Analytical and Numerical Modelling of Sheet Plate Cold Expanded Hole Subjected to Reverse Yielding

A. Bouzid, Hacène Touahri
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Abstract

Predicting and mitigating the effect of expansion induced by cold working on damage fatigue accumulation and life assessment of aluminum alloy is a common process in the aeronautics industry, especially to extend the fatigue lifetime of their structures. This process aims at generating residual stresses and increases thereby the strength of hollow parts including aluminum alloy plate holes that are employed in manufacturing the airplane fuselage. An analytical model to predict the residual stresses induced during the expansion process due to the cold strain hardening is developed. The proposed model is based on an elasto-plastic behavior, with a power law material behaviour and relies on the theory of autofrettaged thick wall cylinders in plane strain state to which reverse yielding is incorporated. The application of Hencky theory of plastic deformation is used in the analytical calculations of the stresses and strains. Finite-element numerical simulation is used to validate the developed analytical model by comparison of the radial, Hoop, longitudinal and equivalent stresses for both the loading and unloading phases. The obtained results show clearly that the level of residual stresses depends mainly on the interference and strain hardening while reverse yielding reduce the stresses near the hole.
薄板冷扩孔反屈服分析与数值模拟
预测和减轻冷加工膨胀对铝合金损伤疲劳积累和寿命评估的影响是航空工业中普遍存在的问题,特别是延长其结构的疲劳寿命。该工艺旨在产生残余应力,从而提高中空部件的强度,包括用于制造飞机机身的铝合金板孔。建立了一种预测膨胀过程中由于冷应变硬化而产生残余应力的解析模型。该模型基于弹塑性特性,具有幂律材料特性,并依赖于自增强厚壁圆柱体在平面应变状态下的反向屈服理论。应用henky塑性变形理论进行了应力应变的解析计算。通过对加载和卸载阶段的径向应力、环向应力、纵向应力和等效应力的比较,采用有限元数值模拟方法验证了所建立的解析模型。结果表明,残余应力水平主要取决于干涉和应变硬化,而反向屈服降低了孔附近的应力。
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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