Fatigue Reliability Assessment of an Automobile Coil Spring under Random Strain Loads Using Probabilistic Technique

Manouchehrynia, R.; Abdullah, Shahrum; Singh, Salvinder Singh Karam

doi:10.3390/met10010012

Cited by 13 publications

(7 citation statements)

References 44 publications

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“…The average plastic strain per cycle was symbolized by PS . The fatigue exponent and the ductility coefficient are denoted by M and U , respectively 28 , 29 . …”

Section: Methodsmentioning

confidence: 99%

Reliability modeling of the fatigue life of lead-free solder joints at different testing temperatures and load levels using the Arrhenius model

Hani

Athamneh

Abueed

et al. 2023

Sci Rep

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Reliability of the microelectronic interconnection materials for electronic packages has a significant impact on the fatigue properties of the electronic assemblies. This is due to the correlation between solder joints reliability and the most frequent failure modes seen in electronic devices. Due to their superior mechanical and fatigue properties, SAC alloys have supplanted Pb-solder alloys as one of the most commonly used solder materials used as interconnection joints on electronic packages. The main aim of this study is to develop a prediction model of the fatigue life of the solder joints as a function of the experimental conditions. Using a customized experimental setup, an accelerated fatigue shear test is applied to examine the fatigue life of the individual SAC305 solder joints at actual setting conditions. OSP surface finish and solder mask defined are used in the studied test vehicle. The fatigue test includes three levels of stress amplitude and four levels of testing temperature. A two-parameter Weibull distribution is used for the reliability analysis for the fatigue life of the solder joints. A stress–strain curve is plotted for each cycle to construct the hysteresis loop at each cyclic load and testing temperature. The acquired hysteresis loop is used to estimate the inelastic work per cycle and plastic strain. The Morrow energy and Coffin Manson models are employed to describe the effects of the fatigue properties on the fatigue life of the solder joints. The Arrhenius model is implemented to illustrate the evolutions in the stress life, Morrow, and Coffin Manson equations at various testing temperatures. The fatigue life of SAC305 solder joints is then predicted using a general reliability model as a function of the stress amplitude and testing temperature.

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“…The average plastic strain per cycle was symbolized by PS . The fatigue exponent and the ductility coefficient are denoted by M and U , respectively 28 , 29 . …”

Section: Methodsmentioning

confidence: 99%

Reliability modeling of the fatigue life of lead-free solder joints at different testing temperatures and load levels using the Arrhenius model

Hani

Athamneh

Abueed

et al. 2023

Sci Rep

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show abstract

“…This method provides a full probabilistic description of Sobol' indices, whose distribution characterizes uncertainty in the sensitivity resulting from small data set size. The proposed method has been applied to many real‐world science and engineering problems, for example, material science (Bostanabad et al, 2018; X. Liu et al, 2021; Zhang, Shields, & TerMaath, 2020; Zhang et al, 2020), structural reliability (Sofi, Muscolino, & Giunta, 2020; Song, 2020; Sundar & Shields, 2019; C. Wang, Zhang, & Beer, 2018), failure and risk assessment (Guo, Yi, Fu, Huang, & Teng, 2019; Manouchehrynia, Abdullah, & Singh Karam Singh, 2020; Z. Wang & Jia, 2020), etc.…”

Section: Modern MC Methods For Uqmentioning

confidence: 99%

Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey

Zhang

2020

WIREs Computational Stats

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Uncertainty quantification (UQ) includes the characterization, integration, and propagation of uncertainties that result from stochastic variations and a lack of knowledge or data in the natural world. Monte Carlo (MC) method is a sampling‐based approach that has widely used for quantification and propagation of uncertainties. However, the standard MC method is often time‐consuming if the simulation‐based model is computationally intensive. This article gives an overview of modern MC methods to address the existing challenges of the standard MC in the context of UQ. Specifically, multilevel Monte Carlo (MLMC) extending the concept of control variates achieves a significant reduction of the computational cost by performing most evaluations with low accuracy and corresponding low cost, and relatively few evaluations at high accuracy and corresponding high cost. Multifidelity Monte Carlo (MFMC) accelerates the convergence of standard Monte Carlo by generalizing the control variates with different models having varying fidelities and varying computational costs. Multimodel Monte Carlo method (MMMC), having a different setting of MLMC and MFMC, aims to address the issue of UQ and propagation when data for characterizing probability distributions are limited. Multimodel inference combined with importance sampling is proposed for quantifying and efficiently propagating the uncertainties resulting from small data sets. All of these three modern MC methods achieve a significant improvement of computational efficiency for probabilistic UQ, particularly uncertainty propagation. An algorithm summary and the corresponding code implementation are provided for each of the modern MC methods. The extension and application of these methods are discussed in detail. This article is categorized under: Statistical and Graphical Methods of Data Analysis > Monte Carlo Methods Statistical and Graphical Methods of Data Analysis > Sampling

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“…Wang, Zhang, & Beer, 2018;B. Liu, Teng, & Huang, 2018;Sofi, Muscolino, & Giunta, 2020;Song, 2020), failure and risk assessment (Guo, Yi, Fu, Huang, & Teng, 2019;Manouchehrynia, Abdullah, & Singh Karam Singh, 2020;Z. Wang & Jia, 2020), etc.…”

Section: Multimodel Monte Carlo Extensions and Applicationsmentioning

confidence: 99%

Modern Monte Carlo Methods for Efficient Uncertainty Quantification and Propagation: A Survey

Zhang

2020

Preprint

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Fatigue Reliability Assessment of an Automobile Coil Spring under Random Strain Loads Using Probabilistic Technique

Cited by 13 publications

References 44 publications

Reliability modeling of the fatigue life of lead-free solder joints at different testing temperatures and load levels using the Arrhenius model

Reliability modeling of the fatigue life of lead-free solder joints at different testing temperatures and load levels using the Arrhenius model

Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey

Modern Monte Carlo Methods for Efficient Uncertainty Quantification and Propagation: A Survey

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