Advertisement

Stress Channelling and Boundary Layers in Strongly Anisotropic Solids

  • A. C. Pipkin
Part of the International Centre for Mechanical Sciences book series (CISM, volume 282)

Abstract

Problems involving materials reinforced with strong fibers can be simplified very greatly by introducing the approximation that the fibers are inextensible. This leads to some striking results that at first do not appear to be correct, but which on closer examination are seen to be clear and forceful representations of real phenomena, phenomena which occur in highly anisotropic materials but not in the more familiar isotropic materials.

Keywords

Boundary Layer Elastic Solution Outer Limit Boundary Layer Solution Plane Stress Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    ROGERS, T.G. and PIPKIN, A.C. Small deflections of fiber-reinforced beams or slabs. J. Appl. Mech. 38, (1971) 1047–8.CrossRefGoogle Scholar
  2. [2]
    EVERSTINE, G.C. and PIPKIN, A.G. Stress channelling in transversely isotropic elastic composites. ZAMP 22, (1971) 825–34.ADSCrossRefMATHGoogle Scholar
  3. [3]
    PIPKIN, A.C. Stress analysis for fiber-reinforced materials. Advances in Appl. Mech. 19, (1979) 1–51.Google Scholar
  4. [4]
    ENGLAND, A.H., FERRIER, J.E. and THOMAS, J.N. Plane strain and generalized plane stress problems for fibre-reinforced materials. J. Mech. Phys. Solids 21, (1973) 279–301.ADSCrossRefMATHGoogle Scholar
  5. [5]
    MORLAND, L.W. A plane theory of inextensible transversely isotropic elastic composites. Int. J. Solids Struct. 9, (1973) 1501–18.CrossRefGoogle Scholar
  6. [6]
    EVERSTINE, G.C. and PIPKIN, A.C. Boundary layers in fiber-reinforced materials. J. Anpl. Mech. 40, (1973) 518–22.MATHGoogle Scholar
  7. [7]
    SPENCER, A.J.M. Boundary lavers in highly anisotropic plane elasticity. Int. J. Solids Struct. 10, (1974) 1103–23.CrossRefGoogle Scholar
  8. [8]
    SANCHEZ, V. and PIPKIN, A.C. Crack-tip analysis for elastic materials reinforced with strong fibers. Q. J. Mech. Appl. Math. 31, (1978) 349–62.MATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1984

Authors and Affiliations

  • A. C. Pipkin
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

Personalised recommendations