Residual stress analysis of welded joints by the variational eigenstrain approach

Alexander M. Korsunsky, Gabriel Regino, David Nowell

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


We present the formulation for finding the distribution of eigenstrains, i.e. the sources of residual stress, from a set of measurements of residual elastic strain (e.g. by diffraction), or residual stress, or stress redistribution, or distortion. The variational formulation employed seeks to achieve the best agreement between the model prediction and some measured parameters in the sense of a minimum of a functional given by a sum over the entire set of measurements. The advantage of this approach lies in its flexibility: different sets of measurements and information about different components of the stress-strain state can be incorporated. We demonstrate the power of the technique by analysing experimental data for welds in thin sheet of a nickel superalloy aerospace material. Very good agreement can be achieved between the prediction and the measurement results without the necessity of using iterative solution. In practice complete characterisation of residual stress states is often very difficult, due to limitations of facility access, measurement time or specimen dimensions. Implications of the new technique for experimental analysis are all the more significant, since it allows the reconstruction of the entire stress state from incomplete sets of data.

Original languageEnglish
Article number78
Pages (from-to)487-493
Number of pages7
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume5852 PART I
Publication statusPublished - 2005
Externally publishedYes
EventThird International Conference on Experimental Mechanics and Third Conference of the Asian Committee on Experimental Mechanics - Singapore, Singapore
Duration: 29 Nov 20041 Dec 2004


  • Diffraction
  • Eigenstrain
  • Numerical method
  • Residual stress
  • Variational calculus
  • Welds


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