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Post-buckling analysis of skew plates subjected to combined in-plane loadings

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Abstract

Post-buckling behavior of laminated composite, sandwich and functionally graded skew plates is analyzed in the present work. The problem formulation is based on higher-order shear deformation theory and von Kármán’s nonlinear kinematics. Linear mapping is used to transform the physical domain into the computational domain. Chebyshev polynomials are used for spatial discretization of governing differential equations and boundary conditions. The nonlinear terms are linearized using quadratic extrapolation technique. The effect of the skew angle on the buckling and post-buckling response of the composite, sandwich and FGM-clamped skew plates is investigated for different combinations of in-plane compressive loadings.

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References

  1. Ng S.S.F., Das B.: Free vibration and buckling analysis of clamped skew sandwich plates by the Galerkin method. J. Sound Vib. 107, 97–106 (1986)

    Article  MATH  Google Scholar 

  2. Kamal K., Durvasula S.: A continuum solution to the problems of composite laminate analysis. Def. Sci. J. 141, 69–77 (1991)

    Google Scholar 

  3. Liao C.L., Lee Z.Y.: Elastic stability of skew laminated composite plates subjected to biaxial follower forces. Int. J. Numer. Methods Eng. 36, 1825–1847 (1993)

    Article  MATH  Google Scholar 

  4. Jaunky N., Knight N.F. Jr., Ambur D.R.: Buckling of arbitrary quadrilateral anisotropic plates. AIAA J. 33, 938–944 (1995)

    Article  MATH  Google Scholar 

  5. Krishna Reddy A.R., Palaninathan R.: Buckling of laminated skew plates. Thin-Walled Struct. 22, 241–259 (1995)

    Article  Google Scholar 

  6. Wang S.: Buckling of thin skew fibre-reinforced composite laminates. Thin-Walled Struct. 28, 21–41 (1997)

    Article  Google Scholar 

  7. Wang S.: Buckling analysis of skew fibre-reinforced composite laminates based on first-order shear deformation plate theory. Compos. Struct. 37, 5–19 (1997)

    Article  Google Scholar 

  8. Hu H.T., Tzeng W.L.: Buckling analysis of skew laminate plates subjected to uniaxial in plane loads. Thin Walled Struct. 38, 53–77 (2000)

    Article  Google Scholar 

  9. Babu C.S., Kant T.: Two shear deformable finite element models for buckling analysis of skew fibre-reinforced composite and sandwich panels. Compos. Struct. 46, 115–124 (1999)

    Article  Google Scholar 

  10. Karami G., Shahpari S.A., Malekzadeh P.: DQM analysis of skewed and trapezoidal laminated plates. Compos. Struct. 59, 393–402 (2003)

    Article  Google Scholar 

  11. Ganapathi M., Prakash T., Sundararajan N.: Influence of functionally graded material on buckling of skew plates under mechanical loads. J. Eng. Mech. 132, 902–905 (2006)

    Article  Google Scholar 

  12. Civalek O.: Free vibration and buckling analyses of composite plates with straight-sided quadrilateral domain based on DSC approach. Finite Elem. Anal. Des. 43, 1013–1022 (2007)

    Article  Google Scholar 

  13. Malekzadeh P.: Three-dimensional thermal buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates using differential quadrature method. Compos. Struct. 93, 1246–1254 (2011)

    Article  Google Scholar 

  14. Taj G., Chakrabarti A.: Static and dynamic analysis of functionally graded skew plates. J. Eng. Mech. 139, 848–857 (2013)

    Article  Google Scholar 

  15. Singha M.K., Ramachandra L.S., Bandyopadhyay J.N.: Stability and strength of composite skew plates under thermomechanical loads. AIAA J. 39, 1618–1623 (2001)

    Article  Google Scholar 

  16. Prakash T., Singha M.K., Ganapathi M.: Thermal postbuckling analyses of FGM skew plates. Eng. Struct. 30, 22–32 (2008)

    Article  Google Scholar 

  17. Daripa R., Singha M.K.: Influence of corner stresses on the stability characteristics of composite skew plates. Int. J. Non-linear Mech. 44, 138–146 (2009)

    Article  MATH  Google Scholar 

  18. Vosoughi A.R., Malekzadeh P., Banan M.R., Banan M.R.: Thermal postbuckling of laminated composite skew plates with temperature-dependent properties. Thin-Walled Struct. 49, 913–922 (2011)

    Article  Google Scholar 

  19. Upadhyay A.K., Shukla K.K.: Post-buckling behavior of composite and sandwich skew plates. Int. J. Non-linear Mech. 55, 120–127 (2013)

    Article  Google Scholar 

  20. Upadhyay A.K., Shukla K.K.: Large deformation flexural behavior of laminated composite skew plates: an analytical approach. Compos. Struct. 94, 3722–3735 (2012)

    Article  Google Scholar 

  21. Fox L., Parker I.B.: Chebyshev Polynomials in Numerical Analysis. Oxford University Press, London (1968)

    Google Scholar 

  22. Shukla K.K., Nath Y.: Analytical solution for buckling and post buckling of angle-ply laminated composite plates under thermo mechanical loading. Int. J. Non-linear Mech. 36, 1097–1108 (2001)

    Article  MATH  Google Scholar 

  23. Leissa A.W.: Conditions for laminated plates to remain flat under inplane loading. Compos. Struct. 6, 261–270 (1986)

    Article  Google Scholar 

  24. Aydogdu M.: Conditions for functionally graded plates to remain flat under in-plane loads by classical plate theory. Compos. Struct. 82, 155–157 (2008)

    Article  Google Scholar 

  25. Malekzadeh P., Haghighi M.R.G., Beni A.A.: Buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates on elastic foundations. Meccanica 47, 321–333 (2012)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Applied Mechanics, MNNIT, Allahabad, 211004, India

    A. K. Upadhyay & K. K. Shukla

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  1. A. K. Upadhyay
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  2. K. K. Shukla
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Correspondence to K. K. Shukla.

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Upadhyay, A.K., Shukla, K.K. Post-buckling analysis of skew plates subjected to combined in-plane loadings. Acta Mech 225, 2959–2968 (2014). https://doi.org/10.1007/s00707-014-1205-2

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  • DOI: https://doi.org/10.1007/s00707-014-1205-2

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