TY - JOUR

T1 - Length effect of rods under three-point bending for determining the Weibull parameters of brittle materials

AU - Fok, S. L.

AU - Smart, J.

PY - 1993

Y1 - 1993

N2 - Brittle materials, such as ceramics, are commonly characterised using two parameters: one is a measure of the strength, the other a measure of the scatter. To determine these parameters three-point bending tests of circular rods are often used and the parameters determined using simple bending theory. However, the simple bending theory can be a poor representation of the stresses near the loading points particularly for small length:diameter ratio. To overcome the shortcomings of the simple theory, finite element analyses have been performed for rods of varying length:diameter ratio and correction factors for the simple theory have been determined. These factors depend on both the length:depth ratio and the material property defining the scatter.

AB - Brittle materials, such as ceramics, are commonly characterised using two parameters: one is a measure of the strength, the other a measure of the scatter. To determine these parameters three-point bending tests of circular rods are often used and the parameters determined using simple bending theory. However, the simple bending theory can be a poor representation of the stresses near the loading points particularly for small length:diameter ratio. To overcome the shortcomings of the simple theory, finite element analyses have been performed for rods of varying length:diameter ratio and correction factors for the simple theory have been determined. These factors depend on both the length:depth ratio and the material property defining the scatter.

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U2 - 10.1016/0266-8920(93)90001-C

DO - 10.1016/0266-8920(93)90001-C

M3 - Article

AN - SCOPUS:0027246954

SN - 0266-8920

VL - 8

SP - 67

EP - 73

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

IS - 2

ER -