Advertisement

Miscellaneous Topics

  • Sergey AlexandrovEmail author
Chapter
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

This chapter deals with several typical solutions to demonstrate effects of the mis-match factor, three-dimensional deformation (thickness effect) and plastic anisotropy on the limit load of welded plates. The general approach to build up singular kinematically admissible velocity fields previously used in plane strain and axisymmetric solutions for highly undermatched structures is extended to three-dimensional deformation of tensile specimens to estimate the thickness effect on the limit load. The effect of the mis-match factor on the limit load is illustrated by simple examples for overmatched and undermatched center cracked specimens in tension. The effect of plastic anisotropy on the limit load is demonstrated for both highly undermatched and overmatched center cracked specimens under plane strain conditions.

Keywords

Plastic Zone Yield Criterion Anisotropic Material Limit Load Plastic Anisotropy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. S.E. Aleksandrov, R.V. Goldstein, Influence of plastic anisotropy on predictions of some engineering approaches in fracture mechanics. Mech. Solids 46, 856–862 (2011)CrossRefGoogle Scholar
  2. S. Alexandrov, A note on the limit load of welded joints of a rectangular cross - section. Fat. Fract. Eng. Mater. Struct. 22, 449–452 (1999)CrossRefGoogle Scholar
  3. S. Alexandrov, Specific features of solving the problem of compression of an orthotropic plastic material between rotating plates. J. Appl. Mech. Technol. Phys. 50, 886–890 (2009)CrossRefGoogle Scholar
  4. S. Alexandrov, Effect of plastic anisotropy on the predictive capacity of flaw assessment procedures. Mater. Sci. Forum 638–642, 3821–3826 (2010a)CrossRefGoogle Scholar
  5. S. Alexandrov An effect of plastic anisotropy on the strain rate intensity factor. in Proceedings 10th biennial ASME conference on engineering systems design and analysis (ESDA 2010), Istanbul (Turkey), 12–14 July 2010, Paper ESDA2010-24021 (2010b)Google Scholar
  6. S. Alexandrov, Behavior of anisotropic plastic solutions in the vicinity of maximum-friction surfaces. J. Appl. Mech. Technol. Phys. 52, 483–490 (2011)CrossRefGoogle Scholar
  7. S. Alexandrov, N. Chikanova, M. Kocak, Analytical yield load solution for overmatched center cracked tension weld specimen. Eng. Fract. Mech. 64, 383–399 (1999)CrossRefGoogle Scholar
  8. S. Alexandrov, K.-H. Chung, K. Chung, Effect of plastic anisotropy of weld on limit load of undermatched middle cracked tension specimens. Fat. Fract. Eng. Mater. Struct. 30, 333–341 (2007)CrossRefGoogle Scholar
  9. S.E. Alexandrov, R.V. Goldstein, An upper bound limit load for overmatched scarf-joint specimens. Fat. Fract. Eng. Mater. Struct. 22, 975–979 (1999)CrossRefGoogle Scholar
  10. S. Alexandrov, Y.-M. Hwang, A limit load solution for highly weld strength undermatched DE(T) specimens. Eng. Fract. Mech. 77, 2906–2911 (2010)CrossRefGoogle Scholar
  11. S. Alexandrov, M. Kocak, Effect of three-dimensional deformation on the limit load of highly weld strength undermatched specimens under tension. Proc. IMechE Part C: J. Mech. Eng. Sci. 222, 107–115 (2008)CrossRefGoogle Scholar
  12. S. Alexandrov, N. Kontchakova, Influence of anisotropy on limit load of weld-strength overmatched cracked plates in pure bending. Mater. Sci. Eng. 387–389A, 395–398 (2004)Google Scholar
  13. S. Alexandrov, N. Kontchakova, Influence of anisotropy on the limit load of a bi-material welded cracked joints subject to tension. Eng. Fract. Mech. 72, 151–157 (2005)CrossRefGoogle Scholar
  14. S. Alexandrov, G.-Y. Tzou, Influence of plastic anisotropy on limit load of welded joints with cracks. Key Eng. Mater. 345–346, 425–428 (2007)CrossRefGoogle Scholar
  15. S. Alexandrov, G.-Y. Tzou, S.-Y. Hsia, Effect of plastic anisotropy on the limit load of highly undermatched welded specimens in bending. Eng. Fract. Mech. 75, 3131–3140 (2008)CrossRefGoogle Scholar
  16. A. Capsoni, L. Corradi, P. Vena, Limit analysis of orthotropic structures based on Hill’s yield condition. Int. J. Solids Struct. 38, 3945–3963 (2001a)zbMATHCrossRefGoogle Scholar
  17. A. Capsoni, L. Corradi, P. Vena, Limit analysis of anisotropic structures based on the kinematic theorem. Int. J. Plast. 17, 1531–1549 (2001b)zbMATHCrossRefGoogle Scholar
  18. K.S. Chan, Effects of plastic anisotropy and yield surface shape on sheet metal stretchability. Metall. Trans. 16A, 629–639 (1985)Google Scholar
  19. J.C. Gibbings, Dimensional Analysis (Springer, London, 2011)zbMATHCrossRefGoogle Scholar
  20. I.F. Collins, S.A. Meguid, On the influence of hardening and anisotropy on the plane-strain compression of thin metal strip. Trans. ASME J. Appl. Mech. 44, 271–278 (1977)zbMATHCrossRefGoogle Scholar
  21. R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950)zbMATHGoogle Scholar
  22. J. Joch, R.A. Ainsworth, T.H. Hyde, Limit load and J-estimates for idealised problems of deeply cracked welded joints in plane-strain bending and tension. Fat. Fract. Eng. Mater. Struct. 16, 1061–1079 (1993)CrossRefGoogle Scholar
  23. Y.-J. Kim, K.-H. Schwalbe, Compendium of yield load solutions for strength mis-matched DE(T), SE(B) and C(T) specimens. Eng. Fract. Mech. 68, 1137–1151 (2001)CrossRefGoogle Scholar
  24. A. Kotousov, M.F.M. Jaffar, Collapse load for a crack in a plate with a mismatched welded joint. Eng. Failure. Anal. 13, 1065–1075 (2006)CrossRefGoogle Scholar
  25. J.R. Rice, Plane strain slip line theory for anisotropic rigid/plastic materials. J. Mech. Phys. Solids 21, 63–74 (1973)zbMATHCrossRefGoogle Scholar

Copyright information

© The Author(s) 2012

Authors and Affiliations

  1. 1.A.Yu. Ishlinskii Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia

Personalised recommendations