Abstract In this paper a method is presented to combine incremental notch approximation methods for multiaxial cyclic loading with a cyclic plasticity model. The proposed solution algorithm improves the numerical stability of incremental notch approximation methods. This allows a load path to be discretised with few increments thus the computational effort is lowered. The proposed method is used for three known incremental notch approximation methods, the Neuber method, the ESED method and the Unified Expression. To validate the notch approximations the results are compared against finite element calculations of a notched component. Both proportional and non-proportional load cases are considered.

中文翻译：

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多轴循环加载增量缺口应力-应变近似的能量驱动积分

摘要 本文提出了一种将多轴循环加载的增量缺口近似方法与循环塑性模型相结合的方法。所提出的求解算法提高了增量陷波近似方法的数值稳定性。这允许负载路径以很少的增量离散，从而降低了计算工作量。所提出的方法用于三种已知的增量陷波近似方法，Neuber 方法、ESED 方法和统一表达式。为了验证缺口近似值，将结果与缺口部件的有限元计算进行比较。考虑了比例和非比例载荷情况。