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.
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