A conservative integral independent of the constitutive relation
- 12 Downloads
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.
KeywordsMathematical Modeling Industrial Mathematic Constitutive Relation Main Property Elastic Medium
Unable to display preview. Download preview PDF.
- 1.Rice, J. R., J. Appl. Mech., Trans. ASME, 35, (1968), 379.Google Scholar
- 2.Sumpter, J. G. and Turner, C.E., Intern. J. Fract., 9, (1973), 320.Google Scholar
- 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.Wang Zhi-jiang, The I-integral and Criterion of Plastic Fractrue. (ditto), 363.Google Scholar
- 5.Качанов, Л. М. Основа Теории П←⇀⇒тирносги, (1959), 61. (in Chinese)Google Scholar
- 6.Gao Yu-chen, Acta Mechanics Sinica, (1980), 48.Google Scholar
- 7.Rice, J. R. and Liebowitz, H. (ed.), Fracture, II, (1973), 210.Google Scholar