based on kinematical assumptions
    • T. Lewiński, On refined plate models based on kinematical assumptions. Ingenieur-Archiv 57 (1987), 133-146.
    • (1987) Ingenieur-Archiv , vol.57 , pp. 133-146
    • Lewiński, T.1
  • 23
    • 0000513763 scopus 로고
    • On kinematical assumptions of refined theories of plates: A survey
    • G. Jemielita, On kinematical assumptions of refined theories of plates: A survey. Trans. ASME J. Appl. Mech. 57(4) (1990), 1088-1091.
    • (1990) Trans. ASME J. Appl. Mech. , vol.57 , Issue.4 , pp. 1088-1091
    • Jemielita, G.1
  • 24
    • 0001838630 scopus 로고
    • Transverse shear stiffness of composite and sandwich finite elements
    • Nordwijk, ESA SP-289
    • K. Rohwer, Transverse shear stiffness of composite and sandwich finite elements. In: Proc. Int. Conf.: Spacekraft Structures and Mechanical Testing pp. 363-368. Nordwijk, 1989. ESA SP-289.
    • (1989) Proc. Int. Conf.: Spacekraft Structures and Mechanical Testing , pp. 363-368
    • Rohwer, K.1
  • 25
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • J. N. Reddy, A simple higher-order theory for laminated composite plates. Trans. ASME. J. Appl. Mech. 51 (1984), 745-752.
    • (1984) Trans. ASME. J. Appl. Mech. , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 26
    • 0027227116 scopus 로고
    • An improved plate theory of {1, 2}-order for thick composite laminates
    • A. Tessler, An improved plate theory of {1, 2}-order for thick composite laminates. Int. J. Solids Struct. 30(7) (1993), 981-1000.
    • (1993) Int. J. Solids Struct. , vol.30 , Issue.7 , pp. 981-1000
    • Tessler, A.1
  • 27
    • 84986998948 scopus 로고
    • A high-order theory of plate deformation. Part I: Homogeneous plates
    • K. H. Lo, R. M. Christensen and E. M. Wu, A high-order theory of plate deformation. Part I: Homogeneous plates. Trans. ASME J. Appl. Mech. 44(4) (1977), 663-668.
    • (1977) Trans. ASME J. Appl. Mech. , vol.44 , Issue.4 , pp. 663-668
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 29
    • 0019680430 scopus 로고
    • Theories for elastic plates via orthogonal polynomials
    • S. Krenk, Theories for elastic plates via orthogonal polynomials. Trans ASME J. Appl. Mech., 48(4) (1981), 900-904.
    • (1981) Trans ASME J. Appl. Mech. , vol.48 , Issue.4 , pp. 900-904
    • Krenk, S.1
  • 30
    • 0025725639 scopus 로고
    • An efficient standard plate theory
    • M. Touratier, An efficient standard plate theory. Int. Engng. Sci., 29(8) (1991), 901-916.
    • (1991) Int. Engng. Sci. , vol.29 , Issue.8 , pp. 901-916
    • Touratier, M.1
  • 32
    • 0020401909 scopus 로고
    • Erweiterung der klassichen Schalentheorie; der Einfluß von Dickenverzerrung und Querschnittverwölbungen
    • R. Kienzler, Erweiterung der klassichen Schalentheorie; der Einfluß von Dickenverzerrung und Querschnittverwölbungen. Ingenieur-Archiv 52 (1982), 311-322.
    • (1982) Ingenieur-Archiv , vol.52 , pp. 311-322
    • Kienzler, R.1
  • 33
    • 4244207342 scopus 로고
    • Eine systematische Herleitung verbesserter Plattentheorien
    • G. Preußer, Eine systematische Herleitung verbesserter Plattentheorien, Ingenieur-Archiv 54 (1981), 51-61.
    • (1981) Ingenieur-Archiv , vol.54 , pp. 51-61
    • Preußer, G.1
  • 34
    • 0001868585 scopus 로고    scopus 로고
    • On the structure of plate theories from the principle of virtual displacements by introducing product series
    • (submitted)
    • J. Meenen and H. Altenbach, On the structure of plate theories from the principle of virtual displacements by introducing product series, Int. J. Solids Struct. (submitted).
    • Int. J. Solids Struct.
    • Meenen, J.1    Altenbach, H.2
  • 35
    • 0000992219 scopus 로고
    • Formulation of approximative theory of shells with the help of the asymptotic integration of the equations of the theory of elasticity (in russ.)
    • A. L. Goldenweiser, Formulation of approximative theory of shells with the help of the asymptotic integration of the equations of the theory of elasticity (in russ.). Prikl. Mat. i Mekh. 26(4) (1962), 668-686.
    • (1962) Prikl. Mat. I Mekh. , vol.26 , Issue.4 , pp. 668-686
    • Goldenweiser, A.L.1
  • 36
    • 0016896005 scopus 로고
    • Mechanics of deformable directed surfaces
    • P. A. Zhilin, Mechanics of deformable directed surfaces, Int J. Solids Struct. 12 (1976), 635-648.
    • (1976) Int. J. Solids Struct. , vol.12 , pp. 635-648
    • Zhilin, P.A.1
  • 37
    • 0002228725 scopus 로고
    • Present state of the theory of multilayered shells (in russ.)
    • E. I. Grigolyuk and A. F. Kogan, Present state of the theory of multilayered shells (in russ.). Prikl. Mekh. 8(6) (1972), 3-17.
