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Using the Upper Bound Technique for Calculating the Strain Rate Intensity Factor

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Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics (ICTAEM 2018)

Part of the book series: Structural Integrity ((STIN,volume 5))

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Abstract

The strain rate intensity factor is the coefficient of the leading singular term in a series expansion of the equivalent strain rate in the vicinity of maximum friction surfaces. This factor can be used to describe the generation of fine grain layers in the vicinity of friction surfaces in metal forming processes. However, a difficulty is that the strain rate intensity factor follows from singular solutions and commercial finite element packages are not capable of finding this factor. In the present paper, the upper bound technique is used for this purpose. The kinematically admissible velocity field chosen accounts for the exact asymptotic expansion of the equivalent strain rate. Therefore, an approximate value of the strain rate intensity factor can be found from this field.

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References

  1. Alexandrov, S., Richmond, O.: Singular plastic flow fields near surfaces of maximum friction stress. Int. J. Non-Linear Mech. 36(1), 1–11 (2001)

    Article  MathSciNet  Google Scholar 

  2. Alexandrov, S., Jeng, Y.-R.: Singular rigid/plastic solutions in anisotropic plasticity under plane strain conditions. Cont. Mech. Therm. 25(5), 685–689 (2013)

    Article  MathSciNet  Google Scholar 

  3. Alexandrov, S., Mustafa, Y.: Singular solutions in viscoplasticity under plane strain conditions. Meccanica 48(9), 2203–2208 (2013)

    Article  MathSciNet  Google Scholar 

  4. Goldstein, R., Alexandrov, S.: An approach to prediction of microstructure formation near friction surfaces at large plastic strains. Phys. Mesomech. 18(3), 223–227 (2015)

    Article  Google Scholar 

  5. Facchinetti, M., Miszuris, W.: Analysis of the maximum friction condition for green body forming in an ANSYS environment. J. Eur. Ceram. Soc. 36, 2295–2302 (2016)

    Article  Google Scholar 

  6. Alexandrov, S., Kuo, C.-Y., Jeng, Y.-R.: A numerical method for determining the strain rate intensity factor under plane strain conditions. Cont. Mech. Therm. 28(4), 977–992 (2016)

    Article  MathSciNet  Google Scholar 

  7. Alexandrov, S., Lyamina, E., Jeng, J.-R.: A general kinematically admissible velocity field for axisymmetric forging and its application to hollow disk forging. Int. J. Adv. Manuf. Technol. 88, 3113–3122 (2017)

    Article  Google Scholar 

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Acknowledgment

This work was carried out within the framework of a joint project supported by grants RFBR-18-51-76001 (Russia), 359 (Ministry of education, science and technological development, Serbia) and 18.80013.16.02.01/ERA.Net (Moldova).

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Correspondence to Sergei Alexandrov .

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Alexandrov, S., Vilotic, D., Grabco, D. (2019). Using the Upper Bound Technique for Calculating the Strain Rate Intensity Factor. In: Gdoutos, E. (eds) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2018. Structural Integrity, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-91989-8_15

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  • DOI: https://doi.org/10.1007/978-3-319-91989-8_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91988-1

  • Online ISBN: 978-3-319-91989-8

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