Numerical Study on Failure of Thin Composite Conoidal Shell Roofs Considering Geometric Nonlinearity

Abstract

Thin laminated composite conoidal shell roofs are popular among civil engineers due to its stiff, singly ruled and aesthetically appealing geometry. Such surfaces may undergo large displacements under transverse static overloading. Since no researchers reported failure of laminated conoids using nonlinear strains the authors aim to fill the void in the literature. A finite element code is proposed considering von-Karman nonlinearity. The study of linear and nonlinear failure loads clearly indicates that the linear formulation wrongly overestimates the failure loads and hence, not acceptable from practical engineering standpoint. Moreover, displacements at failure, the coordinate locations from where the failure initiates and the lamina stress initiating failure in the shell are also studied.

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References

  1. Adali S, Cagdas IU (2011) Failure analysis of curved composite panels based on first-ply and buckling failures. Procedía Engineering 10:1591–1596, DOI: https://doi.org/10.1016/j.proeng.2011.04.266

    Article  Google Scholar 

  2. Akhras G, Li WC (2007) Progressive failure analysis of thick composite plates using the spline finite strip method. Composite Structures 79(1):34–43, DOI: https://doi.org/10.1016/j.compstruct.2005.11.035

    Article  Google Scholar 

  3. Bakshi K, Chakravorty D (2013) First ply failure study of composite conoidal shells used as roofing units in civil engineering. Journal of Failure Analysis and Prevention 13:624–633, DOI: https://doi.org/10.1007/s11668-013-9725-y

    Article  Google Scholar 

  4. Bakshi K, Chakravorty D (2014) First ply failure study of thin composite conoidal shells subjected to uniformly distributed load. Thin Walled Structures 76:1–7, DOI: https://doi.org/10.1016/j.tws.2013.10.021

    Article  Google Scholar 

  5. Bakshi K, Chakravorty D (2015) First ply failure loads of composite conoidal shell roofs with varying lamination. Mechanics of Advanced Materials and Structures 22:978–987, DOI: https://doi.org/10.1080/15376494.2014.884660

    Article  Google Scholar 

  6. Chaubey AK, Kumar A, Chakrabarti A (2018) Novel shear deformation model for moderately thick and deep laminated composite conoidal shell. Mechanics Based Design of Structures and Machines 46:650–668, DOI: https://doi.org/10.1080/15397734.2017.1422433

    Article  Google Scholar 

  7. Chattopadhyay B, Sinha PK, Mukhopadhyay M (1995) Geometrically nonlinear analysis of composite stiffened plates using finite elements. Composite Structures 31:107–118, DOI: https://doi.org/10.1016/0263-8223(95)00004-6

    Article  Google Scholar 

  8. Das HS, Chakravorty D (2007) Design aids and selection guidelines for composite conoidal shell roofs - A finite element application. Journal of Reinforced Plastics and Composites 26(17):1793–1819, DOI: https://doi.org/10.1177/0731684407081380

    Article  Google Scholar 

  9. Das HS, Chakravorty D (2009) Finite element application in analysis and design of point supported composite conoidal shell roofs suggesting selection guidelines. The Journal of Strain Analysis for Engineering Design 45(3):165–177, DOI: https://doi.org/10.1243/03093247JSA582

    Article  Google Scholar 

  10. Das HS, Chakravorty D (2010) Bending analysis of stiffened composite conoidal shell roofs through finite element application. Journal of Composite Materials 45(5):525–542, DOI: https://doi.org/10.1177/0021998310376096

    Google Scholar 

  11. Ganesan R, Liu DY (2008) Progressive failure and postbuckling response of tapered composite plates under uni-axial compression. Composite Structures 82(2):159–176, DOI: https://doi.org/10.1016/j.compstruct.2006.12.014

    Article  Google Scholar 

  12. Ghosh A, Chakravorty D (2018) First-ply-failure performance of composite clamped spherical shells. Mechanics of Composite Materials 54: 191–206, DOI: https://doi.org/10.1007/s11029-018-9731-y

    Article  Google Scholar 

  13. Hadid, HA (1964) An analytical and experimental investigation into the bending theory of elastic conoidal shells, PhD Thesis, University of Southampton, Southampton, UK

    Google Scholar 

  14. Kam TY, Jan TB (1995) First ply failure analysis of laminated composite plates based on the layerwise linear displacement theory. Composite Structures 32(1–4):583–591, DOI: https://doi.org/10.1016/0263-8223(95)00069-0

    Article  Google Scholar 

  15. Kam TY, Sher HF (1995) Nonlinear and first ply failure analyses of laminated composite cross ply plates. Journal of Composite Materials 29(4):463–482, DOI: https://doi.org/10.1177/002199839502900403

