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Fracture criterion on the basis of uniformity of plastic work of polycrystalline ductile materials under various stress states

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Abstract

Studies on the fracture criterions of structural materials would be of great significance to the service security of engineering structures. This note proposes a novel criterion on the basis of the uniformity of plastic work under various stress states. In order to realize abundant stress states, modified Arcan fixtures were designed and integrated with a self-made in situ tensile device. Accordingly, by changing the stress ratio of tensile to shear components, true stress–strain relationships of a typical polycrystalline ductile material (Gr-4 titanium alloy) specimens on the basis of various stress states were obtained and piecewisely fitted. By, respectively, adopting linear and polynomial fitting in the elastic and plastic deformation stages, the plastic work, namely the envelope areas of true \({\sigma_{\rm t}}\)–\({\varepsilon_{\rm t}}\) curves, was quantitatively calculated. Approximate uniformity of plastic work was verified as no correlation between plastic work and stress state was observed. Moreover, the evolution behavior of microvoids inside a single grain and the equivalent average slip distance of polycrystalline ductile materials during trans-granular fracture process were also analyzed theoretically to explain the uniformity. The trans-granular slip and fracture behavior of Gr-4 titanium alloy specimen and orientations of crack propagation of extruded AZ61B magnesium alloy specimens were also examined experimentally.

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Authors and Affiliations

  1. School of Mechanical Science and Engineering, Jilin University, Changchun, 130025, China

    Zhichao Ma & Hongwei Zhao

  2. Key Laboratory of Bionic Engineering Ministry of Education, Jilin University, Changchun, 130025, China

    Luquan Ren

Authors
  1. Zhichao Ma
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  2. Hongwei Zhao
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  3. Luquan Ren
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Correspondence to Hongwei Zhao.

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Ma, Z., Zhao, H. & Ren, L. Fracture criterion on the basis of uniformity of plastic work of polycrystalline ductile materials under various stress states. Acta Mech 227, 2053–2059 (2016). https://doi.org/10.1007/s00707-016-1606-5

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  • DOI: https://doi.org/10.1007/s00707-016-1606-5

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