Effect of sample length and width on Young’s modulus value of paperboard obtained from flexural vibration test

Abstract The Young’s moduli in the machine (M) and cross-machine (C) directions, denoted as E md and E cd , respectively, were determined for two flat paperboard samples with a thickness of 1 mm using a flexural vibration (FV) test. During the tests, the length ( L ) and width ( B ) of the samples were varied in the ranges of 60 ≤ L ≤ 140 mm and 10 ≤ B ≤ 50 mm, respectively, and their effects on E M and E C were examined. Before the FV tests, finite element calculations were performed, and the results were compared with those obtained from the subsequent FV tests. The sample configurations had a greater effect on E md than on E cd . When the sample length was aligned in the M direction, saddle-shaped deformation increased with the increasing B value, reducing the accuracy of E md . However, statistical analyses revealed that sample configurations affected E md and E cd , and the optimal ranges of L and B were 80 ≤ L ≤ 120 mm and 10 ≤ B ≤ 30 mm, respectively.