A Stress-Strength Interference Model with Strength Degradation Following a Gamma Process

Jian Cheng Shen; Li Mei Liu; Ai Sheng Jiao; Xiang Bin Yi

doi:10.4028/www.scientific.net/AMR.945-949.1196

Paper Titles

Research of Unloading Technology of Defect Method in Dynamic Pressure Roadway
p.1175

Shock-Resistance Research of Ship Structural Subjected to Underwater Explosion
p.1180

Study of the Precursory Rules of a Deformation Localization of Coal Specimens
p.1185

The Three-Dimensional Similar Simulation of Stress Regular Pattern of Roof of Large Mining Height
p.1190

A Stress-Strength Interference Model with Strength Degradation Following a Gamma Process
p.1196

Rigid Joints Transferring Forces outside Box Columns with Deviation of Column's Verticality - Finite Element Method Simulation
p.1201

The Modal Analysis with Finite Element Method for Body Section of EBZ160 Roadheader
p.1207

Thin-Walled Cross-Sections and their Joints: Tests and FEM-Modelling
p.1211

Topology Optimization Design of Pre-Stressed Plane Entity Steel Structure with the Constrains of Stress and Displacement
p.1216

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 945-949A Stress-Strength Interference Model with Strength...

A Stress-Strength Interference Model with Strength Degradation Following a Gamma Process

Abstract:

Stress-strength interference model has been widely used for reliability analysis of structures.Strength degradation of a structure is a common phenomenon in engineering. To evaluate the structure reliability in the case of strength degradation over time, the strength degradation is represented by a gamma process and the stress applied on a structure is represented by the Poisson process in this paper. Then a time-dependent stress-strength interference model is suggested by employing numerical integration method. With this model, the structure reliability can be evaluated more accurately.

You might also be interested in these eBooks

Advances in Manufacturing Science and Engineering V

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 945-949)

Pages:

1196-1200

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.945-949.1196

Citation:

Cite this paper

Online since:

June 2014

Authors:

Jian Cheng Shen*, Li Mei Liu, Ai Sheng Jiao, Xiang Bin Yi

Keywords:

Gamma Process, Poisson Process, Strength Degradation, Stress-Strength Interference

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] K. Shen, An empirical approach to obtaining bounds on the failure probability through stress/strength interference, Reliab Eng Syst Safety, vol. 36, no. 1, p.79–84, (1992).

DOI: 10.1016/0951-8320(92)90156-f

Google Scholar

[2] S. Guo and T. Y. Liu, Reliability bounds determined by improved Monte Carlo method for stress-strength interference system, Chinese J. Mech. Eng, vol. 33, no. 3, p.93–98, (1994).

Google Scholar

[3] J. D. Wang and T. S. Liu, Fuzzy reliability using a discrete stress-strength interference model, IEEE Trans Reliab, vol. 45, no. 1, p.145–149, (1996).

DOI: 10.1109/24.488933

Google Scholar

[4] S. Kotz, Y. Lumelskii, and M. Pensky, The stress-strength model and its generalizations. Singapore: World Scientific, (2003).

DOI: 10.1142/9789812564511

Google Scholar

[5] Z. W. An, H. Z. Huang, and Y. Liu, A discrete stress-strength interference model based on universal generating function, Reliab Eng Syst Safety (2007), doi: 10. 1016/j. ress. 2007. 09. 011.

Google Scholar

[6] E. E. Lewis and Hsin-Chieh Chen, Load-capacity interference and the bathtub curve, IEEE Trans Reliab, vol. 43, no. 3, p.470–475, (1994).

DOI: 10.1109/24.326448

Google Scholar

[7] J. Xue and K. Yang, Upper & lower bounds of stress-strength interference reliability with random strength-degradation, IEEE Trans Reliab, vol. 46, no. 1, p.142–145, (1997).

DOI: 10.1109/24.589940

Google Scholar

[8] W. Huang and Ronald G. Askin, Generalized SSI reliability model considering stochastic loading and strength aging degradation, IEEE Trans Reliab, vol. 53, no. 1, p.77–82, (2004).

DOI: 10.1109/tr.2004.823847

Google Scholar

[9] J.M. van Noortwijk, J.A.M. van der Weide, M.J. Kallen, and M.D. Pandey, Gamma processes and peaks-over-threshold distributions for time-dependent reliability, Reliab Eng Syst Safety, vol. 92, no. 12, p.1651–1658, (2007).

DOI: 10.1016/j.ress.2006.11.003

Google Scholar