Journal of Elasticity

, Volume 6, Issue 4, pp 353–367 | Cite as

Dynamic universal solutions for fiber-reinforced incompressible isotropic elastic materials

  • E. C. Aifantis
  • D. E. Beskos
Article

Abstract

We consider the effect of a fiber-reinforcement on the dynamic universality of the following families of motions: bending and shearing of a rectangular block; straightening and shearing of a sector of a circular tube; inflation, eversion, extension, bending and shearing of a sector of a circular tube; inflation, extension, bending and azimuthal shearing of a sector of a circular tube.

Keywords

Elastic Material Circular Tube Rectangular Block Universal Solution Isotropic Elastic Material 
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.

Résumé

Nous avons considéré l'effet d'un renforcement par fibre sur l'universalité dynamique des familles de mouvement suivant: courbage et cisaillement d'un bloc rectangulaire; redressement et cisaillement d'un secteur de tube circulaire; gonflement, retournement, allongement, courbage et cisaillement d'un secteur de tube circulaire; gonflement, allongement, courbage et cisaillement azimuthal d'un secteur de tube circulaire.

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References

  1. [1]
    Beskos, D. E., “Universal Solutions for Fiber-Reinforced Incompressible Isotropic Elastic Materials”, Int. Jl. Solids Struct. 9 (1973) 553Google Scholar
  2. [2]
    Aifantis, E. C. and Beskos, D. E., “Inflation, Bending, Extension and Azimuthal Shearing of a Fiber-Reinforced Elastic Sector of a Circular Tube,“ Acta Mechanica (to appear)Google Scholar
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    Wang, C.-C. and Truesdell, C., Introduction to Rational Elasticity, Noordhoff, The Netherlands 1973Google Scholar
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    Truesdell, C., “Solutio Generalis et Accurata Problematum Quamplurimorum de Motu Corporum Elasticorum Incompremibilium in Deformationibus val de Magnis”, Arch. Rat. Mech. Anal. 11 (1962) 106Google Scholar
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    Ericksen, J. L. and Rivlin, R. S., “Large Elastic Deformation of Homogeneous Anisotropic Materials”, Jl. Rat. Mech. Anal. 3 (1954) 281Google Scholar
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    Truesdell, C. and Noll, W., “The Non-Linear Field Theories of Mechanics”, in Handbuch der Physik, edited by S. Flügge, Vol. III/3, Springer-Verlag 1965Google Scholar
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    Beskos, D. E. and Jenkins, J. T., “A Mechanical Model for Mammalian Tendon”, Jl. Appl. Mech. 42 (1975) 755Google Scholar

Copyright information

© Noordhoff International Publishing 1976

Authors and Affiliations

  • E. C. Aifantis
    • 1
  • D. E. Beskos
    • 2
  1. 1.Department of Chemical Engineering and Materials ScienceUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of Civil and Mineral EngineeringUniversity of MinnesotaMinneapolisUSA

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