Probabilistic Life Prediction for High Temperature Low Cycle Fatigue Using Energy-Based Damage Parameter and Accounting for Model Uncertainty

Author(s):  
Shun-Peng Zhu ◽  
Hong-Zhong Huang ◽  
Victor Ontiveros ◽  
Li-Ping He ◽  
Mohammad Modarres

Probabilistic methods have been widely used to account for uncertainty from various sources to predict fatigue life for components or materials. The Bayesian approach can potentially give more accurate estimates by combining test data with technical knowledge available from theoretical analyses and/or previous experimental results. The aim of the present paper is to develop a probabilistic methodology for high temperature low cycle fatigue life prediction using an energy-based damage parameter and to demonstrate the use of an efficient probabilistic method. Accordingly, a Black-box approach is used to quantify model uncertainty for three damage parameters (the generalized damage parameter, SWT and plastic strain energy density (PSED)) using measured differences between experimental data and model predictions. The proposed model was verified using experimental data for nickel-base Superalloy GH4133 under different temperatures from literature. The results show that the uncertainty bounds using the generalized damage parameter for life prediction are tighter than that of SWT and PSED methods, which leads to better decision making based on the same available knowledge.

2011 ◽  
Vol 21 (8) ◽  
pp. 1128-1153 ◽  
Author(s):  
Shun-Peng Zhu ◽  
Hong-Zhong Huang ◽  
Victor Ontiveros ◽  
Li-Ping He ◽  
Mohammad Modarres

Probabilistic methods have been widely used to account for uncertainty of various sources in predicting fatigue life for components or materials. The Bayesian approach can potentially give more complete estimates by combining test data with technological knowledge available from theoretical analyses and/or previous experimental results, and provides for uncertainty quantification and the ability to update predictions based on new data, which can save time and money. The aim of the present article is to develop a probabilistic methodology for low cycle fatigue life prediction using an energy-based damage parameter with Bayes’ theorem and to demonstrate the use of an efficient probabilistic method, moreover, to quantify model uncertainty resulting from creation of different deterministic model parameters. For most high-temperature structures, more than one model was created to represent the complicated behaviors of materials at high temperature. The uncertainty involved in selecting the best model from among all the possible models should not be ignored. Accordingly, a black-box approach is used to quantify the model uncertainty for three damage parameters (the generalized damage parameter, Smith–Watson–Topper and plastic strain energy density) using measured differences between experimental data and model predictions under a Bayesian inference framework. The verification cases were based on experimental data in the literature for the Ni-base superalloy GH4133 tested at various temperatures. Based on the experimentally determined distributions of material properties and model parameters, the predicted distributions of fatigue life agree with the experimental results. The results show that the uncertainty bounds using the generalized damage parameter for life prediction are tighter than that of Smith–Watson–Topper and plastic strain energy density methods based on the same available knowledge.


Metals ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 489
Author(s):  
Yuanming Xu ◽  
Hao Chen ◽  
Shuming Zhang ◽  
Tianpeng He ◽  
Xuerong Liu ◽  
...  

The applicability of both prediction methods for low-cycle fatigue life of powder superalloy based on the Manson-Coffin equation and damage mechanics were addressed. Both fatigue life prediction models were evaluated by low-cycle fatigue experimental data of powder superalloy FGH96 with non-destructive standard parts and those with inclusions. Due to the characteristics of high strength and low plasticity of powder superalloy FGH96, errors in calculating the plastic strain amplitude deviate severely the prediction outcomes when using Manson-Coffin method. Meanwhile, by introducing the damage variable which characterizes the material damage, the damage evolution equation can be built by fitting the experimental data of standard parts and also applied to powder superalloy specimens containing inclusion. It is indispensable to accurately calculate the damage characterization parameter through finite element analysis in local stress concentration around the inclusion. The applicability of the prediction model was verified by the test life cycles of experimental specimens with different types and sizes of inclusions subsequently. Testing and simulation work showed much better prediction accuracies globally for the damage mechanics approach.


Author(s):  
Shun-Peng Zhu ◽  
Rui Sun ◽  
Hong-Zhong Huang ◽  
Ming J. Zuo

Based on ductility exhaustion theory and the generalized damage parameter, a new viscosity-based life prediction model is put forward to account for creep and mean strain or stress effects in a low cycle fatigue regime. The mechanisms of loading waveform and cyclic hardening effects are also taken into account within this model. It assumes that damage accrues by means of viscous flow and ductility consumption relates only to plastic strain and creep strain under high temperature low cycle fatigue conditions. The proposed model provides a better prediction on the fatigue behaviors of Superalloy GH4133 than the Goswami’s ductility model and the generalized damage parameter. Compared with the proposed model and the generalized damage parameter, the Goswami’s model cannot properly account for creep and mean stress effects on the low cycle fatigue life. Under non-zero mean strain conditions, the proposed model provides more accurate predictions of GH4133 Superalloy than that with zero mean strains.


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