Advertisement

Plane Strain Solutions for Highly Undermatched Tensile Specimens

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

Abstract

The specimens considered in this chapter are welded plates with the weld orientation orthogonal to the line of action of tensile forces applied. A crack is entirely located in the weld. Edge cracks are excluded from consideration. The width of the plate is denoted by 2W, its thickness by 2B, the thickness of the weld by 2H, and the length of the crack by 2a (except the last solution of this chapter which deals with cracks of arbitrary shape in the plane of flow). Since plane strain solutions are of concern in the present chapter, integration in the thickness direction in volume and surfaces integrals involved in Eq. (1.4) is replaced with the multiplier 2B without any further explanation. For the same reason, the term “velocity discontinuity surface” is replaced with the term “velocity discontinuity curve (or line)”. The latter refers to curves (lines) in the plane of flow. Base material is supposed to be rigid.

Keywords

Plastic Zone Limit Load Plastic Layer Plane Strain Compression Velocity Discontinuity 
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. Alexandrov, A limit load solution for a highly weld strength undermatched tensile panel with an arbitrary crack. Eng. Fract. Mech. 77, 3368–3371 (2010)CrossRefGoogle Scholar
  2. S. Alexandrov, O. Richmond, On estimating the tensile strength of an adhesive plastic layer of arbitrary simply connected contour. Int. J. Solids Struct. 37, 669–686 (2000)zbMATHCrossRefGoogle Scholar
  3. S. Hao, A. Cornec, K.-H. Schwalbe, Plastic stress-strain fields of a plane strain cracked tensile panel with a mismatched welded joint. Int. J. Solids Struct. 34, 297–326 (1997)zbMATHCrossRefGoogle Scholar
  4. R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950)zbMATHGoogle Scholar
  5. Y.-J. Kim, K.-H. Schwalbe, Mismatch effect on plastic yield loads in idealised weldments I. Weld centre cracks. Eng. Fract. Mech. 68, 163–182 (2001a)CrossRefGoogle Scholar
  6. Y.-J. Kim, K.-H. Schwalbe, Mismatch effect on plastic yield loads in idealised weldments II. Heat affected zone cracks. Eng. Fract. Mech. 68, 183–199 (2001b)CrossRefGoogle Scholar
  7. A. Kotousov, M.F.M. Jaffar, Collapse load for a crack in a plate with a mismatched welded joint. Eng. Fail. Anal. 13, 1065–1075 (2006)CrossRefGoogle Scholar
  8. L. Prandtl, Anwendungsbeispiele Zu Einem Henckyschen Satz Uber Das Plastische Gleichgewicht. Zeitschr. Angew. Math. Mech. 3, 401–406 (1923)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