Using constraint satisfaction as a means for modelling parallel folding evolution

Rorie Edmunds, Ben J Hicks, Glen Mullineux

Research output: Contribution to journalArticle

1 Citation (SciVal)


This paper uses constraint satisfaction and optimization to find least energy solutions of a solid, elastic frictional model for parallel folding. Such a model is representative of multilayer geological systems undergoing buckling deformation and modelling the evolution of folds poses a significant problem. Simplifying the model down to a two-layer formulation and, assuming the geometry of the whole layered material is governed by this, the behaviour of the central interface is modelled using a number of points whose movement is constrained. The small-deflection model, with a linear foundation and no apparent lock-up criteria, closely matches the sequential nature seen in experiments. By adding a hardening non-linear foundation stiffness and linearly increasing the overburden pressure, the destabilization and restabilization of the experimental load-deflection plots is clearly observed.
Original languageEnglish
Pages (from-to)169-192
Number of pages24
JournalIMA Journal of Applied Mathematics
Issue number1
Early online date23 Dec 2010
Publication statusPublished - Feb 2011


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