Applied Mathematics and Mechanics

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

A conservative integral independent of the constitutive relation

  • Zhang Pei-yuan


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.


Mathematical Modeling Industrial Mathematic Constitutive Relation Main Property Elastic Medium 
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Copyright information

© Techmodern Business Promotion 1982

Authors and Affiliations

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

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