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Stochastic elasto-plastic fracture analysis of aluminum foams

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Abstract

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.

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Shiyong Sun, Haoran Chen & Zhanjun Wu

  2. School of Mechanical Engineering, The University of Western Australia, Perth, WA, 6009, Australia

    Xiaozhi Hu

Authors
  1. Shiyong Sun
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  2. Haoran Chen
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  3. Xiaozhi Hu
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  4. Zhanjun Wu
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Corresponding author

Correspondence to Haoran Chen.

Additional information

Project supported by the National Basic Research Program of China (No.2006CB601205), the National Natural Science Foundation of China (No.10672027) and the Key Project of National Natural Science Foundation of China (No.90816025).

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Sun, S., Chen, H., Hu, X. et al. Stochastic elasto-plastic fracture analysis of aluminum foams. Acta Mech. Solida Sin. 22, 276–282 (2009). https://doi.org/10.1016/S0894-9166(09)60275-5

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  • DOI: https://doi.org/10.1016/S0894-9166(09)60275-5

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