Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅲ)-Noether’s Theorem

DAI Tian-min

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DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅲ)-Noether’s Theorem[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1005-1011.

Citation:

DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅲ)-Noether’s Theorem[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1005-1011.

Citation:

DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅲ)-Noether’s Theorem[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1005-1011.

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Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅲ)-Noether’s Theorem

DAI Tian-min

Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P.R.China

Received Date: 2002-05-19
Rev Recd Date: 2003-05-09
Publish Date: 2003-10-15

Abstract

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.
- Noether’s theorem,
- couple stress elastodynamics,
- couple stress elastostatics,
- conservation law

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References(19)

References

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