Acta Mechanica Solida Sinica

, Volume 22, Issue 3, pp 276–282 | Cite as

Stochastic elasto-plastic fracture analysis of aluminum foams

  • Shiyong Sun
  • Haoran Chen
  • Xiaozhi Hu
  • Zhanjun Wu


Model I quasi-static nonlinear fracture of aluminum foams is analyzed by considering the effect of microscopic heterogeneity. Firstly, a continuum constitutive model is adopted to account for the plastic compressibility of the metallic foams. The yield strain modeled by a two-parameter Weibull-type function is adopted in the constitutive model. Then, a modified cohesive zone model is established to characterize the fracture behavior of aluminum foams with a cohesive zone ahead of the initial crack. The tensile traction versus local crack opening displacement relation is employed to describe the softening characteristics of the material. And a Weibull statistical model for peak bridging stress within the fracture process zone is used for considering microscopic heterogeneity of aluminum foams. Lastly, the influence of stochastic parameters on the curve of stress-strain is given. Numerical examples are given to illustrate the numerical model presented in this paper and the effects of Weibull parameters and material properties on J-integral are discussed.

Key words

aluminum foams cohesive zone model continuum constitutive model fracture Weibull distributions J-integral 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

Authors and Affiliations

  • Shiyong Sun
    • 1
  • Haoran Chen
    • 1
  • Xiaozhi Hu
    • 2
  • Zhanjun Wu
    • 1
  1. 1.State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalianChina
  2. 2.School of Mechanical EngineeringThe University of Western AustraliaPerthAustralia

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