Welding process is widely used in manufacturing of many important engineering components. For such structures, the most important problem is the development of residual stresses and distortion due to welding. Welding tensile residual stresses have a detrimental effect and play an important role in an industrial environment. Crack initiation and propagation in static or fatigue loading, or in stress corrosion can be greatly accelerated by welding tensile stresses. Practically, however, it is often very difficult to characterize the residual stress state completely, while the knowledge of the complete residual stress distribution in structures is essential for assessing their safety and durability. In this research, based on the concept of the Airy stress function, an inverse approach would be presented to reconstruct the residual stress field from limited incomplete measurements of the residual stresses existing in a welded plate. In contrast to the published methods, a general solution based on the approximated stress function would be proposed together with satisfying all of the requirements of continuum mechanics; also, there exist a flexibility to impose the type of the physical behavior of residual stresses to attain the meaningful stress field. The efficiency of the method has been demonstrated by achieving an excellent agreement between the model prediction and experimental measured stresses in the sense of least-square approximation; also, the solution of the inverse problem has been stabilized using the Tikhonov–Morozov stabilization theory.
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e-mail: farrahi@sharif.edu
e-mail: faghidian@gmail.com
e-mail: David.Smith@bristol.ac.uk
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December 2010
Research Papers
An Inverse Method for Reconstruction of the Residual Stress Field in Welded Plates
G. H. Farrahi,
G. H. Farrahi
School of Mechanical Engineering,
e-mail: farrahi@sharif.edu
Sharif University of Technology
, Tehran 1458889694, Iran
Search for other works by this author on:
S. A. Faghidian,
S. A. Faghidian
School of Mechanical Engineering,
e-mail: faghidian@gmail.com
Sharif University of Technology
, Tehran 1458889694, Iran
Search for other works by this author on:
D. J. Smith
D. J. Smith
Department of Mechanical Engineering,
e-mail: David.Smith@bristol.ac.uk
University of Bristol
, Bristol BS8 1TR, UK
Search for other works by this author on:
G. H. Farrahi
School of Mechanical Engineering,
Sharif University of Technology
, Tehran 1458889694, Irane-mail: farrahi@sharif.edu
S. A. Faghidian
School of Mechanical Engineering,
Sharif University of Technology
, Tehran 1458889694, Irane-mail: faghidian@gmail.com
D. J. Smith
Department of Mechanical Engineering,
University of Bristol
, Bristol BS8 1TR, UKe-mail: David.Smith@bristol.ac.uk
J. Pressure Vessel Technol. Dec 2010, 132(6): 061205 (9 pages)
Published Online: October 15, 2010
Article history
Received:
July 20, 2009
Revised:
February 12, 2010
Online:
October 15, 2010
Published:
October 15, 2010
Citation
Farrahi, G. H., Faghidian, S. A., and Smith, D. J. (October 15, 2010). "An Inverse Method for Reconstruction of the Residual Stress Field in Welded Plates." ASME. J. Pressure Vessel Technol. December 2010; 132(6): 061205. https://doi.org/10.1115/1.4001268
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