A generalized Gompertz model of reliability-dependent hazard rate for composites under cyclic stresses

Autor: Chen Chung-Ling, Wang Kuo-Shong
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Science and Engineering of Composite Materials, Vol 19, Iss 1, Pp 81-88 (2012)
Druh dokumentu: article
ISSN: 0792-1233
2191-0359
DOI: 10.1515/secm.2011.0068
Popis: This study aims to investigate the relation of hazard rate in terms of the corresponding reliability for composite laminates under constant-amplitude cyclic stresses when the static strength is described by the Weibull distribution and the S-N curve is given. On the basis of the strength-life equal rank assumption, Yang’s residual strength degradation model is considered to derive the reliability by retrieving the residual strengths to the initials. Thus, a reliability-dependent hazard rate function is proposed as h(R)=eg+μ(-ln R)ξ, where eg denotes the intrinsic weakness of composites during fabrication, μ the hazard scaling parameter, and ξ the curve trend parameter. Parameter eg can be assumed as a very small positive value. Both ξ and μ are connected to the shape parameter of the Weibull static strength distribution and the parameter of fatigue life distribution, and μ is correlated to a power function of the applied maximum cyclic stress. The proposed model can be reduced to either the Gompertz model as ξ=1 or the Weibull model when eg=0 and ξ
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