Analysis of effects of material anisotropy on ductile damage using microscopic unit‐cell model

PAMM Pub Date : 2023-11-21 DOI:10.1002/pamm.202300046
S. Koirala, S. Gerke, M. Brünig
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Abstract

It is experimentally observed that the failure in ductile metals is mainly due to the nucleation, growth, and coalescence of micro‐voids as well as micro‐shear‐cracks. Furthermore, plastic anisotropy has significant role in damage and failure behavior of ductile metals. Finite element simulations of unit cell provide a basis to understand different mechanisms on micro‐scale, for example, changes in shape and size of single voids and defects as well as localization of plastic strains. This contribution deals with the numerical analysis of unit cell containing spherical void subjected to symmetrical boundary conditions taking material anisotropy into account. Elastic isotropic behavior is described by Hooke's law while Hoffman yield criterion considering the strength‐differential effect is used to model the anisotropic plastic behavior. Generalized anisotropic stress invariants, generalized stress triaxiality, and generalized Lode parameter are introduced to characterize the stress state in the anisotropic ductile metal. The effect of plastic anisotropy on the damage behavior of the aluminum alloy EN AW‐2017A is studied in detail by performing a series of numerical simulations covering a wide range of stress triaxialites and Lode parameters. Stress triaxility and Lode parameter are controlled and kept constant during the entire loading process. The numerical results are then used to discuss general mechanisms of damage and failure process in ductile metals.
利用微观单元模型分析材料各向异性对延性损伤的影响
据实验观察,韧性金属的破坏主要是由于微空洞和微剪切裂纹的成核、生长和凝聚造成的。此外,塑性各向异性在韧性金属的破坏和失效行为中起着重要作用。单元格的有限元模拟为了解微观尺度上的不同机制提供了基础,例如,单个空洞和缺陷的形状和尺寸变化以及塑性应变的定位。这篇论文论述了在考虑材料各向异性的对称边界条件下,对含有球形空隙的单胞进行的数值分析。各向同性弹性行为由胡克定律描述,而考虑强度差效应的霍夫曼屈服准则则用于模拟各向异性塑性行为。为了描述各向异性韧性金属的应力状态,引入了广义各向异性应力不变量、广义应力三轴性和广义 Lode 参数。通过对各种应力三轴性和 Lode 参数进行一系列数值模拟,详细研究了塑性各向异性对铝合金 EN AW-2017A 损伤行为的影响。在整个加载过程中,应力三轴度和 Lode 参数都受到控制并保持恒定。然后利用数值结果讨论韧性金属的一般损伤和失效机理。
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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