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The method of weighted residuals for transversely isotropic axisymmetric problems and its applications to engineering

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Abstract

A method with two harmonic functions is proposed for solving transversely isotropic axisymmetric problems by applying the theorems of Refs. [1] and [5]. A series of simple formulas of the boundary least square collocation method is derived. Two engineering examples show that the present method is much more convenient than Lekhniskii's with biharmonic functions. Some useful conclusions are finally obtained.

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Liangchi, Z., Haojiang, D. The method of weighted residuals for transversely isotropic axisymmetric problems and its applications to engineering. Acta Mech Sinica 3, 261–267 (1987). https://doi.org/10.1007/BF02486772

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  • DOI: https://doi.org/10.1007/BF02486772

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