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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
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)
R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950)
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)
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)
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)
L. Prandtl, Anwendungsbeispiele Zu Einem Henckyschen Satz Uber Das Plastische Gleichgewicht. Zeitschr. Angew. Math. Mech. 3, 401–406 (1923)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 The Author(s)
About this chapter
Cite this chapter
Alexandrov, S. (2012). Plane Strain Solutions for Highly Undermatched Tensile Specimens. In: Upper Bound Limit Load Solutions for Welded Joints with Cracks. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29234-7_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-29234-7_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29233-0
Online ISBN: 978-3-642-29234-7
eBook Packages: EngineeringEngineering (R0)