Abstract
A complete theory of wrinkling of anisotropic elastic membranes is presented based on the notion of relaxed energy function. The theory is obtained as a particular case of a general theory of saturated elasticity. It is shown that when any given hyperelastic constitutive law is supplemented with a saturation condition, the right Cauchy–Green strain tensor abides by an additive decomposition law governed by a normality rule. For the case of wrinkling, these results are implemented into a numerical procedure, and examples are presented.
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