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Volumn 47, Issue 7, 2009, Pages 1772-1783

Asymptotic solution for nonlinear buckling of orthotropic shells on elastic foundation

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ITERATION METHOD; ASYMPTOTIC SOLUTIONS; BUCKLING BEHAVIORS; ELASTIC FOUNDATION; EXTERNAL PRESSURES; GEOMETRIC IMPERFECTION; MATERIAL PARAMETER; NONDIMENSIONAL; NONLINEAR BUCKLING; NONLINEAR DEFORMATIONS; ORTHOTROPIC SHELLS; PARAMETRIC STUDY; SHALLOW SPHERICAL SHELL; SHEAR MODULUS;

EID: 68249099471     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.43311     Document Type: Article
Times cited : (15)

References (31)
  • 1
    • 0345141669 scopus 로고
    • Stability Limits for a Clamped Spherical Shell Segment Under Uniform Pressure
    • Archer, R. R., "Stability Limits for a Clamped Spherical Shell Segment Under Uniform Pressure," Quarterly of Applied Mathematics, Vol. 15, No. 4, 1957, pp. 355-366.
    • (1957) Quarterly of Applied Mathematics , vol.15 , Issue.4 , pp. 355-366
    • Archer, R.R.1
  • 2
    • 85024509103 scopus 로고
    • A Numerical Solution of the Nonlinear Equations for Axisymmetric Bending of Shallow Spherical Shells
    • Thurston, G. A., "A Numerical Solution of the Nonlinear Equations for Axisymmetric Bending of Shallow Spherical Shells," Journal of Applied Mechanics, Vol. 28, No. 4, 1961, pp. 557-562.
    • (1961) Journal of Applied Mechanics , vol.28 , Issue.4 , pp. 557-562
    • Thurston, G.A.1
  • 3
    • 85024578374 scopus 로고
    • Unsymmetrical Buckling of Thin Shallow Spherical Shells
    • Huang, N., "Unsymmetrical Buckling of Thin Shallow Spherical Shells," Journal of Applied Mechanics, Vol. 31, No. 3, 1964, pp. 447-457.
    • (1964) Journal of Applied Mechanics , vol.31 , Issue.3 , pp. 447-457
    • Huang, N.1
  • 4
    • 0009934654 scopus 로고
    • Finite Asymmetric Deformation of Shallow Spherical Shells
    • Famili, J., and Archer, R. R., "Finite Asymmetric Deformation of Shallow Spherical Shells," AIAA Journal, Vol. 3, No. 3, 1964, pp. 506-510.
    • (1964) AIAA Journal , vol.3 , Issue.3 , pp. 506-510
    • Famili, J.1    Archer, R.R.2
  • 5
    • 85007712525 scopus 로고
    • Axisymmetric Static and Dynamic Buckling of Spherical Caps due to Centrally Distributed Pressure
    • doi:10.2514/3.5567
    • Stephens, W. B., and Fulton, R. E., "Axisymmetric Static and Dynamic Buckling of Spherical Caps due to Centrally Distributed Pressure," AIAA Journal, Vol. 7, No. 11, 1969, pp. 2120-2126. doi:10.2514/3.5567
    • (1969) AIAA Journal , vol.7 , Issue.11 , pp. 2120-2126
    • Stephens, W.B.1    Fulton, R.E.2
  • 6
    • 0017980911 scopus 로고
    • Snap-Buckling of Orthotropic Shallow Spherical Shells
    • Varadan, T. K., "Snap-Buckling of Orthotropic Shallow Spherical Shells," Journal of Applied Mechanics, Vol. 45, No. 2, 1978, pp. 445-447.
