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

作者：Chen Chung Ling; Wang Kuo Shong^*

来源：Science and Engineering of Composite Materials, 2012, 19(1): 81-88.

DOI：10.1515/SECM.2011.0068

• Gompertz model
• Monte Carlo simulation
• residual strength
• strength-life equal rank assumption
• Weibull model

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%26apos;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) = e(g) + mu(-ln R)(xi), where e(g) denotes the intrinsic weakness of composites during fabrication, mu the hazard scaling parameter, and. the curve trend parameter. Parameter e(g) can be assumed as a very small positive value. Both xi and mu are connected to the shape parameter of the Weibull static strength distribution and the parameter of fatigue life distribution, and mu is correlated to a power function of the applied maximum cyclic stress. The proposed model can be reduced to either the Gompertz model as xi = 1 or the Weibull model when e(g) = 0 and xi %26lt; 1. It has been verified that the proposed model agrees well with the fatigue data of composites under cyclic stresses as well as with various failure data of mechanical components.

• 出版日期2012-3
• 单位中央民族大学