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Numerical Investigations on the Three-Dimensional I/II Mixed-Mode Elasto-Plastic Fracture for Through-Thickness Cracked Bodies

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Abstract

Based on three-dimensional (3-d) I/II mixed-mode fracture experiments on an LC4CS aluminium alloy, 3-d I/II mixed-mode elasto-plastic finite element models were established using the commercial software package ANSYS. The coupled effects of the varied degrees of mode-mixing Φ and thickness B on the stress field around the crack tip were analysed, and then the coupled effects of mode-mixing Φ, thickness B, and relative length a/W on the load-crack opening displacement curve were investigated. The results showed that the angle of the maximum tangential stress and the minimum out-of-plane stress constraint factor (Tz) appeared at the same angle with each increment of Φ, and the effects of thickness became weaker with changes to the direction angle of σθθmax and Tzmin with each increment of thickness. The load-crack opening displacement curve was affected by loading angle, relative length a/W, and thickness: the thickness effect was stronger when mode I loading predominated. The load-crack growth length curve can be plotted with reference to the experimental load-crack opening displacement curve, which can be used to predict initiation load in static fracture experiments.

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References

  1. Newman Jr., J.C., Bigelow, C.A.: Three-dimensional elastic-plastic finite-element analyses of constraint variations in cracked bodies. Eng. Fract. 46(1), 1–13 (1993)

    Article  Google Scholar 

  2. Guo, W., Wang, C.H., Rose, L.R.F.: The influence of cross-sectional thickness on fatigue crack growth. Fatigue Fract. Eng. Mater. Struct. 22(5), 437–444 (1999)

    Article  Google Scholar 

  3. She, C., Guo, W.: The out-of-plane constraint of mixed-mode cracks in thin elastic plates. Int. J. Solids Struct. 44(9), 3021–3034 (2007)

    Article  Google Scholar 

  4. Guo, W.: Three-dimensional analysis of plastic constraint for through-thickness cracked bodies. Eng. Fract. Mech. 62, 383–407 (1999)

    Article  Google Scholar 

  5. O’Dowd, N.P., Shih, C.F.: Family of crack-tip fields characterized by a triaxiality parameter: part I—structure offields. J. Mech. Phys. Solids 39, 989–1015 (1991)

    Article  Google Scholar 

  6. O’Dowd, N.P., Shih, C.F.: Family of crack-tip fields characterized by a triaxiality parameter: part II—fracture application. J. Mech. Phys. Solids 40, 939–963 (1992)

    Article  Google Scholar 

  7. Li, Y.C., Wang, T.C.: Sci. Sin. (Series A) 29, 941–955 (1986)

    Google Scholar 

  8. Sharma, S.M., Aravas, N.: Determination of higher-order terms in asymptotic elastoplastic crack tip solutions. J. Mech. Phys. Solids 39, 1043–1072 (1991)

    Article  Google Scholar 

  9. Xia, L., Wang, T.C., Shih, C.F.: Higher-order analysis of crack tip fields in elastic power-law hardening materials. J. Mech. Phys. Solids 41, 665–687 (1993)

    Article  Google Scholar 

  10. Yang, S., Chao, Y.J., Sutton, M.A.: Higher-order asymptotic crack tip fields in a power-law hardening material. Eng. Fract. Mech. 45, 1–20 (1993)

    Article  Google Scholar 

  11. Dodds, R.H., Shih, C.F., Anderson, T.L.: Continuum and micromechanics treatment of constraint in fracture. Int. J. Fract. 64, 101–133 (1993)

    Google Scholar 

  12. Guo, W.: Elastoplastic three-dimensional crack border field: part I—singular structure of the field. Eng. Fract. Mech. 46, 93–104 (1993)

    Article  Google Scholar 

  13. Guo, W.: Elastoplastic three-dimensional crack border field: part II—asymptotic solution for the field. Eng. Fract. Mech. 46, 105–113 (1993)

    Article  Google Scholar 

  14. Guo, W.: Elastoplastic three-dimensional crack border field: part III—fracture application. Eng. Fract. Mech. 51, 51–71 (1995)

    Article  MathSciNet  Google Scholar 

  15. Guo, W.: Recent advances in three-dimensional fracture mechanics. Key Eng. Mater. 183–1, 193–198 (2000)

    Article  Google Scholar 

  16. Dalle Donne, C., Pirondi, A.: J-integral evaluation of single edge notched specimens under mixed mode I/II loading. J. Test. Eval. 29(3), 239–245 (2001)

    Article  Google Scholar 

  17. Xiang, M., Yu, Z., Guo, W.: Characterization of three-dimensional crack border fields in creeping solids. Int. J. Solids Struct. 48(19), 2695–2705 (2011)

    Article  Google Scholar 

  18. Xiang, M., Guo, W.: Formulation of the stress fields in power law solids ahead of three-dimensional tensile cracks. Int. J. Solids Struct. 50, 3067–3088 (2013)

    Article  Google Scholar 

  19. Guo, W., Dong, H., Yang, Z.: Experimental investigation of thickness effects on mixed-mode I/II fracture of an aluminum alloy. arXiv preprint (2008). arXiv:0807.1577

  20. Zhang, S., Guo, W., Li, H., Deng, Y.: Experimental investigation of three-dimensional mixed-mode fracture of a titanium alloy at room and elevated temperatures. Sci. China-Technol. Sci. 54, 2760–2767 (2011)

    Article  Google Scholar 

  21. Dong, H.: Experimental study on three-dimensional mixed-mode fracture. Xi’an, Xi’an Jiaotong University (in Chinese) (1992)

    Google Scholar 

  22. Wang, F., She, C., Guo, W.: Numerical analysis of three-dimensional I/II mixed-mode elastic-plastic fracture of aeronautical structural aluminum alloy. Chin. J. Comput. Mech. 28(2), 255–259 (2011)

    Google Scholar 

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Correspondence to Ming-bo Tong .

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Wang, Fl., Tong, Mb., Bai, Sw., Jiang, N., She, Cm., Fan, Jl. (2020). Numerical Investigations on the Three-Dimensional I/II Mixed-Mode Elasto-Plastic Fracture for Through-Thickness Cracked Bodies. In: Niepokolczycki, A., Komorowski, J. (eds) ICAF 2019 – Structural Integrity in the Age of Additive Manufacturing. ICAF 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-21503-3_38

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  • DOI: https://doi.org/10.1007/978-3-030-21503-3_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21502-6

  • Online ISBN: 978-3-030-21503-3

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