The solution of cylindrical problems is addressed. A series solution is considered of the biharmonic 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 biharmonic equation for cylindrical problems / Strozzi, Antonio. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - ELETTRONICO. - 108:1(2012), pp. 119-123. [10.1007/s10659-011-9353-2]
A note on the Legendre series solution of the biharmonic equation for cylindrical problems
STROZZI, Antonio
2012
Abstract
The solution of cylindrical problems is addressed. A series solution is considered of the biharmonic 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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