Uncertainty reduction in residual stress measurements by an optimised inverse solution using nonconsecutive polynomials

Many destructive methods for measuring residual stresses such as the slitting method require an inverse analysis to solve problem. The accuracy of result well uncertainty component (the model uncertainty) depends on basis functions used in solution. use a series expansion solution was analysed previous work particular case where orders grew consecutively. present presents new estimation and improved methodology select final is composed polynomials. Including nonconsecutive polynomial generates larger space possible solutions be evaluated allows possibility include higher-order paper includes comparison with two other analyses methodologies applied synthetically generated data. With methodology, error reduced improved.