Abstract
T he strain distribution near a crack tip deforming in plane strain under mixed Modes 1 and 2 loads is calculated using slip line field theory in the case of small-scale yielding. Large geometry change effects are taken into account. In particular it is found that: (i) true strains ahead of the blunting crack are lower in mixed Modes 1 and 2 than in Mode 1; (ii) when the Mode 2 component of load dominates, material points ahead of the blunting crack tip are swept below and past the tip as the magnitude of the load increases. For Mode 1-dominated loading, material points are swept in towards the tip; (iii) in fans not directly ahead of the notch tip, true strains can be both greater in mixed Modes 1 and 2 than in Mode 1 and greater than the strain directly ahead of the notch. The results are discussed in the context of strain-based fracture theories applicable to upper-shelf fracture.
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