Glass fibers failure probability

Figure 7.13 Failure probability of 1 m and 10m gage length optical glass fibers. The long lengths of optical glass fibers have multiple flaw populations, i.e. there is more than one source of flaws, thus they do not follow the simple Weibull distribution (after Maurer, 1985).

Measured strengths of identically prepared glass fibers always show a distribution. Although without any fundamental basis, it is customary to plot the measured strength distribution on a Weibull plot where the ordinate is ln(ln [l/(l — F)] and the abscissa is In S. Here P S) is the cumulative probability of failure for strengths less than or equal to... 

The mechanical, thermal, and hygrothermal properties of FRP composites are a function of selected constituent materials, namely fiber and matrix, and the fiber, matrix, and void volume fractions that are a result of the manufacturing process. In this analysis, the influence of fiber volume fraction on the failure probability of FRP-rehabilitated piping components is also examined. Procedures for micromechanical and macromechanical analysis of lamina (i.e., determination of lamina elastic moduli and strength properties) from basic constituent properties are well established and readily available in standard texts (Kaw, 2006). Table 5.2 summarizes the constituent properties of carbon fiber, glass fiber, and epoxy matrix utihzed in the reliability analyses presented in this chapter. These standard properties were obtained from Kaw (2006). 

Table 5.5 Mechanical properties and instantaneous failure probability for a glass fiber-reinforced polymer...

Figure 5.5 Failure probability of glass fiber-reinforced polymer (GFRP)-composite pipe rehabilitation versus time.

Figure 5.7 Glass fiber-reinforced polymer-composite failure probability versus fiber volume fraction.

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