Fracture Mechanics of Fiber-Reinforced Materials

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


In plane stress of materials composed of two orthogonal families of strong fibers, the analysis based on the assumption of fiber inextensibility is so simple that it becomes possible to predict the course of an advancing crack or tear, and to determine how the shape of the crack depends on the failure criterion.


Failure Criterion Energy Release Rate Fracture Criterion Crack Advance Dynamic Crack Propagation 
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  1. [1]
    PIPKIN, A.C. Stress channelling and boundary layers in strongly anisotropic solids. This volume, Chapter IV.Google Scholar
  2. [2]
    PIPKIN, A.C. Stress analysis for fiber-reinforced materials. Adv. in Appl. Mech. 19, (1979) 1–51.Google Scholar
  3. [3]
    PIPKIN, A.C. and ROGERS, T.G. Crack paths in sheets reinforced with two families of inextensible fibers. Mech. Today 5, (1980) 397–407.Google Scholar
  4. [4]
    MANNION, L.F. Dynamic fracture of idealized fiber-reinforced materials. Ph.D. Thesis, Division of Applied Mathematics, Brown University, 1981. J. Elast., Forthcoming.Google Scholar
  5. [5]
    PIPKIN, A.C. Crack speeds in an ideal fiber-reinforced material. Q. Appl. Math. 42 (1984).Google Scholar

Copyright information

© Springer-Verlag Wien 1984

Authors and Affiliations

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

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