4.7 Article

Effective toughness of heterogeneous media

Journal

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 71, Issue -, Pages 15-32

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2014.06.002

Keywords

Effective toughness; Brittle fracture; Heterogeneous media; Toughness asymmetry; Computational fracture mechanics

Funding

  1. U.S. National Science Foundation [CMMI-1201102]
  2. National Science Foundation [DMS-0909267, OCI-1053575, TG- DMS060014]
  3. DURIP grant from the US Army Research Office
  4. Directorate For Engineering
  5. Div Of Civil, Mechanical, & Manufact Inn [1201102] Funding Source: National Science Foundation

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We propose a versatile approach to computing the effective toughness of heterogeneous media. This approach focusses on the material property independent of the details of the boundary condition. The key idea is what we call a surfing boundary condition, where a steadily propagating crack opening displacement is applied as a boundary condition to a large domain while the crack set is allowed to evolve as it chooses. The approach is verified and used to study examples in brittle fracture. We demonstrate that effective toughness is different from effective or weighted surface area of the crack set. Furthermore, we demonstrate that elastic heterogeneity can have a profound effect on fracture toughness: it can be a significant toughening mechanism and it can lead to toughness asymmetry wherein the toughness depends not only on the direction but also on the sense of propagation. The role of length-scale is also discussed. (C) 2014 Elsevier Ltd. All rights reserved.

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