Lie symmetry and Mei conservation law of continuum system

doi:10.1088/1674-1056/20/2/021101

Abstract Lie symmetry and Mei conservation law of continuum Lagrange system are studied in this paper. The equation of motion of continuum system is established by using variational principle of continuous coordinates. The invariance of the equation of motion under an infinitesimal transformation group is determined to be Lie-symmetric. The condition of obtaining Mei conservation theorem from Lie symmetry is also presented. An example is discussed for applications of the results.

Keywords: continuum mechanics Lie symmetry Mei symmetry conservation law

Received: 17 July 2010
Revised: 02 September 2010
Accepted manuscript online:

PACS:	11.30.-j	(Symmetry and conservation laws)
	83.10.Ff	(Continuum mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337).

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Shi Shen-Yang(施沈阳) and Fu Jing-Li(傅景礼) Lie symmetry and Mei conservation law of continuum system 2011 Chin. Phys. B 20 021101

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