13th International Conference on Fracture June 16–21, 2013, Beijing, China -5- Figure 3. Test 2: Comparison between the modeled and the experimental temperature 3.2 Evolution of the plastic dissipation The following results illustrate the evolution of the plastic dissipation per cycle, and of the temperature near the crack tip. The calculations are done with the geometric and materials values used for test 1. The crack tip line is divided in regular angular sections of 15°, and the evolution of the plastic dissipation evolution is computed in each section and shown in Fig 4. The plastic dissipation is not distributed regularly around the crack tip line as the crack progresses and is mainly concentrated in the two elementary volume which are the nearest to the surface. Fig 4. Evolution of the plastic dissipation as a function of the fish-eye radius 5. Conclusion In this presentation, a weakly coupled thermo-mechanical finite element analysis of the propagation of a fatigue crack in VHCF fatigue regime has been proposed. The plastic dissipation per cycle has been computed from 3D finite element elastic perfectly plastic models of stationary crack in a cylinder under constant amplitude, mode I loading. The temperature rise during fatigue crack propagation is deduced from this plastic dissipation by the resolution of a transient heat conduction
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