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Renewal of basic laws and principles for polar continuum theories (IV)—Surface couservation laws

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Abstract

The purpose is to reestablish rather complete surface conservation laws for micropolar thermomechanical continua from the translation and the rotation invariances of the general balance law. The generalized energy-momentum and energy-moment of momentum tensors are presented. The concrete forms of surface conservation laws for micropolar thermomechanical continua are derived. The existing related results are naturally derived as special cases from the results proposed in this paper. The incomplete degrees of the existing surface conservation laws are clearly seen from the process of the deduction. The surface conservation laws for nonlocal micropolar thermomechanical continua may be easily obtained via localization.

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Authors and Affiliations

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

    Dai Tian-min Professor, Doctor

Authors
  1. Dai Tian-min Professor, Doctor
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Additional information

Contributed by DAI Tian-min, Original Member of Editorial Committee, AMM

Foundation items: the National Natural Science Foundation of China (10072024); the Research Foundation of Liaoning Education Committee (990111001)

Biography: DAI Tian-min (1931 ~)

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Tian-min, D. Renewal of basic laws and principles for polar continuum theories (IV)—Surface couservation laws. Appl Math Mech 24, 1245–1252 (2003). https://doi.org/10.1007/BF02439646

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  • DOI: https://doi.org/10.1007/BF02439646

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2000 Mathematics Subject Classification

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