6533b871fe1ef96bd12d0e30

RESEARCH PRODUCT

Strength distribution in paper

L. I. SalminenKaarlo NiskanenM.j. KorteojaM.j. KorteojaMikko J. Alava

subject

Materials scienceWeibull modulusMechanical EngineeringDouble exponential functionCondensed Matter PhysicsDistribution fittingGumbel distributionMechanics of MaterialsUltimate tensile strengthForensic engineeringGeneral Materials ScienceStatistical physicsDuctilityExponentiated Weibull distributionWeibull distribution

description

Abstract Tensile strength distributions are studied in four paper samples that exhibit a variety of brittle-to-ductile properties. 1005 tensile specimens were measured in each case. The standard Gumbel and Weibull distributions, and a recently proposed double exponential modification of the former are compared with the observations visually and using chi-squared and Kolmogorov–Smirnov tests. The Gumbel distribution fails to fit the data while the Weibull distribution gives satisfactory agreement. However, the double exponential distribution fits the data best, regardless of the ductility of the material.

https://doi.org/10.1016/s0921-5093(98)00491-2