
Proceedings Paper
Flexural strength of fused silica: Weibull statistical analysisFormat | Member Price | Non-Member Price |
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Paper Abstract
The development of high-energy lasers has focused attention on the need to assess the mechanical
strength of optical components made of fused silica (Si02). The strength of this material is known
to be highly dependent on the stressed area and the surface finish, but has not yet been properly
characterized in the published literature. Recently, Detrio and collaborators at the University of
Dayton Research Institute (UDRI) performed extensive ring-on-ring flexural strength measurements
on fused Si02 specimens ranging in size from 1 to 9 inches in diameter and of widely differing
surface quality. In this contribution, we report on a Weibull statistical analysis of the UDRI data-an
analysis based on the procedure outlined in Proc. SPIE 4375, 241 (2001). We demonstrate
that: (a) a two-parameter Weibull model, including the area-scaling principle, applies; (b) the
shape parameter (m is asymptotically equal to 10) is essentially independent of the stressed area as well as the surface
finish; (c) the characteristic strength (1-cm2 uniformly stressed area) obeys a linear law, σC(in
MPa) is asymptotically equal to 160 - 2.83x PBS®(in ppm/sr), where PBS® measures the surface/subsurface "damage."
In this light, we evaluate the cumulative failure probability of optically polished and superpolished
fused Si02 windows as a function of the biaxial tensile stress, for uniformly stressed areas ranging
from 0.3 to 100 cm2.
Paper Details
Date Published: 27 April 2009
PDF: 13 pages
Proc. SPIE 7302, Window and Dome Technologies and Materials XI, 730210 (27 April 2009); doi: 10.1117/12.817714
Published in SPIE Proceedings Vol. 7302:
Window and Dome Technologies and Materials XI
Randal W. Tustison, Editor(s)
PDF: 13 pages
Proc. SPIE 7302, Window and Dome Technologies and Materials XI, 730210 (27 April 2009); doi: 10.1117/12.817714
Show Author Affiliations
Claude A. Klein, C.A.K. Analytics, Inc. (United States)
Published in SPIE Proceedings Vol. 7302:
Window and Dome Technologies and Materials XI
Randal W. Tustison, Editor(s)
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