Skip to main content
SpringerLink
Log in

Stress channelling in transversely isotropic elastic composites

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Résumé

Une théorie a déjà été proposée au sujet des matériaux à fibres de renforcement où l'on supposait que ces dernières étaient inextensibles et uniformément distribuées dans un composite considéré comme incompressible. Cependant, quelques unes des prédictions de cette théorie semblent être fondamentalement en désaccord avec la théorie classique de l'élasticité. Il est démontré ici que les résultats inattendus de cette théorie correspondent en fait à des cas limites de la théorie classique de l'élasticité pour des matériaux à isotropie transversale.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. C. Pipkin andT. G. Rogers,Plane Deformations of Incompressible Fiber-Reinforced Materials, J. appl. Mech. Forthcoming.

  2. A. C. Pipkin andT. G. Pogers,A Mixed Boundary Value Problem for Fiber-Reinforced Materials, Q. appl. Math.29, 151 (1971).

    Google Scholar 

  3. T. G. Rogers andA. C. Pipkin,Small Deflections of Fiber-Reinforced Beams or Slabs, J. appl. Mech. Forthcoming.

  4. T. G. Rogers andA. C. Pipkin,Finite Lateral Compression of a Fiber-Reinforced Tube, Q. J. Mech. appl. Math. Forthcoming.

  5. G. C. Everstine andT. G. Rogers,A Theory of Machining of Fiber-Reinforced Materials, J. Comp. Mat.5, 94 (1971).

    Google Scholar 

  6. B. C. Kao andA. C. Pipkin,Finite Buckling of Fiber-Reinforced Columns, Acta Mech. Forthcoming.

  7. S. G. Lekhnitskii,Theory of Elasticity of an Anisotropic Elastic Body (Holden-Day, Inc., San Francisco 1963).

    Google Scholar 

Download references

Author information

Author notes

  1. Gordon C. Everstine

    Present address: Naval Ship Research and Development Center, Washington, D.C.

Authors and Affiliations

  1. Div. of Applied Mathematics, Brown University, Providence, R.I., USA

    Gordon C. Everstine & Allen C. Pipkin

Authors
  1. Gordon C. Everstine
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Allen C. Pipkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Everstine, G.C., Pipkin, A.C. Stress channelling in transversely isotropic elastic composites. Journal of Applied Mathematics and Physics (ZAMP) 22, 825–834 (1971). https://doi.org/10.1007/BF01591811

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01591811

Keywords

Search

Navigation