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Renewal of basic laws and principles for polar continuum theories (X) — master balance law

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Abstract

Through a comparison between the expressions of master balance laws and the conservation laws derived by Noether’s theorem, a unified master balance law and six physically possible balance equations for micropolar continuum mechanics are naturally deduced. Among them, by extending the well-known conventional concept of energy-momentum tensor, the rather general conservation laws and balance equations named after energy-momentum, energy-angular momentum and energy-energy are obtained. It is clear that the forms of the physical field quantities in the master balance law for the last three cases could not be assumed directly by perceiving through the intuition. Finally, some existing results are reduced immediately as special cases.

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Authors and Affiliations

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

    Dai Tian-min  (戴天民) (Professor, Doctor)

Authors
  1. Dai Tian-min  (戴天民)
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Correspondence to Dai Tian-min  (戴天民).

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Project supported by the National Natural Science Foundation of China (Nos.10072024 and 10472041)

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Dai, Tm. Renewal of basic laws and principles for polar continuum theories (X) — master balance law. Appl Math Mech 27, 167–174 (2006). https://doi.org/10.1007/s10483-006-0204-y

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  • DOI: https://doi.org/10.1007/s10483-006-0204-y

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