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Mixed-mode fracture of ductile thin-sheet materials under combined in-plane and out-of-plane loading

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Abstract

Cracks in thin structures often are subjected to combined in-plane and out-of-plane loading conditions leading to complex mixed mode conditions in the crack tip region. When applied to ductile materials, large out-of-plane displacements make both experimentation and modeling difficult. In this work, the mixed-mode behavior of thin, ductile materials containing cracks undergoing combined in-plane tension (mode I) and out-of-plane shear (mode III) deformation is investigated experimentally. Mixed-mode fracture experiments are performed and full, three-dimensional (3D) surface deformations of thin-sheet specimens from aluminum alloy and steel are acquired using 3D digital image correlation. General characteristics of the fracture process are described and quantitative results are presented, including (a) the fracture surface, (b) crack path, (c) load-displacement response, (d) 3D full-field surface displacement and strain fields prior to crack growth, (e) radial and angular distributions of the crack-tip strain fields prior to crack growth and (f) singularity analysis of the crack-tip strains prior to crack growth. Results indicate that the introduction of a mode III component to the loading process (a) alters the crack tip fields relative to those measured during nominally mode I loading and (b) significantly increases the initial and stable critical crack-opening-displacement. The data on strain fields in both AL6061-T6 aluminum and GM6208 steel consistently show that for a given strain component, the normalized angular and radial strains at all load levels can be reasonably represented by a single functional form over the range of loading considered, confirming that the strain fields in highly ductile, thin-sheet material undergoing combined in-plane tension and out-of-plane shear loading can be expressed in terms of separable angular and radial functions. For both materials, the displacement and strain fields are (a) similar for both mixed-mode loading angles Φ = 30° and Φ = 60° and (b) different from the fields measured for Mode I loading angle Φ = 0°. Relative to the radial distribution, results indicate that the in-plane strain components do not uniformly exhibit the singularity trends implicit in the HRR theory.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of South Carolina, Columbia, SC, 29208, USA

    J. -H. Yan, M. A. Sutton & X. Deng

  2. GM R&D and Planning, Vehicle Development Research Lab, Warren, MI, 48090, USA

    C. -S. Cheng

Authors
  1. J. -H. Yan
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  2. M. A. Sutton
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  3. X. Deng
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  4. C. -S. Cheng
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Correspondence to M. A. Sutton.

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Yan, J.H., Sutton, M.A., Deng, X. et al. Mixed-mode fracture of ductile thin-sheet materials under combined in-plane and out-of-plane loading. Int J Fract 144, 297–321 (2007). https://doi.org/10.1007/s10704-007-9101-6

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  • DOI: https://doi.org/10.1007/s10704-007-9101-6

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