Stochastic propagation of an array of parallel cracks: Exploratory work on matrix fatigue damage in composite laminates

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Transverse cracking of polymeric matrix materials is an important fatigue damage mechanism in continuous-fiber composite laminates. The propagation of an array of these cracks is a stochastic problem usually treated by Monte Carlo methods. However, this exploratory work proposes an alternative approach wherein the Monte Carlo method is replaced by a more closed-form recursion relation based on fractional Brownian motion.'' A fractal scaling equation is also proposed as a substitute for the more empirical Paris equation describing individual crack growth in this approach. Preliminary calculations indicate that the new recursion relation is capable of reproducing the primary features of transverse ... continued below

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Williford, R.E. September 1, 1989.

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Transverse cracking of polymeric matrix materials is an important fatigue damage mechanism in continuous-fiber composite laminates. The propagation of an array of these cracks is a stochastic problem usually treated by Monte Carlo methods. However, this exploratory work proposes an alternative approach wherein the Monte Carlo method is replaced by a more closed-form recursion relation based on fractional Brownian motion.'' A fractal scaling equation is also proposed as a substitute for the more empirical Paris equation describing individual crack growth in this approach. Preliminary calculations indicate that the new recursion relation is capable of reproducing the primary features of transverse matrix fatigue cracking behavior. Although not yet fully tested or verified, this cursion relation may eventually be useful for real-time applications such as monitoring damage in aircraft structures.

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NTIS, PC A03/MF A01 - OSTI; GPO Dep.

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  • Other: DE89017837
  • Report No.: PNL-6903
  • Grant Number: AC06-76RL01830
  • DOI: 10.2172/5524606 | External Link
  • Office of Scientific & Technical Information Report Number: 5524606
  • Archival Resource Key: ark:/67531/metadc1092110

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  • September 1, 1989

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  • Feb. 10, 2018, 10:06 p.m.

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  • April 20, 2018, 6:04 p.m.

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Williford, R.E. Stochastic propagation of an array of parallel cracks: Exploratory work on matrix fatigue damage in composite laminates, report, September 1, 1989; Richland, Washington. (digital.library.unt.edu/ark:/67531/metadc1092110/: accessed April 26, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.