Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (2): 127-134.

• Articles •     Next Articles

NEW CONSERVATION LAWS OF ENERGY AND C-D INEQUALITIES IN CONTINUA WITHOUT MICROSTRUCTURE

DAI Tian-min   

  1. Center for the Application of Mathematics and Department of Mathematics, Liaoning University, Shenyang 110036, P. R. China
  • Received:2000-01-03 Revised:2000-09-20 Online:2001-02-18 Published:2001-02-18
  • Supported by:
    the National Natural Science Foundation of China(19672023);the Fundamental Research(Class A)of the Education Committee of Liaoning Province

Abstract: Fundamental laws and balance equations as well as C-D inequalities in continuum mechanics are carefully restudied, incompleteness of existing balance laws of angular momentum and conservation laws of energy as well as C-D inequalities are pointed out, and finally new and more general conservation laws of energy and corresponding balance equations of energy as well as C-D inequalities in local and nonlocal asymmetric continua are presented.

Key words: local asymmetric, nonlocal asymmetric, continuum mechanics, conservation laws of energy, balance equations of energy, C-D inequalities

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