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Although deformation is three-dimensional in nature, a plate thickness of the order of 100 km permits a 2-D approach for wavelengths longer than a few hundred kilometres. We assume an Airy compensation at the crust-mantle boundary throughout the deformation. We can then reduce the problem to a 2-D one within the context of thin plate theory. This model makes it possible to study crustal thickening during collisions.
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Vilotte et al. (1986) studied this question.
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