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If one folds a thin viscoelastic sheet under an applied force, a line ofplastic deformation is formed which shapes the sheet into an angle. Wedetermine the parameters that define this angle experimentally and show that,no matter how much load one applies, it is impossible to make angles less thana certain minimum angle in a definite time. Moreover, it is shown thatregardless of whether the sheet is released freely afterward or kept under theload, a logarithmic relaxation process follows the first deformation. The slopeof this logarithm is the same in both conditions and depends neither on theapplied force nor on the thickness of the sheet, which indicates it is directlya probe of the molecular mobility of the material. This intrinsic relaxationconstant was measured 0.01 and 5.7 for Mylar and paper sheets, respectively. Itis also suggested that the observed minimum angle of folding can be defined asa characteristic index for the plasticity of different materials.

A relaxation constant in the folding of thin viscoelastic sheets