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基于临界域能量守恒的缺口板高周疲劳损伤双尺度模型研究

RESEARCH ON THE TWO-SCALE MODEL OF HIGH-CYCLE FATIGUE DAMAGE OF NOTCHED PLATES BASED ON ENERGY CONSERVATION IN THE CRITICAL DOMAIN

  • 摘要: 目前主流的金属缺口件高周疲劳损伤评估理论集中于宏观唯象范畴,较少涉及微细观尺度描述. 高周疲劳过程宏观表现为弹性响应,如何在表征缺口效应影响的同时考虑晶粒尺度的微塑性累积对疲劳损伤的促进行为,是一个具有工程实际意义的问题. 以金属缺口板为研究对象,在缺口根部定义临界域范围,并计及内禀微塑性耗散和内禀损伤耗散,建立一种临界域能量守恒关系. 基于细观塑性理论和尺度过渡准则,以Lin-Taylor假设作为桥梁,借助临界面方法提出一种体积平均假设,实现细观微塑性耗散的宏观表征. 基于连续介质损伤力学理论,表征临界域内禀损伤耗散行为. 以单个载荷循环为广义时间,建立一种新的双尺度损伤演化模型,并通过ABAQUS实现缺口件加载,编写UMAT子程序嵌入计算损伤参量. 最后借助6种航空金属材料在不同缺口和加载工况下的实验数据和4种经典模型,与所建新模型进行比较分析,结果表明新模型具有较好的预测效果. 本研究旨在进一步丰富金属疲劳损伤多尺度分析理论体系,赋予疲劳评估模型更明确的工程应用与物理意义.

     

    Abstract: The prevailing theories for evaluating high-cycle fatigue damage in metallic notched components primarily focus on macroscopic phenomenological frameworks, with limited attention to descriptions at micro- and meso-scales. Elastic responses macroscopically characterize high-cycle fatigue, yet understanding how to account for the influence of notch effects while simultaneously considering the promotion of fatigue damage due to microplastic accumulation at the grain scale remains a significant challenge with practical engineering implications. Taking metallic notched plates as the research object, this study defines a critical domain at the notch root and establishes a critical domain energy conservation relationship by incorporating intrinsic microplastic dissipation and intrinsic damage dissipation. Based on mesoplasticity theories and scale transition criteria, the Lin-Taylor assumption is employed as a bridging mechanism, and a critical plane method is utilized to propose a volumetric averaging hypothesis, thereby achieving a macroscopic representation of microscale plastic dissipation. The theory of continuum damage mechanics describes the intrinsic damage dissipation behavior within the critical domain. With a single loading cycle treated as generalized time, a novel two-scale damage evolution model is developed. This model is implemented in ABAQUS through UMAT subroutine programming to calculate damage parameters under loading conditions for notched components. Finally, experimental data from six aerospace-grade metallic materials under various notch geometries and loading conditions, as well as comparisons with four classic models, are employed to validate and analyze the proposed model. The results demonstrate that the new model provides superior predictive performance. This research aims to further enrich the theoretical framework of multiscale analysis for metallic fatigue damage, endowing fatigue evaluation models with clearer engineering applicability and physical significance.

     

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