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A yield criterion for anisotropic and pressure dependent solids such as oriented polymers

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Abstract

The anisotropic yield criterion first posed by Hill has been modified to account for differences in tensile and compressive yield strengths in a given direction; additionally, the influence of hydrostatic pressure on yielding is also considered. Predictions using this new criterion are compared with published experimental results involving oriented polymers and excellent agreement is found. It is suggested that this criterion is more correct on fundamental grounds than those put forth in earlier publications.

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References

  1. W. Whitney andR. D. Andrews,J. Polymer Sci. C,16 (1967) 2981.

    Google Scholar 

  2. S. Sternstein andL. Ongchin,A.C.S. Polymer Prep. 10 (1969) 1117.

    Google Scholar 

  3. P. B. Bowden andJ. A. Jukes,J. Mater. Sci. 7 (1972) 52.

    Google Scholar 

  4. J. C. Bauwens,J. Polymer Sci. A-2,8 (1970) 893.

    Google Scholar 

  5. R. S. Raghava, R. M. Caddell, andG. S. Y. Yeh,J. Mater. Sci. 8 (1973) 225.

    Google Scholar 

  6. R. S. Raghava, Ph.D. Dissertation, the University of Michigan (December 1972).

  7. R.M. Caddell, R. S. Raghava, andA. G. Atkins,Mater. Sci. and Eng. (1973).

  8. N. Brown, R. A. Duckett, andI. M. Ward,Phil. Mag. 18 (1968) 483.

    Google Scholar 

  9. J. Rider andE. Hargreaves,J. Polymer Sci. A-2,7 (1969) 829.

    Google Scholar 

  10. F. F. Rawson andJ. G. Rider,ibid,33 (1971) 87.

    Google Scholar 

  11. D. Shinozaki andG. W. Groves,J. Mater. Sci. 8 (1973) 71.

    Google Scholar 

  12. R. Hill, “Plasticity” (Clarendon Press, Oxford, 1950) pp. 317–20.

    Google Scholar 

  13. D. Lee andW. A. Backofen,Trans. Met. Soc. AIME,236 (1966) 1696.

    Google Scholar 

  14. A. N. Bramley andP. B. Mellor,Int. J. Mech. Sci. 8 (1966) 101.

    Google Scholar 

  15. Idem, ibid, Int. J. Mech. Sci. 8 (1968) 211.

    Google Scholar 

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Caddell, R.M., Raghava, R.S. & Atkins, A.G. A yield criterion for anisotropic and pressure dependent solids such as oriented polymers. J Mater Sci 8, 1641–1646 (1973). https://doi.org/10.1007/BF00754900

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  • DOI: https://doi.org/10.1007/BF00754900

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