Skip to main content
Log in

Delamination growth in buckled composite struts

  • ISDMM15
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Existing analytical models dealing with buckling and postbuckling phenomena of delaminated composites comprise one limitation: the restriction to stationary delaminations. In the current work, an analytical framework is presented which allows to model the postbuckling response of composites without such limitation. Therefore, the well-known problem of a composite strut with a through-the-width delamination is studied. The system is fully described by a set of I generalized coordinates. The postbuckling response for a stationary delamination is modelled using the conventional total potential energy approach. The postbuckling response for a non-stationary delamination, i.e. once delamination growth occurs, is modelled using an extended total potential energy functional in which the delamination length is expressed by the generalized coordinates and the load parameters. By solving the underlying variational principle the postbuckling response is obtained. Implementing the RayleighRitz method yields a set of non-linear algebraic equations which is solved numerically. Postbuckling responses for a cross-ply laminate are provided until the strut fails. Depending on delamination depth and length additional load bearing capacities of such composite struts are documented before failure due to unstable delamination growth occurs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Chai H, Babcock CD (1985) Two-dimensional modelling of compressive failure in delaminated laminates. J Compos Mater 19:67–98

    Article  Google Scholar 

  • Chai H, Babcock CD, Knauss WG (1981) One dimensional modelling of failure in laminated plates by delamination buckling. Int J Solids Struct 17(11):1069–1083

    Article  Google Scholar 

  • Doedel EJ, Oldeman BE (2012) Auto-07p: continuation and bifurcation software for ordinary differential equations: user’s manual. Concordia University, Montreal

  • Hibbitt D, Karlsson B, Sorensen P (1998) ABAQUS/standard: user’s manual, vol 1. Hibbitt, Karlsson and Sorensen, Pawtucket

  • Huang H, Kardomateas GA (1998) Buckling of orthotropic beam-plates with multiple central delaminations. Int J Solids Struct 35(13):1355–1362

    Article  Google Scholar 

  • Hunt GW, Hu B, Butler R, Almond DP, Wright JE (2004) Nonlinear modeling of delaminated struts. AIAA J 42(11):2364–2372

    Article  Google Scholar 

  • Nilsson KF, Asp LE, Alpman JE, Nystedt L (2001) Delamination buckling and growth for delaminations at different depths in a slender composite panel. Int J Solids Struct 38:3039–3071

    Article  Google Scholar 

  • Ovesy HR, Kharazi M (2011) Stability analysis of composite plates with through-the-width delamination. J Eng Mech ASCE 137(2):87–100

    Article  Google Scholar 

  • Peck SO, Springer GS (1991) The behavior of delaminations in composite plates—analytical and experimental results. J Compos Mater 25:907–929

    Google Scholar 

  • Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press, Boca Raton

    Google Scholar 

  • Riccio A, Pietropaoli E (2008) Modeling damage propagation in composite plates with embedded delamination under compressive load. J Compos Mater 42(13):1309–1335

    Article  Google Scholar 

  • Rice JR (1971) Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity. J Mech Phys Solids 19:433–455

    Article  Google Scholar 

  • Schapery RA (1987) Deformation and fracture characterization of inelastic composite materials using potentials. Polym Eng Sci 27(1):63–76

    Article  Google Scholar 

  • Schapery RA (1990) A theory of mechanical behavior of elastic media with growing damage and other changes in structure. J Mech Phys Solids 38(2):215–253

    Article  Google Scholar 

  • Sheinman I, Soffer M (1991) Post-buckling analysis of composite delaminated beams. Int J Solids Struct 27(5):639–646

    Article  Google Scholar 

  • Sheinman I, Kardomateas GA, Pelegri AA (1998) Delamination growth during pre- and post-buckling phases of delaminated composite laminates. Int J Solids Struct 35(1–2):19–31

    Article  Google Scholar 

  • Simitses GJ, Sallam S, Yin WL (1985) Effect of delamination of axially loaded homogeneous laminated plates. AIAA J 23(9):1437–1444

    Article  Google Scholar 

  • Thompson JMT, Hunt GW (1973) A general theory of elastic stability. Wiley, Hoboken

    Google Scholar 

  • Thompson JMT, Hunt GW (1984) Elastic instability phenomena. Wiley, Hoboken

    Google Scholar 

  • Wadee MA, Völlmecke C (2010) Semi-analytical modelling of buckling driven delamination in uniaxially compressed damaged plates. IMA J Appl Math 76:120–145

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anton Köllner.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Köllner, A., Jungnickel, R. & Völlmecke, C. Delamination growth in buckled composite struts. Int J Fract 202, 261–269 (2016). https://doi.org/10.1007/s10704-016-0158-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-016-0158-y

Keywords

Navigation