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A theoretical model for general cross section wires stress state evaluation during non-linear bending

机译:一般截面线材非线性弯曲过程中应力状态评估的理论模型

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摘要

Non-linear bending of thin wires is the main or one of the fundamental topics in several applications, especially when the plastic behaviour is widely involved. Tyre manufacturing and helical spring design are some of the most classical examples, but continuous improvement is also required in designing spectacle frames and shape memory wires. In this paper, a new analytical model is proposed, to foresee the final curvature obtained after non-linear bending of wires with nonsymmetric cross sections, once the loading parameters are known/Obviously both elastic springback after unloading and material behavioural non-linearities have been considered in the model. From an engineering point of view, negligible errors are committed if Bernoulli-Navier's hypothesis is guaranteed. The wire stress state can be evaluated by means of the model and enables the low cycle fatigue resistance verification.
机译:细线的非线性弯曲是几种应用的主要主题或基本主题之一,尤其是在广泛涉及塑性行为的情况下。轮胎制造和螺旋弹簧设计是一些最经典的示例,但是在设计眼镜架和形状记忆线时也需要不断改进。在本文中,提出了一种新的分析模型,以预测具有非对称横截面的线材非线性弯曲后获得的最终曲率,一旦已知加载参数/显然卸载后的弹性回弹和材料行为非线性在模型中考虑。从工程的角度来看,如果可以保证伯努利·纳维耶的假设是可以忽略的错误。可以通过模型评估线应力状态,并可以进行低循环疲劳强度验证。

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