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Some basic principles for linear coupled dynamic thermopiezoelectricity

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Abstract

According to the basic idea of classical yin-yang complementarity and modern dualcomplementarity, in a simple and unified way some basic principles for linear coupled dynamic thermopiezoelectricity can be established systematically. An important integral relation in terms of convolutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem in linear coupled dynamic thermopiezoelectricity, but also to derive systematically the complementary functionals for eleven-field, nine-field, six-field and three-field simplified Gurtin-type variational principles. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly.

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Authors and Affiliations

  1. Department of Applied Mechanics and Engineering, Zhongshan University, 510275, Guangzhou, China

    En Luo

  2. Department of Civil and Structural Engineering, Hong Kong University of Science and Technology, Hong Kong, China

    Junshang Kuang

Authors
  1. En Luo
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  2. Junshang Kuang
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19672074) and Research Grand Council of Hong Kong, No.RGC97/98, HKUST 6055/97E.

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Luo, E., Kuang, J. Some basic principles for linear coupled dynamic thermopiezoelectricity. Sci. China Ser. A-Math. 42, 1292–1300 (1999). https://doi.org/10.1007/BF02876030

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  • DOI: https://doi.org/10.1007/BF02876030

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