Skip to main content
Log in

Inverse asymptotic solution method for finite deformation elasto-plasticity

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

Abstract

The development of modern mechanics in recent years has made many important progresses in the concepts and methods for nonlinear large deformation mechanics ([1], [2], [3]etc.). The present paper is aimed to show how the natural co-moving system method and Stokes-Chen's decomposition theorem can be effectively applied asymptotically to solving problems of finite deformation elasto-plasticity by inverse asymptotic method for engineering design purpose. Rigid punch problem is examplified in the paper.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Z. D. Chen, Rational Mechanics, China University of Mining Press, Xuzhou, China (1989). (in Chinese)

    Google Scholar 

  2. Z. D. Chen, Large Deformation Theory of Rod, Plate and Shell, Science Press, Beijing, China (1994). (in Chinese)

    Google Scholar 

  3. P. Li and Z. D. Chen, The updated co-moving coordinate formulation of continuum mechanics based on the S-R decomposition theorem, Computer Mechod in Applied Mechanics and Engineering, 114 (1994), 21–34.

    Google Scholar 

  4. B. M. Cegal, et al., Research on Plastic Deformation of Metal by Móire Method. Metallugical Publisher, Moscow (1974), 154.

    Google Scholar 

  5. M. M. Frocht, Photoelasticity, Vol. II, John Wily & Sons (1948), 76

  6. Z. D. Chen and X. C. Liu, Nonlinear geometric field theory and viscoplasticity of large deformation, MD. Vol. 69-1, Proceedings of the ASME Materials Division, Editors: N. R. Scottos etc. (1995), 429–440.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhida, C. Inverse asymptotic solution method for finite deformation elasto-plasticity. Appl Math Mech 18, 1029–1036 (1997). https://doi.org/10.1007/BF00132796

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00132796

Key words

Navigation