I have a 2D system, you can think of it as a 2D sheet. There is a formation of ridges in this sheet when it is given a constant in-plane pressure. I want to model the ridge dynamics. Is there any model, equation or theory for the ridge formation?
Maybe you could find some soft from cig, for the ridge dynamics, a rheologic model is a good try.
http://geodynamics.org/cig/software/
The results of modeling of the "ridges" formation will strongly depend on whether or not you allow "sheet" to separate from the basement on which it lies. In the first case, the "ridges" are modeled by bended folds while in the second case they arise as a result of the surface instability. See, e.g., the attached file.
In my system, the ridge is being formed due to the surface instability.
Transport away from mid-ocean ridge by plate motion (Davis and Lister, 1974)
Davis, E.E., and Lister, C.R.B., 1974, Fundamentals of ridge crest topography. Earth and Planetary Science Letters 21(4): 405-13.
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