As I know, grid depency test used when simulate CFD. So, I received requested to do grid depency test for structural analysis which is tensile test.
Yes, it is appropriate. but for simplification of the model, you can perform grid dependency on the sensitive areas such as output pickup areas, stress concentration areas and etc.
Good Luck
Grid dependency test is necessary to have confidence on the accuray of simulated results.
1) Firstly, you can try to compare your simulated restuls with experimental resutls (your own or availabe from other) or results from analytical equations. If the error is in the tolerable range (according your criterion), you don't need to waste your time on grid dependency.
2) If you are looking for the best mesh which can give the smallest error, you need to work on grid dependency.
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