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When you run into problems like this pre-compose. For example, if you apply Fractal Noise to a layer to generate the displacement map then you have to pre-compose the fractal noise layer and move all attributes to the pre-comp so that the displacement map will be rendered before it is used as a source for displacement.
BTW, this screenshot to completely explain the process was set up by selecting all layers in all comps and pressing the U key twice to show the modified properties of the layers. When you have a problem it's a lot easier to precisely diagnose the problem if we know what you are modifying. Your screenshots only hint at the problem. You can just use print screen and paste in the reply field on Windows or Shift + Ctrl/Cmnd + 3 and drag to the reply field on this forum to post a screenshot of the entire project.
You may want to try a shape layer with only a stroke and add trim paths instead of using Stroke applied to a solid. There are more options like end caps and gradient fills. and you may get a better result.
well, i tried it with a shape layer as you said. it works (thank you ) but i'm still wondering what's going on with the first method...
The fractal noise layer is analyzed for its pixel content first and then effects are applied. When you use Desplacement Map it looks at the reference layer's original pixels before any effects are applied. Pre-composing changes the order so the effects are now rendered before the pixels are used as a reference.