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Dynamic Fracture Analysis of Semi-circular Bending (SCB) Specimen by the Optical Method of Caustics

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Dynamic Behavior of Materials, Volume 1

Abstract

Semi-Circular Bending (SCB) specimens are widely used in fracture analysis of geo materials due to their simple geometry and loading condition, and also the ability of introducing complete combinations of mode I and mode II fracture. Here SCB specimens of Poly (methyl methacrylate) (PMMA) with different pre-crack angles and positions were employed. An optical method of caustics was applied to calculate the crack initiation, crack propagation, stress intensity factor and fracture toughness, etc. Considering the dynamic crack propagation, the initial curve and caustic pattern in mixed mode fracture were deduced. Then the dynamic fracture parameters could be determined by measuring the caustic patterns obtained by a high speed camera and the specimen geometry. Moreover, we also compared the fracture mode of different pre-crack angles and positions. Finally, the interaction between cracks was also investigated by using this optical method. Results showed that the fracture mode of SCB specimen can be adjusted by pre-crack position and angle.

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References

  1. Ayatollahi MR, Aliha MRM (2007) Fracture toughness study for a brittle rock subjected to mixed mode I/II loading. Int J Rock Mech Min Sci 44(4):617–624

    Article  Google Scholar 

  2. Khan K, Al-Shayea NA (2000) Effect of specimen geometry and testing method on mixed mode I–II fracture toughness of a limestone rock from Saudi Arabia. Rock Mech Rock Eng 33(3):179–206, 2000/07/01

    Article  Google Scholar 

  3. Adamson RM, Dempsey JP, Mulmule SV (1996) Fracture analysis of semi-circular and semi-circular-bend geometries. Int J Fract 77(3):213–222

    Article  Google Scholar 

  4. Dai F, Chen R, Xia K (2010) A semi-circular bend technique for determining dynamic fracture toughness. Exp Mech 50(6):783–791, 2010/07/01

    Article  Google Scholar 

  5. Dai F, Xia K (2009) Determination of dynamic fracture parameters using a semi-circular bend technique in split Hopkinson pressure bar testing. In: Proceedings of the SEM annual conference, Albuquerque

    Google Scholar 

  6. Lim IL, Johnston IW, Choi SK, Boland JN (1994) Fracture testing of a soft rock with semicircular specimens under 3-point bending. 2. Mixed-mode. Int J Rock Mech Min 31(3):199–212

    Article  Google Scholar 

  7. Ayatollahi MR, Aliha MRM, Hassani MM (2006) Mixed mode brittle fracture in PMMA – An experimental study using SCB specimens. Mat Sci Eng A-Struct 417(1–2):348–356

    Article  Google Scholar 

  8. Papadopoulos GA (2011) New formula of experimental stress intensity factor evaluation by caustics. Int J Fract 171(1):79–84

    Article  Google Scholar 

  9. Gao GY, Li Z, Xu J (2011) Optical method of caustics applied in viscoelastic fracture analysis. Opt Lasers Eng 49(5):632–639

    Article  Google Scholar 

  10. Pazis DN, Agioutantis Z, Kourkoulis SK (2011) The optical method of reflected caustics applied for a plate with a central hole: critical points and limitations. Strain 47(6):489–498

    Article  Google Scholar 

  11. Yao XF, Xu W, Arakawa K, Takahashi K, Mada T (2005) Dynamic optical visualization on the interaction between propagating crack and stationary crack. Opt Lasers Eng 43:195–207

    Article  Google Scholar 

  12. Gong K, Li Z (2008) Caustics method in dynamic fracture problem of orthotropic materials. Opt Lasers Eng 46:614–619

    Article  Google Scholar 

  13. Nishioka T, Atluri SN (1983) Path-independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics. Eng Fract Mech 18(1):1–22

    Article  Google Scholar 

  14. Rosakis AJ (1980) Analysis of the optical method of caustics for dynamic crack propagation. Eng Fract Mech 13(2):331–347

    Article  Google Scholar 

  15. Cheng L (1989) Determination of the dynamic stress intensity factors K. Acta Mechanica Sinica 5(3):244–252

    Article  Google Scholar 

  16. Nishioka T, Kittaka H (1990) A theory of caustics for mixed-mode fast running cracks. Eng Fract Mech 36(6):987–998

    Article  Google Scholar 

  17. Ayatollahi MR, Aliha MRM (2006) On determination of mode II fracture toughness using semi-circular bend specimen. Int J Solid Struct 43(17):5217–5227

    Article  MATH  Google Scholar 

Download references

Acknowledgments

This research work was supported by National Basic Research Program of China (973 Program) under Grant No. 2010CB731503.

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Correspondence to Zheng Li .

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Gao, G., Zhou, J., Li, Z. (2014). Dynamic Fracture Analysis of Semi-circular Bending (SCB) Specimen by the Optical Method of Caustics. In: Song, B., Casem, D., Kimberley, J. (eds) Dynamic Behavior of Materials, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-00771-7_20

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  • DOI: https://doi.org/10.1007/978-3-319-00771-7_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-00770-0

  • Online ISBN: 978-3-319-00771-7

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