TY - GEN
T1 - Characterizing Size Dependence of Ceramic-Fiber Strength Using Modified Weibull Distribution
AU - Zhu, Y. T.
AU - Blumenthal, W. R.
AU - Zhou, B. L.
PY - 1995/10
Y1 - 1995/10
N2 - The strengths of ceramic fibers have been observed to increase with decreasing fiber diameter and length. The traditional single-modal Weibull distribution function can only take into account one type of flaw, which makes it inappropriate to characterize the strength dependence of both the diameter and the length since ceramic fibers usually have both volume and surface flaws which affect the strength dependence in different ways. Although the bimodal Weibull distribution can be used to characterize both volume and surface flaws, the mathematical difficulty in its application makes it undesirable. In this paper, the factors affecting fiber strength are analyzed in terms of fracture mechanics and flaw formation. A modified Weibull distribution function is proposed to characterize both the diameter dependence and the length dependence of ceramic fibers.
AB - The strengths of ceramic fibers have been observed to increase with decreasing fiber diameter and length. The traditional single-modal Weibull distribution function can only take into account one type of flaw, which makes it inappropriate to characterize the strength dependence of both the diameter and the length since ceramic fibers usually have both volume and surface flaws which affect the strength dependence in different ways. Although the bimodal Weibull distribution can be used to characterize both volume and surface flaws, the mathematical difficulty in its application makes it undesirable. In this paper, the factors affecting fiber strength are analyzed in terms of fracture mechanics and flaw formation. A modified Weibull distribution function is proposed to characterize both the diameter dependence and the length dependence of ceramic fibers.
UR - http://www.scopus.com/inward/record.url?scp=0029454935&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0029454935&origin=recordpage
M3 - RGC 32 - Refereed conference paper (with host publication)
T3 - Proceedings of the James Li Symposium on Micromechanics of Advanced Materials
SP - 493
EP - 497
BT - Proceedings of the James Li Symposium on Micromechanics of Advanced Materials
PB - Minerals, Metals & Materials Soc (TMS)
T2 - 1996 Symposium on Micromechanics of Advanced Materials
Y2 - 29 October 1995 through 2 November 1995
ER -