    • (1978) Journal of Applied Mechanics , vol.45 , Issue.2 , pp. 445-447
    • Varadan, T.K.1
  • 7
    • 0021466369 scopus 로고
    • Axisymmetric Static and Dynamic Buckling of Orthotropic Shallow Spherical Caps with Flexible Supports
    • doi:10.1007/BF01175967
    • Dumir, P. C., Gandhi, M. L., and Nath, Y., "Axisymmetric Static and Dynamic Buckling of Orthotropic Shallow Spherical Caps with Flexible Supports," Acta Mechanica, Vol. 52, Nos. 1-2, 1984, pp. 93-106. doi:10.1007/BF01175967
    • (1984) Acta Mechanica , vol.52 , Issue.1-2 , pp. 93-106
    • Dumir, P.C.1    Gandhi, M.L.2    Nath, Y.3
  • 8
    • 0021980334 scopus 로고
    • Buckling and Postbuckling Behavior of Half-Loaded Shallow Spherical Shells
    • doi:10.1016/0020-7462(85)90032-0
    • Yamada, S., and Yamada, M., "Buckling and Postbuckling Behavior of Half-Loaded Shallow Spherical Shells," International Journal of Non-Linear Mechanics, Vol. 20, No. 4, 1985, pp. 239-248. doi:10.1016/0020-7462(85)90032-0
    • (1985) International Journal of Non-Linear Mechanics , vol.20 , Issue.4 , pp. 239-248
    • Yamada, S.1    Yamada, M.2
  • 9
    • 0023593657 scopus 로고
    • Deflection and Snapping of Spherical Caps
    • doi:10.1016/0020-7683(87)90001-1
    • Brodland, G. W., and Cohen, H., "Deflection and Snapping of Spherical Caps," International Journal of Solids and Structures, Vol. 23, No. 10, 1987, pp. 1341-1356. doi:10.1016/0020-7683(87)90001-1
    • (1987) International Journal of Solids and Structures , vol.23 , Issue.10 , pp. 1341-1356
    • Brodland, G.W.1    Cohen, H.2
  • 10
    • 1842533000 scopus 로고    scopus 로고
    • The Non-Axisymmetric Postbuckling Behavior of Shallow Spherical Domes
    • doi:10.1016/S0021-8928(03) 90501-6
    • Grigolyuk, E. I., and Lopanitsyn, Y. A., "The Non-Axisymmetric Postbuckling Behavior of Shallow Spherical Domes," Journal of Applied Mechanics, Vol. 67, No. 6, 2003, pp. 809-818. doi:10.1016/S0021-8928(03) 90501-6
    • (2003) Journal of Applied Mechanics , vol.67 , Issue.6 , pp. 809-818
    • Grigolyuk, E.I.1    Lopanitsyn, Y.A.2
  • 11
    • 0942288524 scopus 로고    scopus 로고
    • Buckling of Shallow Spherical Shells Including the Effects of Transverse Shear Deformation
    • doi:10.1016/j.ijmecsci.2003.09.020
    • Li, Q. S., Liu, J., and Tang, J., "Buckling of Shallow Spherical Shells Including the Effects of Transverse Shear Deformation," International Journal of Mechanical Sciences, Vol. 45, No. 9, 2003, pp. 1519-1529. doi:10.1016/j.ijmecsci.2003.09.020
    • (2003) International Journal of Mechanical Sciences , vol.45 , Issue.9 , pp. 1519-1529
    • Li, Q.S.1    Liu, J.2    Tang, J.3
  • 12
    • 24744462734 scopus 로고    scopus 로고
    • Buckling of Shallow Spherical Caps Subjected to External Pressure
    • doi:10.1115/1.1993667
    • Btachut, J., "Buckling of Shallow Spherical Caps Subjected to External Pressure," Journal of Applied Mechanics, Vol. 72, No. 5, 2005, pp. 803-806. doi:10.1115/1.1993667
    • (2005) Journal of Applied Mechanics , vol.72 , Issue.5 , pp. 803-806
    • Btachut, J.1
  • 13
    • 84995384794 scopus 로고
    • Imperfection Sensitivity of Externally Pressurized Spherical Shells
    • Hutchinson, J. W., "Imperfection Sensitivity of Externally Pressurized Spherical Shells," Journal of Applied Mechanics, Vol. 34, No. 1, 1967, pp. 49-55.
