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.

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.

A Note on the Legendre Series Solution of the Laplace Equation for Cylindrical Problems / Strozzi, Antonio; Bertocchi, Enrico. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - STAMPA. - 118:1(2015), pp. 109-112. [10.1007/s10659-014-9476-3]

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

STROZZI, Antonio;BERTOCCHI, Enrico
2015

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.
2015
27-mar-2014
118
1
109
112
A Note on the Legendre Series Solution of the Laplace Equation for Cylindrical Problems / Strozzi, Antonio; Bertocchi, Enrico. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - STAMPA. - 118:1(2015), pp. 109-112. [10.1007/s10659-014-9476-3]
Strozzi, Antonio; Bertocchi, Enrico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1019713
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