Failure of fiber bundles with local load sharing

Shu-Dong Zhang; E.J. Ding

Failure of fiber bundles with local load sharing

Shu-Dong Zhang, E.J. Ding

Research output: Contribution to journal › Article

Abstract

We develop a recursion-relation approach for calculating the failure probabilities of a fiber bundle with local load sharing. This recursion relation is exact, so it provides a way to test the validity of the various approximate methods. Applying the exact calculation to uniform and Weibull threshold distributions, we find that the most probable failure load coincides with the average strength as the size of the system N --> infinity.

Original language	English
Pages (from-to)	646-654
Number of pages	9
Journal	Physical Review B (Condensed Matter)
Volume	53
Publication status	Published - 1996

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title = "Failure of fiber bundles with local load sharing",

abstract = "We develop a recursion-relation approach for calculating the failure probabilities of a fiber bundle with local load sharing. This recursion relation is exact, so it provides a way to test the validity of the various approximate methods. Applying the exact calculation to uniform and Weibull threshold distributions, we find that the most probable failure load coincides with the average strength as the size of the system N --> infinity.",

author = "Shu-Dong Zhang and E.J. Ding",

year = "1996",

language = "English",

volume = "53",

pages = "646--654",

journal = "Physical Review B (Condensed Matter)",

issn = "0163-1829",

publisher = "American Institute of Physics Publising LLC",

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T1 - Failure of fiber bundles with local load sharing

AU - Zhang, Shu-Dong

AU - Ding, E.J.

PY - 1996

Y1 - 1996

N2 - We develop a recursion-relation approach for calculating the failure probabilities of a fiber bundle with local load sharing. This recursion relation is exact, so it provides a way to test the validity of the various approximate methods. Applying the exact calculation to uniform and Weibull threshold distributions, we find that the most probable failure load coincides with the average strength as the size of the system N --> infinity.

AB - We develop a recursion-relation approach for calculating the failure probabilities of a fiber bundle with local load sharing. This recursion relation is exact, so it provides a way to test the validity of the various approximate methods. Applying the exact calculation to uniform and Weibull threshold distributions, we find that the most probable failure load coincides with the average strength as the size of the system N --> infinity.

M3 - Article

VL - 53

SP - 646

EP - 654

JO - Physical Review B (Condensed Matter)

JF - Physical Review B (Condensed Matter)

SN - 0163-1829

ER -