Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (10): 1134-1140.

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RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅲ) —NOETHER’S THEOREM

DAI Tian-min   

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P. R. China
  • Received:2002-05-19 Revised:2003-05-09 Online:2003-10-18 Published:2003-10-18
  • Supported by:
    the National Natural Science Foundation of China (10072024); the Research Foundation of Liaoning Education Committee (990111001)

Abstract: The existing various couple stress theories have been carefully restudied.The purpose is to propose a coupled Noether’s theorem and to reestablish rather complete conservation laws and balance equations for couple stress elastodynamics. The new concrete forms of various conservation laws of couple stress elasticity are derived. The precise nature of these conservation laws which result from the given invariance requirements are established. Various special cases are reduced and the results of micropolar continua may be naturally transited from the results presented in this paper.

2010 MSC Number: 

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