A failure-dependence related stochastic crack growth modeling approach of competing cracking mode

IF 5 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics Pub Date : 2024-09-15 DOI:10.1016/j.tafmec.2024.104680

Shuowen Wang , Wei Li , Chuanwen Sun , Gang Liu , Asif Mahmood , Zhenduo Sun

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引用次数: 0

Abstract

Competing crack-induced fatigue fracture has been a typical failure mode especially in the very high cycle fatigue regime. However, the stochastic crack growth modeling related to failure-dependence has not been fully investigated. Here, a failure-dependence related stochastic crack growth modeling approach for competing cracking mode is proposed to address this issue. Firstly, copulas are used to model the dependent competing relationships among multiple fatigue fracture modes. The reliability analysis of multiple fatigue fracture modes is conducted from a copula perspective. Besides, the fatigue crack growth is modeled based on a nonlinear Wiener process, with unit-to-unit variability addressed by introducing random effects. Marginal reliability expressions are derived based on the Wiener process. Furthermore, a two-stage Bayesian inference method based on Hamiltonian Monte Carlo sampling is proposed to estimate model parameters. A Monte Carlo simulation study is conducted to validate the accuracy and robustness of the proposed inference method. Finally, the effectiveness of the proposed approach is proven through a real case study. It turns out that the ignorance of the competing relationships among multiple cracking modes leads to an underestimation of overall reliability. The accuracy of the model can be further improved with random effects considered.

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与失效相关的竞争开裂模式随机裂纹生长建模方法

竞争裂纹引起的疲劳断裂是一种典型的失效模式，尤其是在高循环疲劳状态下。然而，与失效依赖性相关的随机裂纹生长模型尚未得到充分研究。为了解决这个问题，本文提出了一种与失效依赖性相关的竞争开裂模式随机裂纹生长建模方法。首先，使用 copulas 对多种疲劳断裂模式之间的依赖竞争关系进行建模。从 copula 角度对多种疲劳断裂模式进行可靠性分析。此外，疲劳裂纹增长是基于非线性维纳过程建模的，通过引入随机效应解决了单位间的变异性问题。根据维纳过程推导出边际可靠性表达式。此外，还提出了一种基于汉密尔顿蒙特卡洛抽样的两阶段贝叶斯推理方法来估计模型参数。通过蒙特卡罗模拟研究，验证了所提推理方法的准确性和稳健性。最后，通过实际案例研究证明了所提方法的有效性。结果表明，由于不了解多种开裂模式之间的竞争关系，导致低估了整体可靠性。如果考虑随机效应，模型的准确性还能进一步提高。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Applied Fracture Mechanics 工程技术-工程：机械

CiteScore

8.40

自引率

18.90%

发文量

435

审稿时长

37 days

期刊介绍： Theoretical and Applied Fracture Mechanics'' aims & scopes have been re-designed to cover both the theoretical, applied, and numerical aspects associated with those cracking related phenomena taking place, at a micro-, meso-, and macroscopic level, in materials/components/structures of any kind. The journal aims to cover the cracking/mechanical behaviour of materials/components/structures in those situations involving both time-independent and time-dependent system of external forces/moments (such as, for instance, quasi-static, impulsive, impact, blasting, creep, contact, and fatigue loading). Since, under the above circumstances, the mechanical behaviour of cracked materials/components/structures is also affected by the environmental conditions, the journal would consider also those theoretical/experimental research works investigating the effect of external variables such as, for instance, the effect of corrosive environments as well as of high/low-temperature.