Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅺ)——Consistency Problems

DAI Tian-min

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DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅺ)——Consistency Problems[J]. Applied Mathematics and Mechanics, 2007, 28(2): 147-155.

Citation:

DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅺ)——Consistency Problems[J]. Applied Mathematics and Mechanics, 2007, 28(2): 147-155.

Citation:

DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅺ)——Consistency Problems[J]. Applied Mathematics and Mechanics, 2007, 28(2): 147-155.

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Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅺ)——Consistency Problems

DAI Tian-min

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

Received Date: 2006-01-14
Rev Recd Date: 2006-11-04
Publish Date: 2007-02-15

Abstract

Abstract

Some consistency problems existing in continuum field theories are briefly reviewed.Three arts of consistency problems are clarified based on the renewed basic laws for polar continua.The first art discussed the consistency problems between the basic laws for polar continua.The second art discussed the consistency problems between the basic laws for polar continua and for other nonpolar continua.The third art discussed the consistency problems between the basic laws for micropolar continuum theories and the dynamical equations for rigid body.The results presented here can helpus get a deeper understanding of the structure of the basic laws for various continuum theories and the interrelations between them.In the meantime,these results obtained also show clearly that the consistency problems could not be solved in the framework of traditional basic laws for continuum field theories.
- micropolar continua,
- nonpolar continua,
- rigid body,
- basic laws,
- consistency problems

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References(28)

References

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