Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approach

IF 1.9 Q2 MULTIDISCIPLINARY SCIENCES MethodsX Pub Date : 2025-02-15 DOI:10.1016/j.mex.2025.103221

Kirill Golubiatnikov, František Wald

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Abstract

In numerical simulations and calculations, material curves are defined in different ways. A direct transfer of quantities between them is inaccurate, requiring a proper transformation of key values. The Deformation Energy Ratio approach is based on well-established mechanical principles, such as Neuber's rule and the Equivalent Strain Energy Density method, which express deformation energy as a function of stress and strain. This approach accounts for material conditions in both analyses and enables a more precise limit adjustment. Its simplicity allows for application in both analytical and numerical solutions.

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Allows conversion of values between numerical simulation and calculation for any steel.
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It takes into account the influence of material properties, thus comprehensively considering the effects of different factors.
•
The verification has presented a high accuracy of the values obtained. The average deviation is <5.0 % and the maximum deviation is 5.6 %.

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用变形能比法进行数值模拟与计算的转换

在数值模拟和计算中，材料曲线以不同的方式定义。在它们之间直接转换数量是不准确的，需要对关键值进行适当的转换。变形能比法是基于公认的力学原理，如Neuber规则和等效应变能密度法，将变形能表示为应力和应变的函数。这种方法考虑了两种分析中的物质条件，并能够进行更精确的极限调整。它的简单性允许在解析解和数值解中应用。•允许数值模拟和任何钢计算之间的值转换。•考虑到材料性能的影响，从而综合考虑不同因素的影响。•验证表明所获得的值具有很高的准确性。平均偏差为5.0%，最大偏差为5.6%。

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