TY - JOUR

T1 - The Ball-on-Three-Balls strength test

T2 - Effective volumes and surfaces for Weibull strength scaling

AU - Staudacher, Maximilian

AU - Eggel, Anna Elisa

AU - Supancic, Peter Hans

AU - Lube, Tanja

N1 - Publisher Copyright: © 2023 The Authors

PY - 2024

Y1 - 2024

N2 - In order to compare the strength results of brittle materials from various testing methods or use the data for design purposes, it is essential to know the effective volume (Veff) or surface (Seff) for every loading scenario. For the Ball-on-Three-Balls-test (B3B), Veff and Seff have to be determined and investigated through Finite-Element-Analysis due to the lack of an accurate analytical description of the stress field. Through this work, the effective volume and surface of the B3B-test are made available as tabulated data for a wide range of specimen geometries and materials, along with the tools to utilize the data. A fitting model for the dependency of Veff and Seff on the Weibull-modulus for any given specimen geometry is provided. The influence of load-dependent non-linear effects on Veff and Seff is discussed. Finally, the necessity of Veff and Seff for statistical strength analysis is demonstrated through a practical example.

AB - In order to compare the strength results of brittle materials from various testing methods or use the data for design purposes, it is essential to know the effective volume (Veff) or surface (Seff) for every loading scenario. For the Ball-on-Three-Balls-test (B3B), Veff and Seff have to be determined and investigated through Finite-Element-Analysis due to the lack of an accurate analytical description of the stress field. Through this work, the effective volume and surface of the B3B-test are made available as tabulated data for a wide range of specimen geometries and materials, along with the tools to utilize the data. A fitting model for the dependency of Veff and Seff on the Weibull-modulus for any given specimen geometry is provided. The influence of load-dependent non-linear effects on Veff and Seff is discussed. Finally, the necessity of Veff and Seff for statistical strength analysis is demonstrated through a practical example.

KW - B3B-test

KW - Biaxial testing

KW - Effective volume

KW - Strength testing

KW - Weibull theory

UR - http://www.scopus.com/inward/record.url?scp=85171328749&partnerID=8YFLogxK

U2 - 10.1016/j.jeurceramsoc.2023.09.018

DO - 10.1016/j.jeurceramsoc.2023.09.018

M3 - Article

AN - SCOPUS:85171328749

VL - 44.2024

SP - 173

EP - 183

JO - Journal of the European Ceramic Society

JF - Journal of the European Ceramic Society

SN - 0955-2219

IS - 1

ER -