SpringerLink
Log in

A discussion on “representing general solution of equations in theory of elasticity by harmonic functions”

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

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Nie Yi-yong, Representing general solution of equations in theory of elasticity by Harmonic functions,Appl. Math. and Mech.,7, 2 (1986), 171–176

    Article  Google Scholar 

  2. Eubanks, R.A. and E. Sternberg, On the completeness of the Boussinesq-Papkovich stress functions,Pat. Mech. and Analysis,5 (1956), 735–746.

    MATH  MathSciNet  Google Scholar 

  3. Timoshenko, S. and J.N. Coodier,Theory of Elasticity (sec. ed.), 235, McGraw-Hill Book Company, Inc., New York (1951).

    MATH  Google Scholar 

  4. R.D. Mindlin, Note on the Galerkin and Papkovich stress functions.Bull. Amer. Math. Soc.,42 (1936), 373–376.

    Article  MATH  MathSciNet  Google Scholar 

  5. Benthem, J.P., Note on the Boussinesq-Papkovich Stress-functions,J. Elas.,9 (1979), 201–206.

    Article  MATH  MathSciNet  Google Scholar 

  6. Cong, T.T. and G.P. Steven, On the representation of elastic displacement fields in terms of three harmonic functions,J. Elas.,9 (1979), 325–333.

    Article  MATH  Google Scholar 

  7. Eubanks, R.A. and E. Sternberg, On the completeness of the Boussinesq-Papkovich stress functions,J. Rat. Mech. Anal.,5 (1956), 735–746.

    MATH  MathSciNet  Google Scholar 

  8. Naghdi, P.M. and C.S. Hsu, On a representation of displacements in linear elasticity in terms of three stress functions,J. Math. Mech.,10 (1961), 233–245.

    MATH  MathSciNet  Google Scholar 

  9. Nie Yi-yong, Representing general solution of equations in theory of elasticity by harmonic functions, Appl.Math. and Mech.,7, 2 (1986), 171–176.

    Article  Google Scholar 

  10. Stippes, M., Completeness of the Papkovich Potentials,Quart. App. Math.,26 (1969), 477–483.

    MATH  MathSciNet  Google Scholar 

  11. Zhou Qing and Wang Min-zhong, On “Representing general solution of equations in theory of elasticity by harmonic functions”,Appl. Math, and Mech.,8, 11 (1987).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Peking University, Bei**g

    Zhou Qing & Wang Min-zhong

  2. Shenyang Institute of Computing Technology, Academia Sinica, Shenyang

    Nie Yi-yong

Authors
  1. Zhou Qing
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wang Min-zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nie Yi-yong
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Chien Wei-zang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qing, Z., Min-zhong, W. & Yi-yong, N. A discussion on “representing general solution of equations in theory of elasticity by harmonic functions”. Appl Math Mech 8, 1099–1102 (1987). https://doi.org/10.1007/BF02482695

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02482695

Keywords

Search

Navigation