Abstract The paper introduces a method for calculating the strain energy dissipated during cyclic loading based on Prandtl-Ishlinskii hysteresis operators. The dissipated strain energy is calculated continuously throughout the loading procedure, the main advantage of the method being independence from the incremental step size. The Prandtl-Ishlinskii energy model is applied to a rheological model for magnesium alloy AZ31 that correctly simulates the material’s complex response when subjected to arbitrary uniaxial loading at room temperature. This approach gives a fast and accurate value of the dissipated strain energy which in turn can be used for estimating the fatigue life of magnesium alloys.

中文翻译：

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一种快速且增量独立的技术，用于连续计算应用于镁合金 AZ31 的循环加载过程中耗散的应变能

摘要 介绍了一种基于Prandtl-Ishlinskii滞后算子的循环加载应变能耗散计算方法。在整个加载过程中连续计算耗散的应变能，该方法的主要优点是独立于增量步长。Prandtl-Ishlinskii 能量模型应用于镁合金 AZ31 的流变模型，该模型正确模拟了材料在室温下承受任意单轴载荷时的复杂响应。这种方法提供了耗散应变能的快速准确值，进而可用于估计镁合金的疲劳寿命。