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      KCI등재 SCIE SCOPUS

      Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory

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      https://www.riss.kr/link?id=A104816878

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      다국어 초록 (Multilingual Abstract)

      This paper presents the effect of hybridization material on variation of critical buckling load with different cross-ply laminates plate resting on elastic foundations of Winkler and Pasternak types subjected to combine uniaxial and biaxial loading by...

      This paper presents the effect of hybridization material on variation of critical buckling load with different cross-ply laminates plate resting on elastic foundations of Winkler and Pasternak types subjected to combine uniaxial and biaxial loading by using two variable refined plate theories. Governing equations are derived from the principle of virtual displacement; the formulation is based on a new trigonometric shape function of displacement taking into account transverse shear deformation effects vary parabolically across the thickness satisfying shear stress free surface conditions. These equations are solved analytically using the Navier solution of a simply supported. The influence of the various parameters geometric and material, the thickness ratio, and the number of layers symmetric and antisymmetric hybrid laminates material has been investigated to find the critical buckling loads. The numerical results obtained through the present study with several examples are presented to verify and compared with other models with the ones available in the literature.

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      참고문헌 (Reference)

      1 Malekzadeh, P., "Vibration of non-uniform thick plates on elastic foundation by differential quadrature method" 26 : 1473-1482, 2004

      2 Setoodeh, A.R., "Static, free vibration and buckling analysis of anisotropic thick laminated plates on distributed and point elastic supports using a 3-D layer wise FEM" 26 : 211-220, 2004

      3 Noor, A. K., "Stability of multilayered composite plates" 8 (8): 81-89, 1975

      4 Sadowski, T., "Modelling and experimental study of parallel cracks propagation in an orthotropic elastic material" 52 (52): 231-235, 2012

      5 Omurtag, M.H., "Free vibration analysis of orthotropic plates resting on Pasternak foundation by mixed finite element formulation" 67 : 253-265, 1998

      6 Pairod Singhatanadgid, "Experimental determination of the buckling load of rectangular plates using vibration correlation technique" 국제구조공학회 37 (37): 331-349, 2011

      7 Reddy, J. N., "Energy and Variational Methods in Applied Mechanics" John Willy and Sons 1981

      8 Harik, I., "Elastic stability of orthotropic plates" 6 (6): 405-416, 1988

      9 Saha, K. N., "Dynamic stability of a rectangular plate on nonhomogeneous Winkler foundation" 63 (63): 1213-1222, 1997

      10 Shen, H. S., "Dynamic response of shear deformable laminates plates under thermomechanical loading and resting on elastic foundation" 60 : 57-66, 2003

      1 Malekzadeh, P., "Vibration of non-uniform thick plates on elastic foundation by differential quadrature method" 26 : 1473-1482, 2004

      2 Setoodeh, A.R., "Static, free vibration and buckling analysis of anisotropic thick laminated plates on distributed and point elastic supports using a 3-D layer wise FEM" 26 : 211-220, 2004

      3 Noor, A. K., "Stability of multilayered composite plates" 8 (8): 81-89, 1975

      4 Sadowski, T., "Modelling and experimental study of parallel cracks propagation in an orthotropic elastic material" 52 (52): 231-235, 2012

      5 Omurtag, M.H., "Free vibration analysis of orthotropic plates resting on Pasternak foundation by mixed finite element formulation" 67 : 253-265, 1998

      6 Pairod Singhatanadgid, "Experimental determination of the buckling load of rectangular plates using vibration correlation technique" 국제구조공학회 37 (37): 331-349, 2011

      7 Reddy, J. N., "Energy and Variational Methods in Applied Mechanics" John Willy and Sons 1981

      8 Harik, I., "Elastic stability of orthotropic plates" 6 (6): 405-416, 1988

      9 Saha, K. N., "Dynamic stability of a rectangular plate on nonhomogeneous Winkler foundation" 63 (63): 1213-1222, 1997

      10 Shen, H. S., "Dynamic response of shear deformable laminates plates under thermomechanical loading and resting on elastic foundation" 60 : 57-66, 2003

      11 Lee, H. P., "Dynamic response of a Timoshenko beam on a Winkler foundation subjected to a moving mass" 55 (55): 203-215, 1998

      12 Sadowski, T., "Cracks propagation and interaction in an orthotropic elastic material: analytical and numerical methods" 46 (46): 687-693, 2009

      13 Thielemann, W., "Contributions to the problem of the buckling of orthotropic plates"

      14 Utku, M., "Circular plates on elastic foundations modelled with annular plates" 78 : 365-374, 2000

      15 Joffe, R., "COD-based simulation of transverse cracking and stiffness reduction in [S/90 n] s laminates" 61 : 637-656, 2001

      16 Das, Y., "Buckling of rectangular orthotropic plates" 11 (11): 97-103, 1963

      17 Inho Hwang, "Buckling of Orthotropic Plates under Various Inplane Loads" 대한토목학회 10 (10): 349-356, 2006

      18 Aiello, M.A., "Buckling and vibration of unsymmetric laminated resting on elastic foundation under in-plane and shear forces" 44 : 31-41, 1999

      19 Xiang, Y., "Buckling and vibration of thick laminates on Pasternak foundation" ASCE 122 (122): 54-63, 1996

      20 Sundaramoorthy Rajasekaran, "Buckling and vibration of rectangular plates of variable thickness with different end conditions by finite difference technique" 국제구조공학회 46 (46): 269-294, 2013

      21 Gupta, U. S., "Buckling and vibration of polar orthotropic circular plate resting Winkler foundation" 297 : 457-476, 2006

      22 Reddy, J.N., "Buckling and vibration of laminated composite plates using various plate theories" 27 (27): 1808-1817, 1989

      23 Akavci, S. S., "Buckling and Free vibration analysis of symmetric and antisymmetric laminated composite plates on an elastic foundation" 26 (26): 1907-1919, 2007

      24 Kim, S. E., "Buckling analysis of plate using the two variables refined plate theory" 47 : 455-462, 2009

      25 Bao, G., "Analytic and finite element solutions for bending and buckling of orthotropic rectangular plates" 34 : 1797-1822, 1997

      26 Mechab, B., "Analysis of thick orthotropic laminated composite plates based on higher order shear deformation theory by the new function under thermomechanicalloading" 43 : 1453-1458, 2012

      27 Phan, N.D., "Analysis of laminated composite plates using a Higher–order Shear Deformation Theory" 21 : 2201-2219, 1985

      28 Groves, S. E., "An experimental and analytical treatment of matrix cracking in cross-ply laminates" 27 : 73-79, 1987

      29 Shimpi, R., "A two variable refined plate theory for orthotropic plate analysis" 43 (43): 6783-6799, 2006

      30 D.H. Felix, "A note on buckling and vibration of clamped orthotropic plates under in-plane loads" 국제구조공학회 39 (39): 115-123, 2011

      31 El meiche, N., "A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate" 53 : 237-247, 2011

      32 El-Zafrany, A., "A new fundamental solution for boundary element analysis of thick plates on winkler foundation" 38 : 887-903, 1995

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