title: Analytical solutions for determining residual stresses in two-dimensional domains using the contour method.
abstract: The contour method is one of the most prevalent destructive techniques for residual stress measurement. Up to now, the method has involved the use of the finite-element (FE) method to determine the residual stresses from the experimental measurements. This paper presents analytical solutions, obtained for a semi-infinite strip and a finite rectangle, which can be used to calculate the residual stresses directly from the measured data; thereby, eliminating the need for an FE approach. The technique is then used to determine the residual stresses in a variable-polarity plasma-arc welded plate and the results show good agreement with independent neutron diffraction measurements.
authors.affiliation: Department of Engineering Science , Oxford University , Parks Road, Oxford OX1 3PJ, UK.
authors.forename: Mehmet E
authors.initials: ME
authors.lastname: Kartal
keywords: biorthogonality condition; finite rectangle; neutron diffraction; residual stresses; semi-infinite strip; the contour method