Plane Strain Solutions for Highly Undermatched Tensile Specimens

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


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.


Plastic Zone Limit Load Plastic Layer Plane Strain Compression Velocity Discontinuity 
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Copyright information

© The Author(s) 2012

Authors and Affiliations

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

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