Aim of this paper is to introduce a basis formulation framed into complex analysis valid to solve shear and torsion problems. Solution, in terms of a complex function related to the complete tangential stress field, may be evaluated performing line integrals only. This basis formulation framed into elasticity problems may be a useful support for a boundary method to verify the accuracy of an approximation of function solution. The numerical applications stress the latter point and show the validity of these formulas since exact solutions may be reached for sections where the exact solution is known
Pirrotta, A. (2012). Complex Potential Function in Elasticity Theory: shear and torsion solution through line integrals. ACTA MECHANICA, 223(6), 1251-1259 [10.1007/s00707-012-0628-x].
Complex Potential Function in Elasticity Theory: shear and torsion solution through line integrals
PIRROTTA, Antonina
2012-01-01
Abstract
Aim of this paper is to introduce a basis formulation framed into complex analysis valid to solve shear and torsion problems. Solution, in terms of a complex function related to the complete tangential stress field, may be evaluated performing line integrals only. This basis formulation framed into elasticity problems may be a useful support for a boundary method to verify the accuracy of an approximation of function solution. The numerical applications stress the latter point and show the validity of these formulas since exact solutions may be reached for sections where the exact solution is knownFile | Dimensione | Formato | |
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