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首页> 外文期刊>International Journal of Plasticity >Homogenized constitutive and fatigue nucleation models from crystal plasticity FE simulations of Ti alloys, Part 2: Macroscopic probabilistic crack nucleation model
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Homogenized constitutive and fatigue nucleation models from crystal plasticity FE simulations of Ti alloys, Part 2: Macroscopic probabilistic crack nucleation model

机译：钛合金晶体塑性有限元模拟的均质本构和疲劳成核模型，第2部分：宏观概率裂纹成核模型

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摘要

This is the second of a two-part paper aimed at the developing macroscopic models of fatigue deformation and failure in polycrystalline Ti alloys. In this part, a probabilistic crack nucleation model is developed for predicting damage nucleation in macroscopic computations of the structural components from rigorous microscopic analyzes. Inputs to this model include morphological characteristics of the microstructure at any material point along with the local stress/strain state. This stress-state, needed to trigger this model, can be obtained from finite element analysis using the homogenized, anisotropic plasticity constitutive (HAPC) model developed in part 1 (Ghosh et al.; in press). A deterministic functional form, relating time for macroscopic crack nucleation to the macroscopic stress state and microstructural characteristic parameters, is derived from rigorous crystal plasticity FE simulations of representative volume element of a bi-crystal system that implements a physics-based grain level crack nucleation model. Subsequently, a probabilistic model for expected crack nucleation in the macroscopic (structural) scale is generated from this functional form. The probabilistic model has a direct connection to the mechanisms of microstructural crack nucleation and can be obtained from macroscopic FE analysis with knowledge of statistics of the local microstructure.
机译：这是一个分为两部分的论文的第二篇，该论文旨在开发多晶Ti合金疲劳变形和破坏的宏观模型。在这一部分中，建立了概率性裂纹成核模型，该模型用于通过严格的微观分析在结构部件的宏观计算中预测损伤成核。该模型的输入包括在任何材料点的微观结构的形态特征以及局部应力/应变状态。可以使用第1部分（Ghosh等人，印刷中）开发的均质各向异性塑性本构模型（HAPC）从有限元分析中获得触发该模型所需的应力状态。确定性功能形式，将宏观裂纹成核的时间与宏观应力状态和微观结构特征参数相关联，是从实现基于物理晶粒级裂纹成核模型的双晶系统的代表性体积元素的严格晶体可塑性有限元模拟中得出的。随后，从该功能形式生成了宏观（结构）规模的预期裂纹成核的概率模型。概率模型与微观结构裂纹成核机理有直接关系，可以从具有局部微观结构统计知识的宏观有限元分析中获得。

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