6533b86dfe1ef96bd12caa03

RESEARCH PRODUCT

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

Antonina Pirrotta

subject

Mechanical EngineeringMathematical analysisComputational MechanicsLine integralTorsion (mechanics)Elasticity (physics)Tangential stressExact solutions in general relativityShear (geology)Solid mechanicsComplex potential functionshear fieldline integralsSettore ICAR/08 - Scienza Delle CostruzioniMathematics

description

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.

yearjournalcountryeditionlanguage
2012-03-22
10.1007/s00707-012-0628-xhttp://hdl.handle.net/10447/79026