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Orthotropic Beam and Plate Problems — An Edge-Function Method

  • J. J. Grannell
  • J. Dwyer
Conference paper

Summary

An Edge-function method is developed and applied to the solution of orthotropic plane strain and generalized plane stress problems for bodies with rectilinear polygonal cross-section containing elliptical holes. The displacement is approximated by a linear combination of fields each of which satisfy the equilibrium equations. The boundary conditions are approximated using a boundary Galerkin method. Numerical solutions are presented.

Keywords

Complex Potential Elliptical Hole Boundary Equation Cartesian Axis Virtual Work Principle 
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References

  1. 1.
    Dwyer, J.: Application of the edge-function method to singular plane problems in anisotropic elasticity. Ph.D. Thesis. UCC 1986.Google Scholar
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    Fisher, E.S., McSkimin, H.J.: Adibatic elastic moduli of single crystal Alpha-Uranium. Journal Applied Physics 29 (1958) 1473–1484.ADSCrossRefGoogle Scholar
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    Granneil J.J.: Boundary Galerkin and hybrid finite element methods in elasticity. Preprint MPJG-874. University College Cork 1987.Google Scholar
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    Lekhnitskii, S.G.: Theory of elasticity of an anisotropic elastic body. San-Francisco: Holden-Day 1963.zbMATHGoogle Scholar
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    Whitney, J.M.: Elasticity analysis of orthotropic beams under concentrated loads. Composites Science and Technology 22 (1985) 167–184.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • J. J. Grannell
    • 1
  • J. Dwyer
    • 2
  1. 1.Department of Mathematical PhysicsUniversity CollegeCorkIreland
  2. 2.Department of Mathematics and ComputingCork Regional Technical CollegeIreland

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