Chapter 6
Strip Yield Model Solutions


The following pages are devoted to strip yield model solutions (sometimes called the “Dugdale-Barrenblatt model”; e.g., Barrenblatt 1962). This model is useful in assessing the effects of finite configuration size and high net section stresses on the plastic zone size accompanying a crack tip. It does give plastic zone size estimates with some improvement over the small-scale yielding analysis represented by Eq. (27) (p. 1.11), but falls short of a full plasticity solution. Consequently, the formulas on these solution pages should be regarded as improved estimates of plastic zone size, l , as directly comparable to rp of Eq. (29) (p. 1.11).

The strip yield model replaces the actual crack and its plastic zone, Fig. 30-1 (a), with the superposition of two elastic crack solutions Fig. 30-1 (b) and (c). The crack length in the model, (b) and (c), is taken to be the actual crack length plus the plastic zone size, l As in Fig. 30-l(c), the plasticity effects are modeled by applying closing flow stresses, σY, over the portion of the model crack surface where plasticity is occuring for the actual crack. At the new model crack tip the stresses must be finite; therefore the total crack tip stress intensity in the model must be zero, that is

This relationship is used with the appropriate elastic stress solutions for the model cracks to determine £ and other features of the solution.

  • Introduction to Strip Yield Model Analysis
  • Additional Notes on Strip Yield Models
  • Two-Dimensional Problems of Strip Yielding from Crack(s)
  • Two-Dimensional Problems of Strip Yielding from a Hole with or without Crack(s)
  • Three-Dimensional Strip Yielding Solutions
Topics: Strips

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