This paper presents a new algorithm to implement the Carpinteri–Spagnoli–Vantadori (CSV) multiaxial fatigue criterion for random loading and to shorten the computation time. This goal is achieved after calculating the exact expressions of stress spectral moments in every rotated plane, which allow the maximum variance and expected maximum peak of normal/shear stress to be computed directly. This permits the new algorithm to determine the five rotations of the critical plane without using ‘for/end’ loops (which represent a slow numerical operation), although some information on stress signals examined is lost. Two examples are presented to demonstrate the advantages of the new algorithm in comparison with its standard version, which are particularly remarkable when considering the stress output of all finite element model nodes. The approach behind the new algorithm can be extended to other multiaxial spectral criteria that use angular rotations or direction cosines to locate the critical plane or the direction of maximum stress variance.

中文翻译：

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多轴随机载荷下计算机辅助工程耐久性分析中快速临界面搜索的算法：在Carpinteri–Spagnoli–Vantadori光谱法中的应用

本文提出了一种新算法，可实现随机载荷下Carpinteri–Spagnoli–Vantadori（CSV）多轴疲劳准则，并缩短计算时间。在计算每个旋转平面中的应力谱矩的精确表达式之后，可以实现该目标，从而可以直接计算法向/剪切应力的最大方差和预期的最大峰值。这允许新算法无需使用“ for / end”循环（表示缓慢的数值运算）即可确定临界平面的五个旋转，尽管丢失了有关所检查应力信号的某些信息。给出了两个例子来说明新算法与标准版本相比的优势，当考虑所有有限元模型节点的应力输出时，这些优势尤其明显。