BUCKLING LOAD AND POST-BUCKLING SOLUTION FOR MODE SHAPE OF DELAMINATED BEAM

This paper presents elastic buckling and post-buckling analysis of an axially loaded isotropic beam-plate with an across-the- width delamination located at a given depth, subjected to in-plane compression. A simple analytical model for determining the global buckling load of the plate with delamination and the mode shape is developed, for various delamination depths and lengths. The influence of applied load on the displacement for a given crack length and depth is studied in the post-buckling state where the non-linear large rotations are included. It is observed that the global buckling load for local delamination buckling increases with the increase in delamination depth from the upper surface, for a given delamination length, and the buckling load decreases if delamination length increases for a given delamination depth. In the post buckling analysis the displacement increases as the applied load increases

___

  • [1] Chai H., Babcock, C.D and Knauss, W., “One dimensional modeling of failure in laminated plates by delamination buckling”, Int..J. Structures, 1981, Vol.17, (11), pp.1069-1083.
  • [2] Wan-Lee Yin, Wang J.T.S. “The energy release rate in the growth of a onedimensional delamination”, journal of Applied Mechanics, 1984, Vol.51, pp. 939-941.
  • [3] G. A. Kardomateas and D.W. Schmuesert, “Buckling and post buckling of delaminated composites under compressive loads including transverse shear effects”, AIAA Journal, 1988, Vol.26, , pp 337-343.
  • [4] J.F. Williams, D.C. Stouffer, S.Ilic and R.Jones, “An analysis of delamination behaviour”, Composite structures, 1986, Vol.5, pp. 203-216
  • [5] Chen H P. “Shear deformation theory for compressive delamination buckling and growth”, AIAA Journal 1991, Vol.29, (5), pp.813–819.
  • [6] Moradi S, Taheri F.“Application of DQM as an effect solution tool for buckling response of delaminated composite plates”, Composite Structures 2001, Vol.51, 439– 449.
  • [7] M S Rao Parlapalli, Dongwei Shu, “Buckling analysis of two-layer beams with an asymmetric delamination” Engineering Structures, 2004, Vol. 26, pp.651–658.
  • [8] Moradi S, Taheri F. Application of the differential quadrature method to the analysis of delamination buckling of composite beam-plates. In proceedings of the computer modelling and simulations in engineering, International conference on computational engineering science, May 1997, pp. 1238–1243
  • [9] Simitses, G. J., Sallam, S. & Yin, W. L., Effect of delamination of axially loaded homogeneous laminated plates. A&I4 J., 23 (1985) 1437-1444
  • [10] Chen, Hsin-Piao, Shear deformation theory for compressive delamination buckling and growth. ALAA J., 29 (1991) 813-819