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Limit load in bending of welded samples with a soft welded joint

  • S. E. Alexandrov
Article

Abstract

The limit load is one of the basic characteristics in estimating the workability of various structures, in particular, welded structures with a soft welded joint. In some cases, the difference in the yield stresses of the base material and the welded joint material is so pronounced that plastic strains are localized in a thin welded joint. The upper bound of the limit load of a welded sample subjected to bending under conditions of plane strains is obtained with allowance for certain specific features of such a distribution of strains. A comparison with the known solution is performed.

Key words

limit load singular velocity fields welded structures plasticity 

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References

  1. 1.
    U. Zerbst, R. A. Ainsworth, and K.-H. Schwalbe, “Basic principles of analytical flaw assessment methods,” Int. J. Pressure Vessels Piping, 77, 855–867 (2000).CrossRefGoogle Scholar
  2. 2.
    S. Hao, A. Cornec, and K.-H. Schwalbe, “Plastic stress-strain fields of a plane strain cracked tensile panel with a mismatched welded joint,” Int. J. Solids Struct., 34, No. 3, 297–326 (1997).MATHCrossRefGoogle Scholar
  3. 3.
    S. Alexandrov and M. Kocak, “Limit load analysis of strength undermatched welded T-joint under bending,” Fatigue Fract. Eng. Mater. Struct., 30, No. 4, 351–355 (2007).CrossRefGoogle Scholar
  4. 4.
    D. C. Drucker, W. Prager, and H. J. Greenberg, “Extended limit design theorems for continuous media,” Quart. Appl. Math., 9, 381–389 (1952).MATHMathSciNetGoogle Scholar
  5. 5.
    S. Alexandrov and O. Richmond, “Singular plastic flow fields near surfaces of maximum friction stress,” Int. J. Non-Linear Mech., 36, No. 1, 1–11 (2001).MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    S. Alexandrov and O. Richmond, “On estimating the tensile strength of an adhesive plastic layer of arbitrary simply connected contour,” Int. J. Solids Struct., 37, No. 4, 669–686 (2000).MATHCrossRefGoogle Scholar
  7. 7.
    S. Alexandrov, “A note on the limit load of welded joints of a rectangular cross-section,” Fatigue Fract. Eng. Mater. Struct., 22, No. 5, 449–452 (1999).CrossRefGoogle Scholar
  8. 8.
    S. E. Alexandrov, R. V. Goldstein, and N. N. Tchikanova, “Upper bound limit load solutions for a round welded bar with an internal axisymmetric crack,” Fatigue Fract. Eng. Mater. Struct., 22, No. 9, 775–780 (1999).Google Scholar
  9. 9.
    S. E. Alexandrov and N. A. Konchakova, “Upper bound of the force in extension of welded and soldered plates with an inclined joint containing a crack,” Probl. Mashinostr. Nadezhn. Mashin, No. 1, 63–69 (2007).Google Scholar
  10. 10.
    L. M. Kachanov, Foundations of the Theory of Plasticity, North-Holland, Amsterdam-London (1971).MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Institute for Problems in MechanicsRussian Academy of SciencesMoscow

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