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Making multipass welding simulations more robust

I am running multipass welding simulations. In the second or later welding steps, I frequently run into trouble with large deformations and elements turning inside-out, especially in the previous welding beads and the component material below the welding. Cause is obviously the low flow stress of the material at high temperature. Any good ideas for strategies on how to prevent simulations from crashing? Element deletion works, but the results are not satisfactory regarding stress results (see the image for an example).
ProblemElementDeletion
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