    • (1967) Journal of Applied Mechanics , vol.34 , Issue.1 , pp. 49-55
    • Hutchinson, J.W.1
  • 14
    • 0014537428 scopus 로고
    • The Axisymmetric Buckling of Initial Imperfection Complete Spherical Shells
    • doi:10.1016/0020-7683(69) 90088-2
    • Koga, T., and Hoff, N. J., "The Axisymmetric Buckling of Initial Imperfection Complete Spherical Shells," International Journal of Solids and Structures, Vol. 5, No. 7, 1969, pp. 679-697. doi:10.1016/0020-7683(69) 90088-2
    • (1969) International Journal of Solids and Structures , vol.5 , Issue.7 , pp. 679-697
    • Koga, T.1    Hoff, N.J.2
  • 15
    • 0015397499 scopus 로고
    • A Note on Buckling of Spherical Caps with Initial Asymmetric Imperfections
    • Kao, R., "A Note on Buckling of Spherical Caps with Initial Asymmetric Imperfections," Journal of Applied Mechanics, Vol. 39, No. 3, 1972, pp. 842-844.
    • (1972) Journal of Applied Mechanics , vol.39 , Issue.3 , pp. 842-844
    • Kao, R.1
  • 16
    • 0036604686 scopus 로고    scopus 로고
    • Imperfection Sensitivity of an Orthotropic Spherical Shell Under External Pressure
    • doi:10.1016/S0020-7462(01)00091-9
    • Ory, H., Reimerdes, H. G., Schmid, T., Rittweger, A., and Gomez Garcia, J., "Imperfection Sensitivity of an Orthotropic Spherical Shell Under External Pressure," International Journal of Non-Linear Mechanics, Vol. 37, Nos. 4-5, 2002, pp. 669-686. doi:10.1016/S0020-7462(01)00091-9
    • (2002) International Journal of Non-Linear Mechanics , vol.37 , Issue.4-5 , pp. 669-686
    • Ory, H.1    Reimerdes, H.G.2    Schmid, T.3    Rittweger, A.4    Gomez Garcia, J.5
  • 17
    • 0036604688 scopus 로고    scopus 로고
    • Buckling Behaviour of Imperfect Spherical Shells
    • doi:10.1016/S0020-7462(01)00086-5
    • Wunderlich, W., and Albertin, U., "Buckling Behaviour of Imperfect Spherical Shells," International Journal of Non-Linear Mechanics, Vol. 37, Nos. 4-5, 2002, pp. 589-604. doi:10.1016/S0020-7462(01)00086-5
    • (2002) International Journal of Non-Linear Mechanics , vol.37 , Issue.4-5 , pp. 589-604
    • Wunderlich, W.1    Albertin, U.2
  • 18
    • 0020596313 scopus 로고
    • Non-Linear Dynamic Analysis of Shallow Spherical Shells on Elastic Foundations
    • doi:10.1016/0020- 7403(83)90055-3
    • Nath, Y., and Jain, R. K., "Non-Linear Dynamic Analysis of Shallow Spherical Shells on Elastic Foundations," International Journal of Mechanical Sciences, Vol. 25, No. 6, 1983, pp. 409-419. doi:10.1016/0020- 7403(83)90055-3
    • (1983) International Journal of Mechanical Sciences , vol.25 , Issue.6 , pp. 409-419
    • Nath, Y.1    Jain, R.K.2
  • 19
    • 0022217331 scopus 로고
    • Nonlinear Axisymmetric Response of Orthotropic Thin Spherical Caps on Elastic Foundations
    • doi:10.1016/0020-7403(85)90007-4
    • Dumir, P. C., "Nonlinear Axisymmetric Response of Orthotropic Thin Spherical Caps on Elastic Foundations," International Journal of Mechanical Sciences, Vol. 27, No. 11-12, 1985, pp. 751-760. doi:10.1016/0020-7403(85)90007-4
    • (1985) International Journal of Mechanical Sciences , vol.27 , Issue.11-12 , pp. 751-760
