Numerical and Experimental Investigations of Branched Thermal Crack Systems in Self-Stressed Models of Unidirectionally Reinforced Fibrous Composites

  • K. P. Herrmann
  • F. Ferber
Conference paper


Branched thermal crack systems consisting of a combination of curvilinear matrix cracks and interface cracks, respectively, arising in self-stressed models of fibrous composites due to a steady cooling process are investigated by numerical as well as experimental methods of fracture mechanics. Further, by implementation of a maximum strain energy release rate criterion as well as by using the substructure technique a finite element procedure has been constructed for the simulation of a quasistatic crack propagation along the prospective crack path known from a cooling experiment. Finally, by using the method of caustics in transmission and reflection, respectively, stress intensity factors K, at the tips of propagating matrix cracks were determined. A comparison of those fracture mechanical quantities obtained experimentally with associated finite element calculations using a modified crack closure integral showed a very good agreement in the region of stable crack propagation.


Stress Intensity Factor Interface Crack Matrix Crack Strain Energy Release Rate Fibrous Composite 
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  1. /1/.
    Herrmann, K.P.; In: Fracture of Fibrous Composites (ed.C.T. Herakovich) AMD-Vol. 74, New York: ASME (1985) 1–13.Google Scholar
  2. /2/.
    Herrmann, K.P., Ferber, F.; VDI-Berichte 552 (1985) 375–388.Google Scholar
  3. /3/.
    Herrmann, K.P., Ferber, F.; In: Brittle Matrix Composites 1 (eds. A.M. Brandt and I.H. Marschall) London, New York: Elsevier Applied Science Publishers (1986) 49–68.CrossRefGoogle Scholar
  4. /4/.
    Herrmann, K.P., Ferber, F.; In: Proceed, of Internat. Symposium on Composite Materials and Structures (eds. T.T. Loo and C.T. Sun), Beijing (1986) 483–488.Google Scholar
  5. /5/.
    Ferber, F.: Ph.D. Dissertation, Paderborn University 1986.Google Scholar
  6. /6/.
    Ferber, F.; Herrmann, K.P. VDI-Berichte 631 (1987) 63–74.Google Scholar
  7. /7/.
    Kalthoff, J.F.; In: Handbook on Experimental Mechanics (ed. A.S. Kobayashi), New Jersey, Prentice Hall 1985.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • K. P. Herrmann
    • 1
  • F. Ferber
    • 1
  1. 1.Laboratorium für Technische MechanikPaderborn UniversityPaderbornGermany

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