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Effect of the quenching residual stress on ductile fracture behavior of pre-stretched aluminum alloy plates

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Abstract

The aim of this study is to investigate the effect of quenching residual stress on the ductile fracture behavior of pre-stretched 7075 aluminum alloy plate. The GTN ductile fracture model is adopted for the failure analysis and implemented in the finite element package ABAQUS. Five cases of plates with different thicknesses are selected to study the effect of the quenching residual stress. By monitoring the average stress triaxialities at the surface and the central part of the plate, a new equation describing the relationship between the equivalent strains to fracture and the average stress triaxiality is proposed. Results show that the average stress triaxiality was strongly influenced by the quenching residual stress. The thicker the plate, the higher was the value of the average stress triaxiality at the central part of the plate and, as a result, the easier the crack occurs.

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Abbreviations

B :

Void nucleation coefficient

f :

Void volume fraction

f c :

Critical void volume fraction at the onset of coalescence

f f :

Critical void volume fraction at the onset of fracture

f n :

Total void volume fraction that can be nucleated

f * (f):

Void volume fraction function

I :

Unite tensor

q 1, q 2, q 3 :

Parameters for the GTN model

S n :

Standard deviation of the distribution of the plastic strain for void nucleation

Δf :

Increment of void volume fraction

Δf growth :

Increment of void volume fraction for the growth of existing voids

Δf nucleation :

Increment of void volume new fraction for the nucleation of voids

\(\Delta\varvec{\varepsilon}^{p}\) :

Increment of plastic strain tensor

\(\Delta \bar{\varepsilon }^{p}\) :

Increment of equivalent plastic strain

\(\varepsilon_{\text{n}}\) :

Mean value of the distribution of the plastic strain for void nucleation

\(\bar{\varepsilon }\) :

Equivalent strain

\(\bar{\varepsilon }_{\text{f}}\) :

Equivalent strain to fracture

\(\left( {{\raise0.7ex\hbox{${\sigma_{h} }$} \!\mathord{\left/ {\vphantom {{\sigma_{h} } {\sigma_{eq} }}}\right.\kern-0pt} \!\lower0.7ex\hbox{${\sigma_{eq} }$}}} \right)_{av}\) :

Yield function

\(\sigma_{\text{eq}}\) :

Mises equivalent stress

\(\sigma_{\text{h}}\) :

Hypostatic stress

\(\sigma_{\text{y}}\) :

Yield stress

\({\raise0.7ex\hbox{${\sigma_{\text{h}} }$} \!\mathord{\left/ {\vphantom {{\sigma_{\text{h}} } {\sigma_{\text{eq}} }}}\right.\kern-0pt} \!\lower0.7ex\hbox{${\sigma_{\text{eq}} }$}}\) :

Stress triaxiality

\(\left( {{\raise0.7ex\hbox{${\sigma_{\text{h}} }$} \!\mathord{\left/ {\vphantom {{\sigma_{\text{h}} } {\sigma_{\text{eq}} }}}\right.\kern-0pt} \!\lower0.7ex\hbox{${\sigma_{\text{eq}} }$}}} \right)_{\text{av}}\) :

Average stress triaxiality

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Acknowledgements

The authors appreciate the financial support from the National Major Scientific and Technological Special Project (2015ZX04005-011).

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Authors and Affiliations

  1. School of Mechanical and Automotive Engineering, Hubei University of Arts and Science, Hubei, 441053, China

    Huafeng Ding

  2. The State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400030, China

    Huafeng Ding, Caichao Zhu & Chaosheng Song

  3. Department of Mechanical Engineering, University of Texas at Dallas, Richardson, TX, 75080, USA

    Dong Qian

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  1. Huafeng Ding
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  2. Caichao Zhu
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Correspondence to Caichao Zhu.

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Technical editor: Eduardo Alberto Fancello.

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Ding, H., Zhu, C., Song, C. et al. Effect of the quenching residual stress on ductile fracture behavior of pre-stretched aluminum alloy plates. J Braz. Soc. Mech. Sci. Eng. 39, 2259–2267 (2017). https://doi.org/10.1007/s40430-017-0713-0

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  • DOI: https://doi.org/10.1007/s40430-017-0713-0

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