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Static analysis of delaminated composite shell panels using layerwise theory

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Abstract

In this paper, a layerwise theory and associated finite element model are presented to study the bending deformations of delaminated composite shell panels. The layerwise theory is based on the assumption of first-order shear deformation theory in each layer, and it satisfies the displacement continuity at layer interfaces. The presence of multiple discrete delaminations is modeled through the use of Heaviside step functions. Delamination movements (relative slip and opening) are included in the theory as additional degrees of freedom. The finite element model developed is validated by comparing the present results with those available in the literature. This model based on the layerwise theory is subsequently used for the first time in the literature to study the static response and delamination movements such as interfacial slipping and opening of delaminated composite shell panels.

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References

  1. Campanelli R.W., Engblom J.J.: The effect of delaminations in graphite/PEEK composite plates on modal dynamic characteristics. Compos. Struct. 31, 195–202 (1995)

    Article  Google Scholar 

  2. Parhi P.K., Bhattacharyya S.S., Sinha P.K.: Hygrothermal effects on the dynamic behavior of multiple delaminated composite plates and shells. J. Sound Vib. 248, 195–214 (2001)

    Article  Google Scholar 

  3. Oh J., Cho M., Kim J.S.: Dynamic analysis of composite plate with multiple delaminations based on higher order zigzag theory. Int. J. Solids Struct. 42, 6122–6140 (2005)

    Article  MATH  Google Scholar 

  4. Park T., Lee S.Y., Voyiadjis G.Z.: Finite element vibration analysis of composite skew laminates containing delaminations around quadrilateral cutouts. Compos.: Part B 40, 225–236 (2009)

    Article  Google Scholar 

  5. Kim J.S., Cho M.: Efficient higher order shell theory for laminated composites with multiple delaminations. AIAA J. 41, 941–950 (2003)

    Article  MathSciNet  Google Scholar 

  6. Park T., Lee S.Y.: Parametric instability of delaminated composite spherical shells subjected to in-plane pulsating forces. Compos. Struct. 91, 196–204 (2009)

    Article  Google Scholar 

  7. Reddy J.N.: A generalization of two-dimensional theories of laminated composite plates. Commun. Appl. Num. Methods 3, 173–180 (1987)

    Article  MATH  Google Scholar 

  8. Barbero E.J., Reddy J.N.: General two dimensional theory of laminated cylindrical shells. AIAA J. 28, 544–553 (1990)

    Article  MATH  Google Scholar 

  9. Kam T.Y., Jan T.B.: First-ply failure analysis of laminated composite plates based on the layerwise linear displacement theory. Compos. Struct. 32, 583–591 (1995)

    Article  Google Scholar 

  10. Heyliger P., Pei K.C., Saravanos D.: Layerwise mechanics and finite element model for laminated piezoelectric shells. AIAA J. 34, 2353–2360 (1996)

    Article  MATH  Google Scholar 

  11. Lee J.: Thermally induced buckling of laminated composites by a layerwise theory. Comput. Struct. 65, 917–922 (1997)

    Article  MATH  Google Scholar 

  12. Ferreira A.J.M., Roque C.M.C., Jorge R.M.N., Kansa E.J.: Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations. Eng. Anal. Bound. Elem. 29, 1104–1114 (2005)

    Article  MATH  Google Scholar 

  13. Barbero E.J., Reddy J.N.: Modeling of delamination in composite laminates using a layer-wise plate theory. Int. J. Solids Struct. 28, 373–388 (1991)

    Article  MATH  Google Scholar 

  14. Lee J.: Free vibration analysis of delaminated composite beams. Comput. Struct. 74, 121–129 (2000)

    Article  Google Scholar 

  15. Kim H.S., Chattopadhyay A., Ghoshal A.: Dynamic analysis of composite laminates with embedded multiple delamination using an improved layerwise theory. AIAA J. 41, 1771–1779 (2003)

    Article  Google Scholar 

  16. Chattopadhyay A., Kim H.S., Ghoshal A.: Nonlinear vibration analysis of smart composite structures with discrete delamination using a refined layerwise theory. J. Sound Vib. 273, 387–407 (2004)

    Article  Google Scholar 

  17. Pagano N.J.: Exact solutions for composite laminates in cylindrical bending. J. Compos. Mat. 3, 398–411 (1969)

    Article  Google Scholar 

  18. Reddy J.N.: Higher-order theory for laminated composite plates. J. Appl. Mech. 51, 745–752 (1984)

    Article  MATH  Google Scholar 

  19. Ferreira A.J.M.: Analysis of composite plates using a layerwise theory and multiquadrics discretization. Mech. Adv. Mat. Struct. 12, 99–112 (2005)

    Article  Google Scholar 

  20. Shen M.-H.H., Grady J.E.: Free vibrations of delaminated beams. AIAA J. 30, 1361–1370 (1992)

    Article  Google Scholar 

  21. Cho M., Kim J.-S.: Higher-order zig-zag theory for laminated composites with multiple delaminations. J. Appl. Mech. 68, 869–877 (2001)

    Article  MATH  Google Scholar 

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  1. Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi, 110016, India

    Namita Nanda

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  1. Namita Nanda
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Correspondence to Namita Nanda.

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Nanda, N. Static analysis of delaminated composite shell panels using layerwise theory. Acta Mech 225, 2893–2901 (2014). https://doi.org/10.1007/s00707-014-1200-7

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  • DOI: https://doi.org/10.1007/s00707-014-1200-7

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