    • Dumir, P.C.1
  • 20
    • 0022562968 scopus 로고
    • Effect of Foundation Nonlinearity on Nonlinear Transient Response of Orthotropic Shallow Spherical Shells
    • doi:10.1007/ BF00542480
    • Jain, R. K., and Nath, Y., "Effect of Foundation Nonlinearity on Nonlinear Transient Response of Orthotropic Shallow Spherical Shells," Ingenieur-Archiv, Vol. 56, No. 4, 1986, pp. 295-300. doi:10.1007/ BF00542480
    • (1986) Ingenieur-Archiv , vol.56 , Issue.4 , pp. 295-300
    • Jain, R.K.1    Nath, Y.2
  • 21
    • 0022661472 scopus 로고
    • Shallow Spherical Shells on Pasternak Foundation
    • doi:10.1061/(ASCE)0733- 9399(1986)112
    • Paliwal, D. N., Sinha, S. N., and Choudhary, B. K., Jr., "Shallow Spherical Shells on Pasternak Foundation," Journal of Engineering Mechanics, Vol. 112, No. 2, 1986, pp. 175-182. doi:10.1061/(ASCE)0733- 9399(1986)112:2(175)
    • (1986) Journal of Engineering Mechanics , vol.112 , Issue.2-175 , pp. 175-182
    • Paliwal, D.N.1    Sinha, S.N.2    Choudhary Jr., B.K.3
  • 22
    • 0022915194 scopus 로고
    • Static and Dynamic Behavior of Shallow Spherical Shells on Winkler Foundation
    • doi:10.1016/0263-8231(86) 90038-8
    • Paliwal, D. N., and Sinha, S. N., "Static and Dynamic Behavior of Shallow Spherical Shells on Winkler Foundation," Thin-Walled Structures, Vol. 4, No. 6, 1986, pp. 411-422. doi:10.1016/0263-8231(86) 90038-8
    • (1986) Thin-Walled Structures , vol.4 , Issue.6 , pp. 411-422
    • Paliwal, D.N.1    Sinha, S.N.2
  • 23
    • 0026435362 scopus 로고
    • Large Deflection Analysis of a Shallow Spherical Shell on Pasternak Foundation
    • doi:10.1016/0308-0161(92)90015-8
    • Paliwal, D. N., and Bhalla, V., "Large Deflection Analysis of a Shallow Spherical Shell on Pasternak Foundation," International Journal of Pressure Vessels and Piping, Vol. 52, No. 2, 1992, pp. 189-199. doi:10.1016/0308-0161(92)90015-8
    • (1992) International Journal of Pressure Vessels and Piping , vol.52 , Issue.2 , pp. 189-199
    • Paliwal, D.N.1    Bhalla, V.2
  • 24
    • 0027206108 scopus 로고
    • Nonlinear Static Behaviour of Shallow Spherical Shell on a Kerr Foundation
    • doi:10.1016/0308-0161(93)90065-2
    • Paliwal, D. N., and Srivastava, R., "Nonlinear Static Behaviour of Shallow Spherical Shell on a Kerr Foundation," International Journal of Pressure Vessels and Piping, Vol. 55, No. 3, 1993, pp. 481-494. doi:10.1016/0308-0161(93)90065-2
    • (1993) International Journal of Pressure Vessels and Piping , vol.55 , Issue.3 , pp. 481-494
    • Paliwal, D.N.1    Srivastava, R.2
  • 25
    • 0029229757 scopus 로고
    • Large Deflection of an Orthotropic Shallow Spherical Shell on a Pasternak Foundation
    • doi:10.1016/0308-0161(95)93968-B
    • Kanagasabapathy, H., Paliwal, D. N., and Gupta, K. M., "Large Deflection of an Orthotropic Shallow Spherical Shell on a Pasternak Foundation," International Journal of Pressure Vessels and Piping, Vol. 62, No. 2, 1995, pp. 117-122. doi:10.1016/0308-0161(95)93968-B
    • (1995) International Journal of Pressure Vessels and Piping , vol.62 , Issue.2 , pp. 117-122
