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Low cycle fatigue model for nonlinear kinematic hardening materials

机译:非线性运动硬化材料的低周疲劳模型

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摘要

This paper presents the mathematical model to describe the low cycle fatigue behavior of a nonlinear kinematic hardening material when it is subjected to multiaxial variable amplitude loading. The fatigue model is generated using the fundamentals of two surface plasticity theory. Concept behind the methodology is the determination of the internal state variable of material when it is subjected to cyclic loading at the place where the stresses are most severe. Fatigue fracture would initiate at such places when the internal state variables reach threshold values. Considering the kinematic hardening material has an appreciable strain-hardening rate, effective plastic strain is proposed as the critical internal state variable in this model. The multiaxial fatigue model is presented, particularized, specialized to uniaxial stress and the equations solved. The model is compared to uniaxial stress experimental results. A good agreement has been found between the predicted and experimental results.
机译:本文提出了一种数学模型来描述非线性运动硬化材料在多轴可变振幅载荷下的低周疲劳行为。疲劳模型是使用两个表面可塑性理论的基础生成的。该方法背后的概念是确定材料在应力最严重的地方承受循环载荷时的内部状态变量。当内部状态变量达到阈值时,疲劳断裂将在此类位置开始。考虑到运动硬化材料具有可观的应变硬化速率,因此在该模型中提出了有效塑性应变作为临界内部状态变量。提出了专门针对单轴应力的多轴疲劳模型,并求解了方程。将模型与单轴应力实验结果进行比较。在预测结果和实验结果之间找到了很好的一致性。

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