Complex Potential Function in Elasticity Theory: shear and torsion solution through line integrals

Aim of this paper is to introduce a basis formulation framed into complex analysis valid to solveshear and torsion problems. Solution, in terms of a complex function related to the complete tangential stressfield, may be evaluated performing line integrals only. This basis formulation framed into elasticity problemsmay 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 solutionsmay be reached for sections where the exact solution is known