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A Note on the Legendre Series Solution of the Laplace Equation for Cylindrical Problems

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Abstract

The mechanical modelling of cylindrical problems is addressed. A series solution is considered of the Laplace equation, in which the series terms of the stress function Φ are expressions based upon Legendre polynomials and logarithmically singular functions. An explicit form of a polynomial supplementing each logarithmically singular part of the series solution is obtained.

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Acknowledgements

This note is dedidated to the memory of Prof. Mario Cannarozzi.

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Correspondence to Antonio Strozzi.

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Strozzi, A., Bertocchi, E. A Note on the Legendre Series Solution of the Laplace Equation for Cylindrical Problems. J Elast 118, 109–112 (2015). https://doi.org/10.1007/s10659-014-9476-3

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  • DOI: https://doi.org/10.1007/s10659-014-9476-3

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