The plasma facing Be tiles in ITER may detach from the supporting structure and overheat if the joint quality and performance were poor. Nevertheless, when a heat flux is applied the temperature gradient causes a bending of the tile. This bending can actually close the gap/crack so that the thermal conductivity is restored again. Thermo-mechanical FEM simulations demonstrate this principle and its influence on the cool-down. For practical reasons the use of an exponential fitting function is actually a good choice.
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