journal article·2019-01

A new probability model of residual strength of material based on interference theory

Jianxiong Gao, Zongwen An

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Abstract

Abstract The strength degradation rule of material under constant amplitude cyclic loading is critical to fatigue life prediction and reliability assessment of material. In this study, the disadvantages of the existing phenomenological residual strength models are analyzed and discussed, and a new probability model of residual strength of material is proposed based on interference theory. Firstly, the loading times—fatigue life (LT—FL) interference model and the cyclic stress—residual strength (CS—RS) interference model are respectively established based on Weibull distribution. Then, a new probability model of residual strength is derived based on the equivalence between LT—FL and CS—RS interference models. Finally, the fatigue test data of unidirectional carbon/epoxy composites are used to verify the validity of the proposed model. Compared with the existing phenomenological residual strength models, the proposed model is derived from theoretical deduction and it can be easily established only through fatigue life data of material, while the existing phenomenological residual strength models are usually derived from subjective experiences and the establishment of these models generally requires a variety of experimental data of material.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Fatigue and fracture mechanics · Mechanical Behavior of Composites · Probabilistic and Robust Engineering Design

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (37)

Show source-provided references
1. Fatigue reliability based on residual strength model with hybrid uncertain parameters10.1007/s10409-011-0536-7 ↗
2. Peridynamics for fatigue life and residual strength prediction of composite laminates10.1016/j.compstruct.2016.10.010 ↗
3. Lognormal distribution-model for fatigue life and residual strength of composite materials10.1109/TR.1986.4335440 ↗
4. A new coupled approach of residual stiffness and strength for fatigue of fibre-reinforced composites10.1016/S0142-1123(01)00194-3 ↗
5. Fatigue reliability analysis of composites based on residual strength10.1163/156855106778835212 ↗
6. Modeling the residual strength of carbon fiber reinforced composites subjected to cyclic loading10.1016/j.ijfatigue.2015.03.012 ↗
7. Castillo · 2005
8. Residual strength after fatigue in composites: theory vs. experiment10.1016/j.ijfatigue.2007.01.019 ↗
9. Life prediction methodology for composite structures. Part I-Constant amplitude and two-stress level fatigue10.1177/002199839703100202 ↗
10. A new cumulative fatigue damage model for fibre-reinforced plastics10.1016/S0266-3538(99)00100-1 ↗
11. Advances in stochastic theory of fatigue damage accumulation
12. A fatigue model with local sensitivity analysis10.1111/j.1460-2695.2006.01099.x ↗
13. Residual strength prediction of composite materials: random spectrum loading10.1016/j.engfracmech.2007.03.002 ↗
14. A general model for fatigue damage due to any stress history10.1016/j.ijfatigue.2007.02.011 ↗
15. Modifications of the Weibull distribution: a review10.1016/j.ress.2013.11.010 ↗
16. Specimen length effect on parameter estimation in modelling fatigue strength by Weibull distribution10.1016/j.ijfatigue.2005.11.006 ↗
17. A general regression model for lifetime evaluation and prediction10.1023/A:1007624803955 ↗
18. Xie · 2012
19. Castillo · 2009
20. Constant stress accelerated life test model and its application—Weibull distribution
21. Probability of fatigue failure based on residual strength10.1016/B978-0-08-022140-3.50066-5 ↗
22. An analysis model of probability distribution of crack initiation life for widespread fatigue damage
23. Schijve · 2009
24. A statistically load-weighted probabilistic fatigue life model10.4028/www.scientific.net/AMR.44-46.51 ↗
25. Interference theory of reliability: a review10.1007/s13198-013-0162-9 ↗
26. Backwards statistical inference method for P-S–N curve fitting with small-sample experiment data10.1016/j.ijfatigue.2014.01.006 ↗
27. A discrete stress-strength interference model with stress dependent strength10.1109/TR.2008.2006289 ↗
28. Castillo E, Fernández-Canteli A, Esslinger V, Thüurlimann B. Statistical models for fatigue analysis of wires, strands and cables. In: IABSE Proceedings. vol. 82. 1985. p. 1–40.
29. On Fitting a fatigue model to data10.1016/S0142-1123(98)00048-6 ↗
30. Probabilistic fatigue life prediction approach for multi-site damage components
31. LV X. Study on fatigue reliability model and evaluation method of complex structures
32. A new approach to fatigue analysis in composites based on residual strength degradation10.1016/S0263-8223(99)00093-8 ↗
33. Investigation of residual strength degradation of 35CrMo steel
34. A review of advances in fatigue and life prediction of fiber-reinforced composites
35. Fatigue damage modeling of fibre-reinforced composite materials: review10.1115/1.1381395 ↗
36. Study on fatigue life data of composite materials
37. Guo · 2007