Stochastic approach to the fatigue reliability

Yuan Jie Lua; Wing Kam Liu; Ted Belytschko

Stochastic approach to the fatigue reliability

Yuan Jie Lua^*, Wing Kam Liu, Ted Belytschko

^*Corresponding author for this work

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, the stochastic approach, which combines the mixed boundary integral equation method (Lua et al (1992a)) with the First Order Reliability Method (FORM), is applied to study probabilistic fatigue crack growth. The direct differentiation coupled with the response-surface method is employed to determine the response gradient. The sensitivity of random processes presented in the response gradient is determined using the first order response model. The HL-RF iteration method is applied to locate the most probable failure point on the limit state surface. The accuracy and efficiency of the present approach are demonstrated through a fatigue crack growth problem with randomness in the crack geometry, defect geometry, fatigue parameters and external loads.

Original language	English (US)
Title of host publication	Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference
Publisher	Publ by ASCE
Pages	324-327
Number of pages	4
ISBN (Print)	0872628736
State	Published - Dec 1 1992
Event	Proceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability - Denver, CO, USA Duration: Jul 8 1992 → Jul 10 1992

Other

Other	Proceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability
City	Denver, CO, USA
Period	7/8/92 → 7/10/92

ASJC Scopus subject areas

Engineering(all)

Cite this

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title = "Stochastic approach to the fatigue reliability",

abstract = "In this paper, the stochastic approach, which combines the mixed boundary integral equation method (Lua et al (1992a)) with the First Order Reliability Method (FORM), is applied to study probabilistic fatigue crack growth. The direct differentiation coupled with the response-surface method is employed to determine the response gradient. The sensitivity of random processes presented in the response gradient is determined using the first order response model. The HL-RF iteration method is applied to locate the most probable failure point on the limit state surface. The accuracy and efficiency of the present approach are demonstrated through a fatigue crack growth problem with randomness in the crack geometry, defect geometry, fatigue parameters and external loads.",

author = "Lua, {Yuan Jie} and Liu, {Wing Kam} and Ted Belytschko",

year = "1992",

month = dec,

day = "1",

language = "English (US)",

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pages = "324--327",

booktitle = "Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference",

publisher = "Publ by ASCE",

note = "Proceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability ; Conference date: 08-07-1992 Through 10-07-1992",

}

Lua, YJ, Liu, WK & Belytschko, T 1992, Stochastic approach to the fatigue reliability. in Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference. Publ by ASCE, pp. 324-327, Proceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability, Denver, CO, USA, 7/8/92.

TY - GEN

T1 - Stochastic approach to the fatigue reliability

AU - Lua, Yuan Jie

AU - Liu, Wing Kam

AU - Belytschko, Ted

PY - 1992/12/1

Y1 - 1992/12/1

N2 - In this paper, the stochastic approach, which combines the mixed boundary integral equation method (Lua et al (1992a)) with the First Order Reliability Method (FORM), is applied to study probabilistic fatigue crack growth. The direct differentiation coupled with the response-surface method is employed to determine the response gradient. The sensitivity of random processes presented in the response gradient is determined using the first order response model. The HL-RF iteration method is applied to locate the most probable failure point on the limit state surface. The accuracy and efficiency of the present approach are demonstrated through a fatigue crack growth problem with randomness in the crack geometry, defect geometry, fatigue parameters and external loads.

AB - In this paper, the stochastic approach, which combines the mixed boundary integral equation method (Lua et al (1992a)) with the First Order Reliability Method (FORM), is applied to study probabilistic fatigue crack growth. The direct differentiation coupled with the response-surface method is employed to determine the response gradient. The sensitivity of random processes presented in the response gradient is determined using the first order response model. The HL-RF iteration method is applied to locate the most probable failure point on the limit state surface. The accuracy and efficiency of the present approach are demonstrated through a fatigue crack growth problem with randomness in the crack geometry, defect geometry, fatigue parameters and external loads.

UR - http://www.scopus.com/inward/record.url?scp=0026985081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026985081&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026985081

SN - 0872628736

SP - 324

EP - 327

BT - Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference

PB - Publ by ASCE

T2 - Proceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability

Y2 - 8 July 1992 through 10 July 1992

ER -

Stochastic approach to the fatigue reliability

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