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Effect of Specimen Geometry on Stress Intensity Factors of Inclined Crack by Finite Element Method

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Abstract

A rectangular plate with inclined cracks of different crack lengths at different crack inclination angles under biaxial loading condition are being analyzed in mixed mode condition using finite element method (FEM) for the determination of stress intensity factors (SIFs). With increases of the width of the plate and the crack length ratio, SIF increases up to 45° of crack inclination angle and then decreases; maximum value is obtained at 45° of crack inclination angle. With the increasing value of size factor, the value of SIF starts decreasing. The accuracy of the results of the proposed method is validated by comparing with the previously obtained results by theoretical and experimental methods. The FEM results give significant result for the two-dimensional mixed mode loading conditions.

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References

  1. Sih, G.C., Paris, P.C., Erdogan, F.: Crack tip stress intensity factors for plane extension and plate bending problems. ASME J Appl. Mech. 29, 306–314 (1962)

    Article  Google Scholar 

  2. Griffith, A.A.: The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. Lond. A221, 163–197 (1920)

    Google Scholar 

  3. Westgaard, H.M.: Bearing pressures and crack. J. Appl. Math. Mech. 6, A49–A53 (1939)

    Google Scholar 

  4. Irwin, G.R.: Analysis of stress strains near the end of a crack traversing plate. Trans. ASME J. Appl. Mech. 24(3), 361–364 (1957)

    Google Scholar 

  5. Hafele, P.M., Lee, J.D.: Combination of finite element analysis and analytical crack tip solution for mixed mode fracture. Eng. Fract. Mech. 50(5–6), 849–868 (1995)

    Article  Google Scholar 

  6. Mohanty, D.K., Maiti, S.K.: Experimental and finite element studies on mode I and mixed mode (I and II) stable crack growth-I, experimental. Eng. Fract. Mech. 37(6), 1237–1250 (1990)

    Article  Google Scholar 

  7. Nhu, N.H., Giang, N.T.: Calculation of fracture mechanic parameter via FEM for some cracked plate under different loads. Vietnam J. Mech. 28(2), 83–93 (2006)

    Google Scholar 

  8. Singh, V.K., Gope, P.C.: Photoelastic determination of mixed mode stress intensity factor. J. Solid Mech. 3, 233–244 (2009)

    Google Scholar 

  9. Paris, P.C., Sih, G.C.: Stress analysis of cracks. In: Fracture Toughness and Testing and its Applications, vol. 381, American Society for Testing and Materials, Philadelphia, pp. 30–83 (1965)

  10. Liebowitz, H., Lee, J.D., Eftis, J.: Biaxial load effects in fracture mechanics. Eng. Frac. Mech. 10, 315–335 (1978)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, College of Technology, G.B. Pant University of Agriculture and Technology, Pantnagar, 263145, Uttarakhand, India

    Rahul Kumar Bhagat & V. K. Singh

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  1. Rahul Kumar Bhagat
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  2. V. K. Singh
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Correspondence to V. K. Singh.

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Bhagat, R.K., Singh, V.K. Effect of Specimen Geometry on Stress Intensity Factors of Inclined Crack by Finite Element Method. J Fail. Anal. and Preven. 13, 463–469 (2013). https://doi.org/10.1007/s11668-013-9697-y

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  • DOI: https://doi.org/10.1007/s11668-013-9697-y

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