A comparative analysis of two kinds of highly stretchable orthotropic textile materials (woven and knitted) reveals their behavior with spatial biaxial (membrane and punch) deformation. The investigation is illustrated by uncommon experimental cases when perpendicularly loaded disc-shaped specimens experience a stressed state very close to uniaxial tension, i.e., one of the two stresses of biaxial tension becomes negligibly small compared to the other. The conditions for a spatial textile shell to achieve an unstable shape, i.e., to wrinkle, are also analyzed.
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