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The mechanical method of constructing the displacement functions in elasticity

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Abstract

In this paper we have provn the general solution to the equations of linear operators Au=f asu=Cυ+e, where υ satisfies the equation Dυ=g and D is a diagnoal matrix. Basing on the constructive proof of Hilbert Nullstellensatz, we have given the mechanical method of constructing C, D, and e, and some of the mechanical algorithm displacement functions in elasticity are given by this method also.

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Authors and Affiliations

  1. Institute of Mathematical Science, Dalian Univ. of Tech., 116023, Dalian, P. R. China

    Zhang Hong-qing & Feng Hong

Authors
  1. Zhang Hong-qing
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  2. Feng Hong
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Project supported by the National Natural Science Foundation of China and Mathematics Mechanization Research Center

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Hong-qing, Z., Hong, F. The mechanical method of constructing the displacement functions in elasticity. Appl Math Mech 16, 335–344 (1995). https://doi.org/10.1007/BF02456946

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  • DOI: https://doi.org/10.1007/BF02456946

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