Applied Mathematics and Mechanics

, Volume 3, Issue 1, pp 127–133 | Cite as

A conservative integral independent of the constitutive relation

  • Zhang Pei-yuan
Article
  • 12 Downloads

Abstract

J-integral defined by Rice depends on the constitutive relation of mediums. In the present paper, a conservative integral independent of the constitutive relation of mediums is defined in order to extend Rice's definition of the J-integral which depends on the constitutive relation. Its main properties which are similar to those of the prevailing J-integral are proved. In the case of the elastic mediums, the extensive conservative integral is the same with Rice's J-integral.

Keywords

Mathematical Modeling Industrial Mathematic Constitutive Relation Main Property Elastic Medium 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Rice, J. R., J. Appl. Mech., Trans. ASME, 35, (1968), 379.Google Scholar
  2. 2.
    Sumpter, J. G. and Turner, C.E., Intern. J. Fract., 9, (1973), 320.Google Scholar
  3. 3.
    Ou Yang-chang, Solving the nonlinear problems on fracture mechanics by means of method of increment, The Proceedings of the 2nd Conference on Fracture Mechanics, Beijing, (1977), 297. (in Chinese)Google Scholar
  4. 4.
    Wang Zhi-jiang, The I-integral and Criterion of Plastic Fractrue. (ditto), 363.Google Scholar
  5. 5.
    Качанов, Л. М. Основа Теории П←⇀⇒тирносги, (1959), 61. (in Chinese)Google Scholar
  6. 6.
    Gao Yu-chen, Acta Mechanics Sinica, (1980), 48.Google Scholar
  7. 7.
    Rice, J. R. and Liebowitz, H. (ed.), Fracture, II, (1973), 210.Google Scholar

Copyright information

© Techmodern Business Promotion 1982

Authors and Affiliations

  • Zhang Pei-yuan
    • 1
  1. 1.Chongquing UniversityChongqingChina

Personalised recommendations