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Finite element analysis of plasticity - induced fatigue crack closure using contact elements

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Figure 1:  Plastic deformation around a growing crack.
Figure 2:  Stabilization of crack opening stress values under plane-stress and  plane-strain, where S y  is material yield stress, and w is half-width
Figure 3:  (a) Schematics of the boundary conditions and loading; and   (b) finite element mesh
Figure 4:  Schematic presentation of the determination of opening stress  during loading
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