    • (1972) Prikl. Mekh. , vol.8 , Issue.6 , pp. 3-17
    • Grigolyuk, E.I.1    Kogan, A.F.2
  • 38
    • 0027242924 scopus 로고
    • An evaluation of equivalent-single-layer and layerwise theories of composite laminates
    • J. N. Reddy, An evaluation of equivalent-single-layer and layerwise theories of composite laminates, Composite Structures 25 (1993), 21-35.
    • (1993) Composite Structures , vol.25 , pp. 21-35
    • Reddy, J.N.1
  • 39
    • 0031079495 scopus 로고    scopus 로고
    • Restatement of first-order shear-deformation theory for laminated plates
    • N. F. Knight, Jr. and Y. Qi, Restatement of first-order shear-deformation theory for laminated plates, Int. Solids Structures 34(4) (1997), 481-492.
    • (1997) Int. Solids Structures , vol.34 , Issue.4 , pp. 481-492
    • Knight N.F., Jr.1    Qi, Y.2
  • 41
    • 0015097786 scopus 로고
    • On the propagation of flexural waves in an orthotropic laminated plate and its response to an impulsive load
    • T. S. Chow, On the propagation of flexural waves in an orthotropic laminated plate and its response to an impulsive load. J. Composite Materials 5 (1971), 306-319.
    • (1971) J. Composite Materials , vol.5 , pp. 306-319
    • Chow, T.S.1
  • 42
    • 0001838634 scopus 로고
    • A general non-linear third order theory of plates with transverse deformations
    • J. N. Reddy, A general non-linear third order theory of plates with transverse deformations. J. of Non-linear Mechanics 25(6) (1990), 667-686.
    • (1990) J. of Non-linear Mechanics , vol.25 , Issue.6 , pp. 667-686
    • Reddy, J.N.1
  • 43
    • 0031371887 scopus 로고    scopus 로고
    • A method for improving the stress analysis performance of one-and two-dimensional theories for laminated composites
    • K. P. Soldatos and P. Watson, A method for improving the stress analysis performance of one-and two-dimensional theories for laminated composites. Acta Mech. 123 (1997), 163-186.
    • (1997) Acta Mech. , vol.123 , pp. 163-186
    • Soldatos, K.P.1    Watson, P.2
  • 45
    • 0033899566 scopus 로고    scopus 로고
    • An alternative determination of transverse shear stiffnesses for sandwich and laminated plates
    • (in print)
    • H. Altenbach, An alternative determination of transverse shear stiffnesses for sandwich and laminated plates, Int. J. Solids Struct. (in print).
    • Int. J. Solids Struct.
    • Altenbach, H.1
  • 46
    • 0008882820 scopus 로고
    • Obshchaya teoriya uprugikh prostykh obolochek (in russ.)
    • (in russ.)
    • H. Altenbach and P. A. Zhilin, Obshchaya teoriya uprugikh prostykh obolochek (in russ.), USpekhi Mekhaniki 11 (1988), 107-148.
    • (1988) Uspekhi Mekhaniki , vol.11 , pp. 107-148
    • Altenbach, H.1    Zhilin, P.A.2
  • 47
    • 0023482810 scopus 로고
    • Definition of elastic moduli for plates made from thickness-uneven anisotropic material
    • H. Altenbach, Definition of elastic moduli for plates made from thickness-uneven anisotropic material. Mech. Solids 22(1) (1987), 135-141.
    • (1987) Mech. Solids , vol.22 , Issue.1 , pp. 135-141
    • Altenbach, H.1
  • 50
    • 0001233297 scopus 로고
    • The propagation of waves in the transverse vibrations of bars and plates (in russ.)
    • Y. S. Uflyand, The propagation of waves in the transverse vibrations of bars and plates (in russ.), Prikl. Matem, i Mekh. 12 (1948), 287-300.
    • (1948) Prikl. Matem, I Mekh. , vol.12 , pp. 287-300
    • Uflyand, Y.S.1
  • 51
    • 0345285907 scopus 로고
    • Theory of mechanical properties of fibre-strengthened materials: 1. Elastic behaviour
    • R. Hill, Theory of mechanical properties of fibre-strengthened materials: 1. elastic behaviour. J. Mech. Phys. Solids 12(4) (1964), 199-218.
    • (1964) J. Mech. Phys. Solids , vol.12 , Issue.4 , pp. 199-218
    • Hill, R.1
  • 53
    • 0024775632 scopus 로고
    • Stress and free vibration analyses of multilayered composite plates
    • A. K. Noor and W. S. Burton, Stress and free vibration analyses of multilayered composite plates, Composite Structures 11 (1989), 183-204.
    • (1989) Composite Structures , vol.11 , pp. 183-204
    • Noor, A.K.1    Burton, W.S.2
  • 54
    • 0018468901 scopus 로고
    • Shear correction factors for laminated plates
    • S. N. Chatterjee and S. V. Kulkarni, Shear correction factors for laminated plates. AIAA Journal 17 (1979), 498-499.
    • (1979) AIAA Journal , vol.17 , pp. 498-499
    • Chatterjee, S.N.1    Kulkarni, S.V.2
  • 55
    • 0001729575 scopus 로고
    • Modelling of viscoelastic behaviour of plates
    • M. Zyczkowski, ed., Springer, Berlin
    • H. Altenbach, Modelling of viscoelastic behaviour of plates. In: M. Zyczkowski, ed., Creep in Structures, pp. 531-537, Springer, Berlin 1991.
    • (1991) Creep in Structures , pp. 531-537
    • Altenbach, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.