Engineering with Computers

, Volume 35, Issue 2, pp 677–685 | Cite as

Mixed mode embedded circular delamination propagation in spar wingskin joint made with curved FRP composite laminates

  • P. K. MishraEmail author
  • A. K. Pradhan
  • M. K. Pandit
Original Article


This paper presents the mixed mode propagation of circular delamination pre-embedded at the interface of 1st and 2nd plies of wingskin adherend of the Spar Wingskin Joint made with curved fibre reinforced plastic composite panels. Three dimensional finite element analyses of these joints under uniformly applied out of plane transverse load have been carried out using contact and multi point constraint elements. The growth of embedded delamination is simulated by sequential release of the constraints of these elements ahead of the delamination front. The inter-laminar stresses and strain energy release rate values being indicative parameters in delamination growth studies are computed in the vicinity of the curved delamination fronts. These values are evaluated using virtual crack closure technique. It has been observed that the circular delamination size significantly influences the magnitudes of inter-laminar stresses and the three components of SERR values in the vicinity of delamination front. Maximum values of peel stress and mode I SERR occur at orthogonal locations to the loading direction i.e. at θ = 90° and 270° measured counter clockwise from positive X-axis along the periphery of the delamination fronts. The variations of inter-laminar stresses and the values of SERR are non-uniform along the circular delamination front indicating variable rates of propagation. This simulation procedure will be used for the assessment of loss of structural integrity of the SWJs having circular delamination when the embedded delamination undergoes propagation upon increase of loading.


Delamination Finite element analysis (FEA) Multi point constraint (MPC) Spar wingskin joint (SWJ) Strain energy release rate (SERR) Virtual crack closure technique (VCCT) 



