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Special Hybrid Multilayer Finite Elements for 3-D Stress Analyses around Holes in Laminated Composites

In: Computational Mechanics

Author

Listed:
  • Q. P. Yang

    (Nanjing University of Science & Technology)

  • Z. S. Tian

    (Graduate University, Chinese Academy of Sciences, Department of Mechanics)

Abstract

One kind of 3-dimensional assumed stress hybrid multilayer element with a traction-free cylindrical surface is derived using an extended Hellinger-Reissner principle. The essential terms of the assumed stresses is complete polynomials in the natural coordinates of each layer. The equilibrium conditions are imposed a prior in a variational sense through the internal displacements which are also expanded in the natural coordinates. The continuity of the transverse stress on the interlayer over the cylindrical surface are satisfied a posterior. All components of displacement are included since bending/stretching coupling may occur. The transverse-shear deformation effects are incorporated in each layer with displacement continuity enforced along interlayer surface. Example solutions have indicated that the special multilayer finite elements is advantageous in predicting the distributions of circumferential stresses and transverse stresses for laminated composites with holes when very coarse element meshed are used. Meanwhile these special elements possess much more efficiency than the ordinary assumed stress finite elements and the conventional assumed displacement elements.

Suggested Citation

  • Q. P. Yang & Z. S. Tian, 2007. "Special Hybrid Multilayer Finite Elements for 3-D Stress Analyses around Holes in Laminated Composites," Springer Books, in: Computational Mechanics, pages 384-384, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_184
    DOI: 10.1007/978-3-540-75999-7_184
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