Because solder joint interconnections are the weaknesses of microelectronic packaging, their reliability has great influence on the reliability of the entire packaging structure. Based on an accelerated life test the reliability assessment and life prediction of lead-free solder joints using Weibull distribution are investigated. The type-I interval censored lifetime data were collected from a thermal cycling test, which was implemented on microelectronic packaging with lead-free ball grid array (BGA) and fine-pitch ball grid array (FBGA) interconnection structures. The number of cycles to failure of lead-free solder joints is predicted by using a modified Engelmaier fatigue life model and a type-I censored data processing method. Then, the Pan model is employed to calculate the acceleration factor of this test. A comparison of life predictions between the proposed method and the ones calculated directly by Matlab and Minitab is conducted to demonstrate the practicability and effectiveness of the proposed method. At last, failure analysis and microstructure evolution of lead-free solders are carried out to provide useful guidance for the regular maintenance, replacement of substructure, and subsequent processing of electronic products.

/pdf/thermal-cycling-life-prediction-of-sn-3-0ag-0-5cu-solder-vbnq7qkltb.pdf

Thermal Cycling Life Prediction of Sn-3.0Ag-0.5Cu Solder Joint Using Type-I Censored Data

Because the traditional maintenance method of seawalls suffers from problems of insufficient maintenance support ability and significant waste of resources, there is an urgent need to establish a scientific management system for seawalls. Therefore, advanced prognostics and health management (PHM) technology was introduced into seawalls, structure of the seawall PHM system was set up, and the health assessment model and the maintenance decision model of the seawall PHM system were studied. Combining the characteristics of seawalls and high-frequency monitoring information, the seawall health assessment indexes were selected and the weights of health assessment indexes were calculated by projection pursuit model. Then, the health assessment model was set up using fuzzy comprehensive assessment method. The Weibull proportional hazard model was used to link the health state, running time, and failure rate of the seawall. Using maximum availability as the decision objective, the maintenance decision model was established base on the Weibull proportional hazard model. The example analysis shows that the health assessment model can assess seawall health effectively and the maintenance decision model can make correct maintenance decisions in a timely fashion based on the seawall health state.

Health Assessment Model and Maintenance Decision Model for Seawall Prognostics and Health Management System

http://koreascience.or.kr:80/article/JAKO201625059045622.pdf

A Comparison of the Reliability Estimation Accuracy between Bayesian Methods and Classical Methods Based on Weibull Distribution

The Weibull is widely used in reliability analysis, and several studies have attempted to improve estimation of the distribution’s parameters. least squares estimation (LSE) or Maximum likelihood estimation (MLE) are often used to estimate distribution parameters. However, it has been proven that Bayesian methods are more suitable for small sample sizes than LSE and MLE. In this work, the Weibull parameter estimation accuracy of LSE, MLE, and Bayesian method are compared for sample sets with 3 to 30 data points. The Bayesian method was most accurate for sample sizes under 25, and the accuracy of the Bayesian method was similar to LSE and MLE as the sample size increased.

와이블분포 하에서 베이지안 기법과 전통적 기법 간의 신뢰도 추정 정확도 비교 / A Comparison of the Reliability Estimation Accuracy between Bayesian Methods and Classical Methods Based on Weibull Distribution

The method and effects of extracting information from different fatigue test data were analyzed and compared according to the test data in engineering in this paper. By probability statistical analysis, the life data of ignored censored data were collected and analyzed to fit the distribution types and P–S–N curves. Otherwise, the life data including censored data were estimated by maximum likelihood estimation and K–S test. It is shown that the practice of simply ignoring censored data will underestimate the fatigue performance of the test sample in different degrees after analysis and comparison of the two results. Therefore, according to different types of test data, the influence of censored data should be considered fully in order to select the appropriate treatment method. Censored data in engineering usually should not be ignored.

Study on Processing Method and Engineering Application of Censored Data

Based on random censored data, the maximum likelihood estimation method of parameters of the weibull distribution is put forward. By the parameters estimation, the reliability analysis of the engineering data of rocket engine trials is given. The estimation values of shape parameters and reliability analysis show that the method is feasible.

Maximum likelihood estimation of weibull distribution based on random censored data and its application

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Maximum likelihood estimation of weibull distribution based on random censored data and its application