Minimum lifetime of ZERODUR® structures based on the breakage stress threshold model: a review

Hartmann, Péter

doi:10.1117/1.oe.58.2.020902

Cited by 10 publications

(10 citation statements)

References 26 publications

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“…The zero breakage probability below the threshold stress increases the prediction reliability for stress load applications tremendously. 25…”

Section: Three-parameter Weibull Distribution Characterizing Statistical and Deterministic Breakage Behaviormentioning

confidence: 99%

“…(b) Laboratory ring-on-ring setup, the specimens will lie on the support ring while stress is being introduced with the upper five times smaller load ring. 25 on n exponentially, different values lead to huge differences in prediction calculations. Loading brittle materials in vacuum reduces fatigue tremendously compared with normal humidity air.…”

Section: Fatigue With Long-term Loadsmentioning

confidence: 99%

“…Note the strongly non-linear shift between the values obtained with the laboratory tests with time to breakage of seconds to the long-term values. Equations ( 2) and (3) allow predicting the empirical minimum lifetime t B;c for a given constant stress value σ B;c , or calculating the allowable maximum constant stress σ B;c for a required minimum lifetime t B;c : 24,25 E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 0 2 ; 1 1 6 ; 2 1 2…”

Section: Minimum Lifetime For Constant Loadsmentioning

confidence: 99%

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Glass ceramic ZERODUR®: Even closer to zero thermal expansion: a review, part 2

Hartmann

Jedamzik

Carré

et al. 2021

J. Astron. Telesc. Instrum. Syst.

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Observational astronomy has sought better telescopes with higher resolution from its beginning. This needs ever-larger mirrors with stable, high-precision surfaces. The extremely low-expansion glass ceramic ZERODUR ® has enabled such mirrors for more than 50 years with significant improvements in size and quality since then. We provide a survey of the progress achieved in the last 15 years. Equally important as the thermal expansion coefficient CTE is its homogeneity. The CTE variation in 4-m mirror blanks lies below 5 ppb∕K in radial and axial directions on large and short scales. Improved measurement capabilities allow reduced bias, which in the past made variations look greater than they were. Isotropy and uniformity of ZERODUR are outstanding. A method for lifetime calculation increases reliability considerably with respect to mechanical loads. The production and metrology capability and capacity are greatly extended. Surface figure and texture of large blanks allow starting directly with polishing. Filigree structures with up to 90% weight reduction are well-suited for space mirrors. The progress with low thermal expansion and its measurement, the insensitivity of ZERODUR against ionizing radiation in space, and outstanding application examples are presented in the first part of our review. © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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“…The zero breakage probability below the threshold stress increases the prediction reliability for stress load applications tremendously. 25…”

Section: Three-parameter Weibull Distribution Characterizing Statistical and Deterministic Breakage Behaviormentioning

confidence: 99%

Section: Fatigue With Long-term Loadsmentioning

confidence: 99%

Section: Minimum Lifetime For Constant Loadsmentioning

confidence: 99%

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Glass ceramic ZERODUR®: Even closer to zero thermal expansion: a review, part 2

Hartmann

Jedamzik

Carré

et al. 2021

J. Astron. Telesc. Instrum. Syst.

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“…Peter Hartmann [10,11] has conducted and published extensive experiments on the breakage stress and lifetime of ZERODUR ® . These are summarized in Figure 9.…”

Section: Mirror Substrates For Strength and Lifetimementioning

confidence: 99%

“…We reference material alternates to the space heritage material ZERODUR ® , since ZERODUR ® has been extensively characterized with results published by SCHOTT [2][3][4][5][6][7][8][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Material attributes that define performance and efficiency of spaceborne mirrors

Hull¹,

Krieg²,

Jedamzik³

et al. 2021

International Conference on Space Optics — ICSO 2020

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In addition to the classical parameters used for mirror substrate material selection, we discuss several other attributes critical to implementation of spaceborne mirrors for various environments. Often trades are either limited to the material and approach the designer has used in the past, whether or not it is optimum for the application, or are based on primary factors like specific stiffness and transient response. We look further at mission-critical attributes, including fracture mechanics, temporal drifts, deterministic implementation to design, inhomogeneity, anisotropy, polishability, compatibility with advanced coatings, and space heritage. We extend these considerations into discussion of increasing emphasis on designing to cost, available sizes and possible delivery timescales.

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Habitable-Zone Exoplanet Observatory baseline 4-m telescope: systems-engineering design process and predicted structural thermal optical performance

Stahl

Kuan

Arnold

et al. 2020

J. Astron. Telesc. Instrum. Syst.

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The Habitable-Zone Exoplanet Observatory Mission (HabEx) is one of four large missions under review for the 2020 astrophysics decadal survey. Its goal is to directly image and spectroscopically characterize planetary systems in the habitable zone around nearby Sun-like stars. In addition, HabEx will perform a broad range of general astrophysics science enabled by a 115-to 1700-nm spectral range and 3 × 3 arcminute field of view. Critical to achieving its science goals, HabEx requires a large, ultrastable UV/optical/near-IR telescope. Using sciencedriven systems engineering, HabEx specified its baseline telescope to be a 4-m off-axis, unobscured three-mirror anastigmatic architecture with diffraction-limited performance at 400 nm, and wavefront stability on the order of a few tens of picometers. We summarize the systems-engineering approach to the baseline telescope assembly's optomechanical design, including a discussion of how science requirements drive the telescope's specifications. We also present structural thermal optical performance analysis showing that the baseline telescope structure meets its specified tolerances. We report new and updated analysis that is not in the HabEx final report. © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Minimum lifetime of ZERODUR® structures based on the breakage stress threshold model: a review

Cited by 10 publications

References 26 publications

Glass ceramic ZERODUR®: Even closer to zero thermal expansion: a review, part 2

Glass ceramic ZERODUR®: Even closer to zero thermal expansion: a review, part 2

Material attributes that define performance and efficiency of spaceborne mirrors

Habitable-Zone Exoplanet Observatory baseline 4-m telescope: systems-engineering design process and predicted structural thermal optical performance

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