Mechanics of Composite Materials

, Volume 29, Issue 5, pp 473–484 | Cite as

Stress-strain state and stability of composite sandwich shells with a scaling zone between the core and facings

  • A. I. Golovanov
  • V. N. Paimushin
Article

Abstract

A finite element model is presented for analyzing the strength and stability of sandwich shells of arbitrary configuration with an adhesion failure zone between the core and one of the facings. The model is based on the assumptions that both facings are laminated Timoshenko-type composite shells, only transverse shear stresses in the core and normal stresses in the thickness direction have nonzero values, a free slip in the tangential plane in the adhesion failure zone and unilateral contact along the normal are possible, and the prebuckling state in the stability problem is linear. Biquadratic nine-node approximations for all functions and numerical integration were used. The displacements and rotation angles of the normals toward the facings as well as stresses in the core are taken as global degrees of freedom. The algebraic problem is solved using a special step-by-step procedure of determining the contact area in the scaling zone and employing unilateral constraints for some of the unknowns. Numerical examples are also given.

Keywords

Shear Stress Finite Element Model Rotation Angle Stability Problem Transverse Shear 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. I. Golovanov and I. Yu. Krasnovskii, "Isoparametric finite element of a composite shell with double deformation approximation", Mekh. Kompozitn. Mater., No. 5, 885–890 (1991).Google Scholar
  2. 2.
    S. S. Solov'ev, "Finite element model of a multilaminar shell with anisotropic layers of varying thickness", Izv. Vyssh. Uchebn. Zaved., Aviats. Tekh., No. 4, 71–75 (1989).Google Scholar
  3. 3.
    D. J. Haas and S. W. A. Lee, "A nine-node assumed-strain finite element for composite plates and shells", Comput. Struct.,26, No. 3, 445–452 (1987).Google Scholar
  4. 4.
    A. I. Golovanov and M. S. Kornishin, Introduction to the Finite Element Method for Thin Shells [in Russian], Kazan (1989).Google Scholar
  5. 5.
    V. N. Paimushin, "Nonlinear theory of the mean flexure of sandwich shells with adhesion failure segment defects", Prikl. Mekh., 223, No. 11, 32–38 (1987).Google Scholar
  6. 6.
    V. N. Paimushin, "Variational formulation of problems of the mechanics of composite conically-uniform structures", Prikl. Mekh.,21, No. 1, 27–34 (1985).Google Scholar
  7. 7.
    H. C. Huang and E. Hinton, "A new nine-node degenerated shell element with enhanced membrane and shear interpolation", Intern. J. Numerical Methods Eng.,22, No. 1, 73–92 (1986).Google Scholar
  8. 8.
    J. Jang and P. M. Pinsky, "An assumed covariant strain based 9-node shell element", Intern. J. Numerical Methods Eng.,24, No. 12, 2389–2411 (1987).Google Scholar
  9. 9.
    K. C. Park and G. M. Stanley, "A curvedC ° shell element based on assumed natural coordinate strain", J. Appl. Mech.,53, No. 2, 278–290 (1986).Google Scholar
  10. 10.
    K. Vasidzu, Variational Methods in the Theory of Elasticity and Plasticity [Russian translation], Mir, Moscow (1987).Google Scholar
  11. 11.
    S. B. Cherevatskii and A. I. Golovanov, "Stability calculation for a bulkhead frame with complex structure", Prikl. Mekh.,23, No. 2, 78–92 (1987).Google Scholar
  12. 12.
    D. J. Dawe, "High-order triangular finite element for shell analysis", Intern. J. Solids Struct.,11, No. 10, 1097–1110 (1975).Google Scholar
  13. 13.
    F. Bogner, R. Fox, and L. Schmit, "Calculation of a cylindrical shell by the finite element method", Raket. Tekh. Kosmonavtika,5, No. 4, 170–175 (1967).Google Scholar
  14. 14.
    D. G. Ashwell, "Strain elements with applications to arches, rings and cylindrical shells," in: Finite Element for Thin Shell and Curved Members, Chap. 6, New York (1976), pp. 91–111.Google Scholar
  15. 15.
    N. Pagano and S. Hatfield, "Elastic behavior of a multilaminar two-directional composite material", Raket. Tekh. Kosmonavtika,10, No. 7, 98–101 (1972).Google Scholar
  16. 16.
    L. É. Bryukker, "Some variants of simplifications of equations for the flexure of sandwich plates," in: Calculations of Elements of Aviation Construction [in Russian], 3rd ed. (1965), pp. 74–90.Google Scholar
  17. 17.
    Calculation of Nonuniform Curves Shells and Plates by the Finite Element Method [in Russian], Kiev, Vishcha Shkola (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • A. I. Golovanov
    • 1
  • V. N. Paimushin
    • 1
  1. 1.Kazan State UniversityUSSR

Personalised recommendations