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OriginalArticle

Uncertainty quantification in modelling welding residual stress and distortion

Pages 722-727 | Received 09 Jun 2011, Accepted 23 Aug 2011, Published online: 12 Nov 2013

References

  • Hibbitt H, Marcal PV: ‘A numerical, thermo-mechanical modelfor the welding and subsequent loading of a fabricated structure’, Comput.Struct., 1973, 3, (5), 1145–1174.
  • Argyris JH, Szimmat J, Willam KJ: ‘Computational aspects of welding stressanalysis’, Comput. Meth. Appl. Mech. Eng., 1982, 33, 635–666.
  • Papazoglou VJ, Masubuchi K: ‘Numerical analysis of thermal stressesduring welding including phase transformation effects’, J.Pres. Ves. Technol., 1982, 104, 198–203.
  • Lindgren L.-E: ‘Finite element modelling and simulationof welding. Part 1 – increased complexity’, J.Therm. Stresses, 2001, 24, 141–192.
  • Lindgren L.-E: ‘Finite element modelling and simulationof welding. Part 2 – improved material modelling’, J.Therm. Stresses, 2001, 24, 195–231.
  • Lindgren L.-E: ‘Finite element modelling and simulationof welding. Part 3 – efficiency and integration’, J.Therm. Stresses, 2001, 24, 305–334.
  • Lindgren L.-E, Michaleris P: ‘Modeling of welding for residual stresses’, in ‘Handbookon residual stress’, (ed. , Lu J, ed), Vol. 2, 47–67; 2005, Bethel,CT, SEM.
  • Lindgren L.-E: ‘Numerical simulation of welding’, Comput.Meth. Appl. Mech. Eng., 2006, 195, 6710–6736.
  • Lindgren L.-E: ‘Computational welding mechanics’, in ‘Thermomechanicaland microstrucural simulations’; 2007, Abington, WoodheadPublishing.
  • Goldak JA, Akhlaghi M: ‘Computational welding mechanics’; 2005, NewYork, Springer.
  • Michaleris P, ed (ed.): ‘Minimization of welding distortionand buckling’, in ‘Modeling and implementation’; 2011, Cambridge, Woodhead Publishing.
  • Michaleris P, DeBiccari A: ‘Prediction of welding distortion’, Weld.J., 1997, 76, (4), 172–180.
  • Bru D, Devaux J, Bergheau J, Pont D: ‘Influence of material properties athigh temperatures on the modelling of welding residual stress and deformationstate’, in ‘Mathematical modelling ofweld phenomena (3)’, (ed. , Cerjak H, Bhadeshia H K D H, ed), 456–463; 1997, London, TheInstitute of Materials.
  • Schwenk C, Rethmeier M, Dilger K, Michailov V:‘Sensitivity analysis of welding simulationdepending on material properties value variation’ in ‘Mathematicalmodelling of weld phenomena (8)’(, Cerjak H, et al..), 1107–1128; 2007, Graz, Verlagder Technischen Universität Graz.
  • Venkayya VB: ‘Structural optimization: a review andsome recomendations’, Int. J. Numer. MethodsEng., 1978, 13, 203–228.
  • Haug EJ, Choi KK, Komkov V: ‘Design sensitivity analysis of structuralsystems’; 1986, New York, AcademicPress.
  • Dems K, Mroz Z: ‘Variational approach to sensitivityanalysis in thermoelasticity’, J. Therm. Stresses, 1987, 10, 283–306.
  • Yang RJ: ‘Shape design sensitivity analysis ofthermoelasticity problems’, Comput. Meth. Appl.Mech. Eng., 1993, 102, 41–60.
  • Meric RA: ‘Sensitivity analysis of functionalswith respect to shape for dynamically loaded nonlocal thermoelastic solids’, Int.J. Eng. Sci., 1988, 26, (7), 703–711.
  • Haftka RT, Gurdal Z: ‘Elements of structural optimization’; 1992, Dordrecht, Kluwer Academic Publishers.
  • Michaleris P, Tortorelli DA, Vidal CA: ‘Tangent operators and design sensitivityformulations for transient nonlinear coupled problems with applications toelasto-plasticity’, Int. J. Numer. Methods Eng., 1994, 37, 2471–2499.
  • Michaleris P, Tortorelli DA, Vidal CA: ‘Analysis and optimization of weaklycoupled thermo-elasto-plastic systems with applications to weldment design’, Int.J. Numer. Methods Eng., 1995, 38, 1259–1285.
  • Michaleris P, Dantzig JA, Tortorelli DA: ‘Minimization of welding residual stressand distortion in large structures’, Weld. J., 1999, 78, (11), 361s–366s.
  • Paul S, Michaleris P, Shanghvi J: ‘Optimization of thermo-elasto-plasticfinite element analysis using an Eulerian formulation’, Int.J. Numer. Methods Eng., 2003, 56, 1125–1150.
  • Song J, Peters J, Noor A, Michaleris P: ‘Sensitivity analysis of the thermomechanicalresponse of welded joints’, Int. J. Solids Struct., 2003, 40, 4167–4180.
  • Song J, Shanghvi J, Michaleris P: ‘Optimization of thermo-elasto-plasticmanufacturing processes’, Comput. Meth. Appl.Mech. Eng., 2004, 193, 4541–4566.
  • Leblond JB, Devaux J: ‘A new kinetic model for anisothermalmetallurgical transformations in steels including effect of austenite grainsize’, Acta Metall., 1984, 32, (1), 137–146.
  • Watt DF, Coon L, Bibby MJ, Goldak J, Henwwod C: ‘An algorithm for modeling microstructuraldevelopment in weld heat-affected zones’, ActaMetall., 1988, 36, (11), 3029–3035.
  • Henwood C, Bibby M, Goldak J, Watt D: ‘Coupled transient heat transfer –microstructure weld computations (Part B)’, ActaMetall., 1988, 36, (11), 3037–3046.
  • Michaleris P, Zhang L, Bhide SR, Marugabandhu P: ‘Evaluation of 2D, 3D and applied plasticstrain methods for predicting buckling welding distortion and residual stress’, J.Sci. Technol. Weld., 2006, 10, 707–716.
  • Goldak J, Chakravarti A, Bibby M: ‘A new finite element model for weldingheat sources’, Metall. Trans. B, 1984, 15B, 299–305.
  • Masubuchi K: ‘Analysis of welded structures’; 1980, Oxford, Pergamon Press.
  • Lockwood B, Anitescu M: ‘Gradient-enhanced universal krigingfor uncertainty propagation’, Technical report,ANL/MCS-P1808-1110, Argonne National Laboratory, Argonne,IL, USA, 2001.

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