Strength distribution and size effects for the fracture of fibrous composite materials

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Random network models have recently been developed in the physics literature to explain the strength and size effect in heterogeneous materials. Applications have included the breakdown and brittle fracture. Unfortunately, conventional scaling approaches of statistical mechanics have yielded incorrect predictions, and new approaches have been proposed which build on field enhancement occurring near the tips of critical, random clusters together with the statistical theory of extremes. New distributions and size scalings for strength have been proposed and supported through Monte Carlo simulation. Here we consider an idealized, one-dimensional model for the failure of such networks where elements of constant strength ... continued below

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14 p.

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Phoenix, S.L. & Beyerlein, I.J. October 1, 1997.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this article can be viewed below.

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  • Phoenix, S.L. Cornell Univ., Ithaca, NY (United States). Dept. of Theoretical and Applied Mechanics
  • Beyerlein, I.J. Los Alamos National Lab., NM (United States)

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Description

Random network models have recently been developed in the physics literature to explain the strength and size effect in heterogeneous materials. Applications have included the breakdown and brittle fracture. Unfortunately, conventional scaling approaches of statistical mechanics have yielded incorrect predictions, and new approaches have been proposed which build on field enhancement occurring near the tips of critical, random clusters together with the statistical theory of extremes. New distributions and size scalings for strength have been proposed and supported through Monte Carlo simulation. Here we consider an idealized, one-dimensional model for the failure of such networks where elements of constant strength may be initially present or absent at random. Our idealized rule for local stress redistribution near breaks reflects features we find in a discrete mechanics model that has limiting forms consistent with continuum theories for cracks. We obtain rigorous asymptotic results for the strength distribution and size effect with constants and exponents that are known. The validity of various analytical approximations in the literature is then discussed.

Physical Description

14 p.

Notes

OSTI as DE98000345

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  • International mechanical engineering congress and exposition, Dallas, TX (United States), 16-21 Nov 1997

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  • Other: DE98000345
  • Report No.: LA-UR--97-3496
  • Report No.: CONF-971115--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 538060
  • Archival Resource Key: ark:/67531/metadc690070

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  • October 1, 1997

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 26, 2016, 6:24 p.m.

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Phoenix, S.L. & Beyerlein, I.J. Strength distribution and size effects for the fracture of fibrous composite materials, article, October 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc690070/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.