    Article  Google Scholar 

  16. Kam TY, Sher HF, Chao TM, Chang RR (1996) Predictions of deflection and first ply failure load of thin laminated composite plates via the finite element approach. International Journal of Solids and Structures 33(3):375–398, DOI: https://doi.org/10.1016/0020-7683(95)00042-9

    Article  Google Scholar 

  17. Kumari S, Chakravorty D (2010) On the bending characteristics of damaged composite conoidal shells - A finite element approach. Journal of Reinforced Plastics and Composites 29(21):3287–3296, DOI: https://doi.org/10.1177/0731684410372691

    Article  Google Scholar 

  18. Kumari S, Chakravorty D (2011) Bending of delaminated composite conoidal shells under uniformly distributed load. Journal of Engineering Mechanics 137(10):660–668, DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0000275

    Article  Google Scholar 

  19. Kumar YVS, Srivastava A (2003) First ply failure analysis of laminated stiffened plates. Composite Structures 60(3):307–315, DOI: https://doi.org/10.1016/S0263-8223(02)00350-1

    Article  Google Scholar 

  20. Lal A, Singh BN, Patel D (2012) Stochastic nonlinear failure analysis of laminated composite plates under compressive transverse loading. Composite Structures 94(3):1211–1223, DOI: https://doi.org/10.1016/j.compstruct.2011.11.018

    Article  Google Scholar 

  21. Nayak AN, Bandyopadhyay JN (2002) Free vibration analysis and design aids of stiffened conoidal shells. Journal of Engineering Mechanics 128(4):419–427, DOI: https://doi.org/10.1061/(ASCE)0733-9399(2002)128:4(419)

    Article  Google Scholar 

  22. Nayak AN, Bandyopadhyay JN (2005) Free vibration analysis of laminated stiffened shells. Journal of Engineering Mechanics 131(1): 100–105, DOI: https://doi.org/10.1061/(ASCE)0733-9399(2005)131:1(100)

    Article  Google Scholar 

  23. Nayak AN, Bandyopadhyay JN (2006) Dynamic response analysis of stiffened conoidal shells. Journal of Sound and Vibration 291(3–5): 1288–1297, DOI: https://doi.org/10.1016/j.jsv.2005.04.035

    Article  Google Scholar 

  24. Pandey AK, Reddy JN (1987) A first-ply failure analysis of composite laminates. Computers and Structures 25(3):371–393, DOI: https://doi.org/10.1016/0045-7949(87)90130-1

    Article  Google Scholar 

  25. Pradyumna S, Bandyopadhyay JN (2008) Static and free vibration analyses of laminated shells using a higher order theory. Journal of Reinforced Plastics and Composites 27(2):167–186, DOI: https://doi.org/10.1177/0731684407081385

    Article  Google Scholar 

  26. Pradyumna S, Bandyopadhyay JN (2011) Dynamic instability behavior of laminated hypar and conoid shells using a higher-order shear deformation theory. Thin-Walled Structures 49(1):77–84, DOI: https://doi.org/10.1016/j.tws.2010.08.008

    Article  Google Scholar 

  27. Prusty BG, Ray C, Satsangi SK (2001) First ply failure analysis of stiffened panels-A finite element approach. Composite Structures 51(1):73–81, DOI: https://doi.org/10.1016/S0263-8223(00)00126-4

    Article  Google Scholar 

  28. Reddy YSN, Reddy JN (1992) Linear and nonlinear failure analysis of composite laminates with transverse shear. Composites Science and Technology 44(3):227–255, DOI: https://doi.org/10.1016/0266-3538(92)90015-U

    Article  Google Scholar 

  29. Sengupta J, Ghosh A, Chakravorty D (2015) Progressive failure analysis of laminated composite cylindrical shell roofs. Journal of Failure Analysis and Prevention 15:390–400, DOI: https://doi.org/10.1007/s11668-015-9951-6

    Article  Google Scholar 

  30. Singh SB, Kumar A (1998) Postbuckling response and failure of symmetric laminates under inplane shear. Composites Science and Technology 58(12):1949–1960, DOI: https://doi.org/10.1016/S0266-3538(98)00032-3

    Article  Google Scholar 

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Correspondence to Kaustav Bakshi.

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Bakshi, K., Chakravorty, D. Numerical Study on Failure of Thin Composite Conoidal Shell Roofs Considering Geometric Nonlinearity. KSCE J Civ Eng 24, 913–921 (2020). https://doi.org/10.1007/s12205-020-1464-5

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Keywords

  • Conoidal shells
  • Failure initiation
  • Failure modes/tendencies
  • Geometrically nonlinear strains
  • Finite element method