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A version of Hill’s lemma for Cosserat continuum

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Abstract

On the basis of Hill’s lemma for classical Cauchy continuum, a version of Hill’s lemma for micro–macro homogenization modeling of heterogeneous Cosserat continuum is presented in the frame of average-field theory. The admissible boundary conditions required to prescribe on the representative volume element for the modeling are extracted and discussed to ensure the satisfaction of Hill–Mandel energy condition and the first-order average field theory.

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Authors and Affiliations

  1. The State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, 116024, Dalian, China

    Xikui Li & Qipeng Liu

Authors
  1. Xikui Li
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  2. Qipeng Liu
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Correspondence to Xikui Li.

Additional information

This project was supported by the National Natural Science Foundation of China (90715011, 10672033 and 10590354) and the National Key Basic Research and Development Program (2002CB412709), and the Australia Research Council through the ARC International Fellowship Offered at University of Newcastle (LX0666274).

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Li, X., Liu, Q. A version of Hill’s lemma for Cosserat continuum. Acta Mech Sin 25, 499–506 (2009). https://doi.org/10.1007/s10409-009-0231-0

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  • DOI: https://doi.org/10.1007/s10409-009-0231-0

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