Weibull effective volumes, surfaces, and strength scaling for cylindrical flexure specimens having bi-modularity http://compass.astm.org/download/JTE20150301.39445.pdf

Abstract

The objective of this present work was to predict the strength distribution of bi-modular cylindrical ceramic specimen from that of another based on Weibull statistical theory. In order to do so, initially, semi-analytical expression for effective volume and effective surface for the cylindrical bar loaded in flexure were derived. In addition, strength scaling ratio from one flexural loading configuration to another with various Weibull modulus was made available. Elaborate experimentation and numerical simulations was carried out to verify the analytical model. Generally, strength scaling for specimen size is dependent on whether the flaws are volume or surface distributed; however, in this study, it was observed that the ratio of strengths from any two configurations, such as three-point flexural to four-point, is independent of whether the flaws are volume or surface distributed when the crosssectional sizes are the same. Copyright © 2015 by ASTM International.