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Renewal of basic laws and principles for polar continuum theories (I) —Micropolar continua

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Abstract

Based on the restudies of existing polar continuum theories rather complete systems of basic balance laws and equations for micropolar continuum theory are presented. In these new systems not only the additional angular momentum, surface moment and body moment produced by the linear momentum, surface force and body force, respectively, but also the additional velocity produced by the angular velocity are considered. The new coupled balance laws of linear momentum, angular momentum and energy are reestablished. From them the new coupled local and nonlocal balance equations are naturally derived. Via contrast it can be clearly seen that the new results are believed to be rather general and complete.

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Contributed by Dupai 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: Dupai Tian-min (1931≈)

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Tian-min, D. Renewal of basic laws and principles for polar continuum theories (I) —Micropolar continua. Appl Math Mech 24, 1119–1125 (2003). https://doi.org/10.1007/BF02438100

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  • DOI: https://doi.org/10.1007/BF02438100

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Chinese Library Classification number

2000 Mathematics Subject Classification

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