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Buckling analysis of a plate with built-in rectangular delamination by strip distributed transfer function method

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Summary.

Delamination may reduce the buckling of the laminated plate. In this paper, a semi-analytical, semi-exact method, namely the strip transfer function method based on Mindlin’s first-order shear deformation theory is developed to investigate the buckling of a delaminated plate. First, a composite plate with bulit-in rectangular delamination is divided into two kinds of rectangular super-units, one with a delamination and one without. The variational principle is used to obtain equilibrium equations and boundary conditions. Then, by displacement continuity and force balance of nodes that connect two super-units, the characteristic equation for the buckling analysis of the delaminated plate is derived. Consequently, buckling load and mode are computed. By comparing the results of the plate with through-the–width delamination to the analytic solutions of a beam and the results of the finite element method, the validity of this method is tested. Furthermore, the influence of length, depth and position of the delamination, the boundary condition and the plying angle of the material on the buckling load is analyzed.

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References

  • Chen, S., Li, S.: A study of two-dimensional delamination buckling in a symmetrical laminate. J. Shanghai Jiaotong Univ. 7, 89–98 (1990) (in Chinese).

    Google Scholar 

  • Li, S. Chen, S.: An experimental study of delamination buckling failure in a laminate with a single elliptic, or rectangular or triangular disbond. Acta Mater. Compos. Sinica 7, 89–98 (1990) (in Chinese).

    Google Scholar 

  • Yin, W. L., Jane, K. C.: Refined buckling and postbuckling analysis of two-dimensional delamination-I. Analysis and validation. Int. J. Solids Struct. 29, 591–610 (1992).

    Google Scholar 

  • Yin, W. L., Jane, K. C.: Refined buckling and postbuckling analysis of two-dimensional delamination-II. Results for anisotropic laminates and conclusion. Int. J. Solids Struct. 29, 611–639 (1992).

    Google Scholar 

  • Zhang, X., Yu, S.: The growth simulation of circular buckling-driven delamination. Int. J. Solids Struct. 36, 1799–1821 (1999).

    Google Scholar 

  • Whitcomb, J. D.: Three-dimensional analysis of a postbuckled embedded delamination. J. Comp. Mater. 23, 862–889 (1989).

    Google Scholar 

  • Sun, X., Chen, H., Su, C. Liu, X.: Delamination growth in composite laminates. Acta Mech. Sinica 32, 224–231 (2000) (in Chinese).

    Google Scholar 

  • Li, D., Zhou, J.: Buckling analysis of delaminated beam for the high-order shear deformation theory. Acta Mech. Sol. Sinica 21, 225–233 (2000) (in Chinese).

    Google Scholar 

  • Zhou, J. Yang, B.: Strip distributed transfer function method for analysis of plates. Int. J. Num. Meth. Engng. 39, 1915–1932 (1996).

    Google Scholar 

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Correspondence to D. Li.

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Li, D., Tang, G., Zhou, J. et al. Buckling analysis of a plate with built-in rectangular delamination by strip distributed transfer function method. Acta Mechanica 176, 231–243 (2005). https://doi.org/10.1007/s00707-004-0206-y

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  • DOI: https://doi.org/10.1007/s00707-004-0206-y

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