    • Kanagasabapathy, H.1    Paliwal, D.N.2    Gupta, K.M.3
  • 26
    • 0031077096 scopus 로고    scopus 로고
    • Orthotropic Shallow Spherical Shell on a Kerr Foundation
    • doi:10.1115/1.2842258
    • Paliwal, D. N., Kanagasabapathy, H., and Gupta, K. M., "Orthotropic Shallow Spherical Shell on a Kerr Foundation," Journal of Pressure Vessel Technology, Vol. 119, No. 1, 1997, pp. 131-133. doi:10.1115/1.2842258
    • (1997) Journal of Pressure Vessel Technology , vol.119 , Issue.1 , pp. 131-133
    • Paliwal, D.N.1    Kanagasabapathy, H.2    Gupta, K.M.3
  • 27
    • 0035255895 scopus 로고    scopus 로고
    • Asymptotic Buckling Analysis of Imperfect Shallow Spherical Shells on Non-Linear Elastic Foundation
    • doi:10.1016/S0020-7403(99)00118-6
    • Nie, G. H., "Asymptotic Buckling Analysis of Imperfect Shallow Spherical Shells on Non-Linear Elastic Foundation," International Journal of Mechanical Sciences, Vol. 43, No. 2, 2001, pp. 543-555. doi:10.1016/S0020-7403(99)00118-6
    • (2001) International Journal of Mechanical Sciences , vol.43 , Issue.2 , pp. 543-555
    • Nie, G.H.1
  • 28
    • 0037860861 scopus 로고    scopus 로고
    • Analysis of Non-Linear Behaviors of Imperfect Shallow Spherical Shells on Pasternak Foundation by the Asymptotic Iteration Method
    • doi:10.1016/S0308-0161(03)00043-7
    • Nie, G. H., "Analysis of Non-Linear Behaviors of Imperfect Shallow Spherical Shells on Pasternak Foundation by the Asymptotic Iteration Method," International Journal of Pressure Vessels and Piping, Vol. 80, No. 4, 2003, pp. 229-235. doi:10.1016/S0308-0161(03)00043-7
    • (2003) International Journal of Pressure Vessels and Piping , vol.80 , Issue.4 , pp. 229-235
    • Nie, G.H.1
  • 29
    • 0029516354 scopus 로고
    • A Non-Linear Model for Stability Analysis of Reticulated Shallow Shells with Imperfections
    • Nie, G. H., and Cheung, Y. K., "A Non-Linear Model for Stability Analysis of Reticulated Shallow Shells with Imperfections," International Journal of Space Structures, Vol. 10, No. 4, 1995, pp. 215-230.
    • (1995) International Journal of Space Structures , vol.10 , Issue.4 , pp. 215-230
    • Nie, G.H.1    Cheung, Y.K.2
  • 30
    • 0034500844 scopus 로고    scopus 로고
    • Non-Linear Free Vibration of Single-Layer Reticulated Shallow Spherical Shells
    • Nie, G. H., "Non-Linear Free Vibration of Single-Layer Reticulated Shallow Spherical Shells," International Journal of Space Structures, Vol. 15, No. 1, 2000, pp. 53-58.
    • (2000) International Journal of Space Structures , vol.15 , Issue.1 , pp. 53-58
    • Nie, G.H.1
  • 31
    • 0037243781 scopus 로고    scopus 로고
    • On the Buckling of Imperfect Squarely-Reticulated Shallow Spherical Shells Supported by Elastic Media
    • doi:10.1016/S0263-8231(02)00069- 1
    • Nie, G. H., "On the Buckling of Imperfect Squarely-Reticulated Shallow Spherical Shells Supported by Elastic Media," Thin-Walled Structures, Vol. 41, No. 1, 2003, pp. 1-13. doi:10.1016/S0263-8231(02)00069- 1
    • (2003) Thin-Walled Structures , vol.41 , Issue.1 , pp. 1-13
    • Nie, G.H.1


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