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We consider an elastic half-space whose free surface is capable of supporting its own stress field. This stress is a linear function of surface strain and is related to the stress in the interior of the body by a nonclassical boundary condition. We study the wrinkling (buckling) of the surface and show that this type of behavior is possible whenever the surface has a compressive residual stress or a negative stress-strain modulus.
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Andreussi et al. (1977) studied this question.
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