Skip to main content
Log in

Absolute representations of spins of principal frames in a continuum

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The present paper offers a general method to find the absolute expressions for different spins in a continuum, for which only “the principal axis expressions” were available, and in this way it makes the further applications of these spins possible.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hill, R., On constitutive inequalities for simple materials I and II,J. Mech. Phys. Solids,16 (1968), 229–242, 315–322.

    Google Scholar 

  2. Hill, R., Aspects of invariance in solid mechanics,Adv. in Applied Mech. (Ed. by Yih, C, -S.),18, Academic Press, New York (1978), 1–75.

    Google Scholar 

  3. Guo Zhong-heng and R. N. Dubey. The “principal axis method” in non-linearcontinuum mechanics,Adv. in Mech.,13 (1983) 1–17. (in Chinese)

    Google Scholar 

  4. Guo Zhong-heng and R. N. Dubey, Spins in a deforming continuum,SM Arch.,9 (1984) 53–61.

    Google Scholar 

  5. Mehrabadi, M. M. and S. Nemat-Nasser, Some basic kinematical relations for finite deformations of continua,Mech. Materials,6 (1987), 127–138.

    Google Scholar 

  6. Cheng Li and Kwang Keh-chin, On embedded material derivative and frame spin,Acta Mech. Sinica,19 (1987), 524–528. (in Chinese)

    Google Scholar 

  7. Guo Zhong-heng. Spin and rotation velocity of the stretching frame in continuum,Appl. Math,and Mech.,9 (1988). 1109–1112.

    Google Scholar 

  8. Nemat-Nasser, S., On finite deformation elasto-plasticity,Int. J. Solids Structures,18 (1982), 857–872.

    Google Scholar 

  9. Spencer. A. J. M., Theory of invariants.Continuum Physics, Vol. 1, (Ed. by A. C. Eringen), Academic Press, New York, (1975).

    Google Scholar 

  10. Guo Zhong-heng,Tensor (Theory andApplications), Science Press, Beijing (1988). (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to the Tenth Anniversary and One Hundred Numbers of AMM (I)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhong-heng, G., Hao-yun, L. Absolute representations of spins of principal frames in a continuum. Appl Math Mech 12, 41–47 (1991). https://doi.org/10.1007/BF02018065

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02018065

Key words

Navigation