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arXiv · 1404.6340

Periodic void formation in chevron folds

Timothy J. Dodwell·Giles W. Hunt
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Abstract

An energy-based model is developed to describe the periodic formation of voids/saddle reefs in hinge zones of chevron folds. Such patterns have been observed in a series of experiments on layers of paper, as well as in the field. A simplified hinge region in a stack of elastic layers, with straight limbs connected by convex segments, is constructed so that a void forms every m layers and repeats periodically. Energy contributions include strain energy of bending, and work done both against a confining overburden pressure and an axial compressive load. The resulting total potential energy functional for the system is minimized subject to the constraint of non-interpenetration of layers, leading to representation as a nonlinear second-order free boundary problem. Numerical solutions demonstrate that there can exist a minimum-energy m-periodic solution with m equal to 1. Good agreement is found with experiments on layers of paper.

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Timothy J. Dodwell, Giles W. Hunt. 2014-04-25. Periodic void formation in chevron folds. https://arxiv.org/abs/1404.6340

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