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Effect of the Spatial Inhomogeneity of Fracture Strength on Fracture Pattern for Quasi-Brittle Materials

[+] Author Affiliations
Philip L. Clarke, Reza Abedi

University of Tennessee Space Institute, Tullahoma, TN

Bahador Bahmani

Sharif University of Technology, Tehran, Iran

Katherine A. Acton, Sarah C. Baxter

University of St. Thomas, St. Paul, MN

Paper No. IMECE2017-71515, pp. V009T12A045; 9 pages
  • ASME 2017 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids; NDE, Structural Health Monitoring and Prognosis
  • Tampa, Florida, USA, November 3–9, 2017
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5844-8
  • Copyright © 2017 by ASME


The response of quasi-brittle materials is greatly influenced by their microstructural architecture and variations. To model such statistical variability, Statistical Volume Elements (SVEs) are used to derive a scalar fracture strength for domains populated with microcracks. By employing the moving window approach the probability density function and covariance function of the scalar fracture strength field are obtained. The Karhunen-Loève method is used to generate realizations of fracture strength that are consistent with the SVE-derived statistics. The effect of homogenization scheme, through the size of SVE, on fracture pattern is studied by using an asynchronous spacetime discontinuous Galerkin (aSDG) finite element method, where cracks are exactly tracked by the method’s adaptive operations.

Copyright © 2017 by ASME



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