Rainflow counting and energy dissipation for hysteresis models in elastoplasticity
Rainflow counting and energy dissipation for hysteresis models in elastoplasticity
复制标题
弹塑性滞后模型的雨流计数和能量耗散
DOI：
--
复制
发表时间：
1996
期刊：
影响因子：
--
通讯作者：
P. Krejčí
中科院分区：
文献类型：
--
作者：
M. Brokate;K. Dressler;P. Krejčí
雨流计数方法广泛应用于疲劳分析和损伤估计。我们分析了它的一些数学特性，并提供了与迟滞算子的几种联系。因此，我们证明通过 Palmgren-Miner-Rule 获得的总损伤是加载历史的连续函数。然后，我们考虑弹塑性的几个本构定律，也包括疲劳，并表明，对于任意加载历史，累积损伤和耗散能量都可以表示为磁滞算子输出的总变化。除了一些注释外，我们只处理单轴情况。
The rainflow counting method is widely used in the context of fatigue analysis and damage estimation. We analyze some of its mathematical properties and provide several connections to hysteresis operators. As a consequence, we prove that the total damage obtained through the Palmgren-Miner-Rule is a continuous functional of the loading history. We then consider several constitutive laws of elastoplasticity, also including fatigue, and show that, for arbitrary loading histories, the accumulated damage and the dissipated energy can both be expressed as the total variation of the output of a hysteresis operator. Except for some remarks, we exclusively deal with the uniaxial case.