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First question, I don't think so. There is no thermo mechanical coupling in Cosmosworks. There's either thermal analysis or structural but not both (yes you can link the temperature distribution to an structural thermal stress analysis, but not transient).
Second question, same answer as above.
Third question, yes it can. You can load an structure, deform it plasticly and remove the load to see the residual stresses and plastic strain.
Fourth question, no it can't. And good luck finding a commercial package that does this. You will need a high end package and lots of programming to get a model to work, computational fracture mechanics is really an academic field, in the industry there is no need to know how the crack will propagate, all you need to know is if the stress is high enough to cause it to crack or yield.
Marc does all of these type of calculations...