  1. 1.
    Szekrényes A (2017) Antiplane-inplane shear mode delamination between two second-order shear deformable composite plates. Math Mech Solids 22(3):259–282MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Szekrényes A, Uj J (2006) Comparison of some improved solutions for mixed-mode composite delamination coupons. Compos Struct 72(3):321–329CrossRefGoogle Scholar
  3. 3.
    Hirwani CK, Panda SK, Mahapatra TR, Mandal SK, Mahapatra SS, De AK (2017) Delamination effect on flexural responses of layered curved shallow shell panel-experimental and numerical analysis. Int J Comput Methods 15(1):1850027MathSciNetzbMATHGoogle Scholar
  4. 4.
    Hirwani CK, Panda SK, Mahapatra SS, Mandal SK, De AK (2017) Dynamic behaviour of delaminated composite plate under blast loading. In: ASME 2017 Gas Turbine India Conference GTINDIA 2017, vol 2, pp 1–7Google Scholar
  5. 5.
    Sahoo SS, Panda SK, Sen D (2016) Effect of delamination on static and dynamic behavior of laminated composite plate. AIAA J 54(8):2530–2544CrossRefGoogle Scholar
  6. 6.
    Hirwani CK et al (2016) Experimental and numerical analysis of free vibration of delaminated curved panel. Aerosp Sci Technol 54:353–370CrossRefGoogle Scholar
  7. 7.
    Hirwani CK, Panda SK, Mahapatra SS, Mandal SK, Srivastava L, Buragohain MK (2018) Flexural strength of delaminated composite plate—an experimental validation. Int J Damage Mech 27(2):296–329CrossRefGoogle Scholar
  8. 8.
    Hirwani K, Panda SK, Mahapatra TR (2018) Nonlinear finite element analysis of transient behavior of delaminated composite plate. J Vib Acoust 140(2):21001CrossRefGoogle Scholar
  9. 9.
    Sahoo SS, Hirwani CK, Panda SK, Sen D (2017) Numerical analysis of vibration and transient behaviour of laminated composite curved shallow shell structure: an experimental validation. Sci Iran. Google Scholar
  10. 10.
    Hirwani CK, Panda SK, Mahapatra TR, Mahapatra SS (2017) Numerical study and experimental validation of dynamic characteristics of delaminated composite flat and curved shallow shell structure. J Aerosp Eng 30(5):4017045CrossRefGoogle Scholar
  11. 11.
    Juhász Z, Turcsán T, Tóth TB, Szekrényes A (2017) Sensitivity analysis for frequency based prediction of crack size in composite plates with through-the-width delamination. Int J Damage Mech 27(6):859–876CrossRefGoogle Scholar
  12. 12.
    Hirwani CK, Mittal H, Panda SK, Mahapatra SS, Mandal SK, De AK (2017) Simulation study of stress and deformation behaviour of debonded laminated structure. IOP Conf Ser Mater Sci Eng 178(1):012005CrossRefGoogle Scholar
  13. 13.
    Hirwani CK, Panda SK, Mahapatra TR (2018) Thermomechanical deflection and stress responses of delaminated shallow shell structure using higher-order theories. Compos Struct 184:135–145CrossRefGoogle Scholar
  14. 14.
    Lackman LM, O’brien WL, Loyd MS (1980) Advanced composites integral structures meet the challenge of future aircraft systems. In: Fibrous composites in structural design, Springer, New York, pp 125–144CrossRefGoogle Scholar
  15. 15.
    Gillespie JW Jr, Pipes RB (1978) Behavior of integral composite joints-finite element and experimental evaluation 1. J Compos Mater 12(4):408–421CrossRefGoogle Scholar
  16. 16.
    Cope RD, Pipes RB (1980) Design of the spar-wingskin joint. In: Fibrous composites in structural design, Springer, New York, pp 603–617CrossRefGoogle Scholar
  17. 17.
    Cope RD, Pipes RB (1982) Design of the composite spar-wingskin joint. Composites 13(1):47–53CrossRefGoogle Scholar
  18. 18.
    Tsai SW (2005) Three decades of composites activities at US Air Force Materials Laboratory. Compos Sci Technol 65(15):2295–2299CrossRefGoogle Scholar
  19. 19.
    Panigrahi SK, Pradhan B (2008) Development of load coupler profiles of spar wingskin joints with improved performance for integral structural construction of aircraft wings. J Reinf Plast Compos 28(6):657–673CrossRefGoogle Scholar
  20. 20.
    Mishra PK, Pradhan AK, Pandit MK (2016) Delamination propagation analyses of spar wingskin joints made with curved laminated FRP composite panels. J Adhes Sci Technol 30(7):708–728CrossRefGoogle Scholar
  21. 21.
    Mishra PK, Pradhan AK, Pandit MK (2016) Inter-laminar delamination analyses of Spar Wingskin Joints made with flat FRP composite laminates. Int J Adhes Adhes 68:19–29CrossRefGoogle Scholar
  22. 22.
    Pradhan AK, Parida SK (2013) 3D FE delamination induced damage analyses of adhesive bonded lap shear joints made with curved laminated FRP composite panels. J Adhes Sci Technol 27(10):1104–1121CrossRefGoogle Scholar
  23. 23.
    Rispler R, Steven GP, Tong L (1997) Failure analysis of composite T-joints including inserts. J Reinf Plast Compos 16(18):1642–1658CrossRefGoogle Scholar
  24. 24.
    Sun X, Tong L (2004) Fracture toughness analysis of inclined crack in cylindrical shell repaired with bonded composite patch. Compos Struct 66(1–4):639–645CrossRefGoogle Scholar
  25. 25.
    Sun X, Tong L (2004) Curvature effect on fracture toughness of cracked cylindrical shells bonded with patches. AIAA J 42(12):2585–2591CrossRefGoogle Scholar
  26. 26.
    Czarnocki P (2000) Effect of reinforcement arrangement on distribution of G I, G II and G III along fronts of circular delaminations in orthotropic composite plates. Eur Struct Integr Soc 27:49–60CrossRefGoogle Scholar
  27. 27.
    Panda SK, Pradhan B (2007) Mixed-mode analysis of superimposed thermo-elastic effects in fiber-reinforced composites with embedded interface delaminations. Compos Struct 77(4):570–580CrossRefGoogle Scholar
  28. 28.
    Babu PR, Pradhan B (2007) Effect of damage levels and curing stresses on delamination growth behaviour emanating from circular holes in laminated FRP composites. Compos Part A Appl Sci Manuf 38(12):2412–2421CrossRefGoogle Scholar
  29. 29.
    Tong L, Steven GP (1999) Analysis and design of structural bonded joints. University of Sydney, CamperdownCrossRefGoogle Scholar
  30. 30.
    Tay TE, Shen F, Lee KH, Scaglione A, Di Sciuva M (1999) Mesh design in finite element analysis of post-buckled delamination in composite laminates. Compos Struct 47(1):603–611CrossRefGoogle Scholar
  31. 31.
    Raju S, Crews JH, Aminpour MA (1988) Convergence of strain energy release rate components for edge-delaminated composite laminates. Eng Fract Mech 30(3):383–396CrossRefGoogle Scholar
  32. 32.
    Rice JR (1988) Elastic fracture mechanics concepts for interfacial cracks. J Appl Mech 55(1):98–103CrossRefGoogle Scholar
  33. 33.
    Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24(3):361–364Google Scholar
  34. 34.
    Rybicki EF, Kanninen MF (1977) A finite element calculation of stress intensity factors by a modified crack closure integral. Eng Fract Mech 9(4):931–938CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical SciencesIndian Institute of TechnologyBhubaneswarIndia

Personalised recommendations