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

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 Neu...

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Main Authors: Kirill Golubiatnikov, František Wald
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:MethodsX
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Online Access:http://www.sciencedirect.com/science/article/pii/S2215016125000688
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author Kirill Golubiatnikov
František Wald
author_facet Kirill Golubiatnikov
František Wald
author_sort Kirill Golubiatnikov
collection DOAJ
description 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. • Allows conversion of values between numerical simulation and calculation for any steel. • 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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spelling doaj-art-e295ead1af5147d5a0e1d5d96fdb8c8a2025-08-20T03:30:32ZengElsevierMethodsX2215-01612025-06-011410322110.1016/j.mex.2025.103221Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approachKirill Golubiatnikov0František Wald1Corresponding author.; Czech Technical University in Prague, Faculty of Civil Engineering, Thakurova 7, 166 29 Prague, Czech RepublicCzech Technical University in Prague, Faculty of Civil Engineering, Thakurova 7, 166 29 Prague, Czech RepublicIn 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. • Allows conversion of values between numerical simulation and calculation for any steel. • 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 %.http://www.sciencedirect.com/science/article/pii/S2215016125000688The Deformation Energy Ratio approach
spellingShingle Kirill Golubiatnikov
František Wald
Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approach
MethodsX
The Deformation Energy Ratio approach
title Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approach
title_full Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approach
title_fullStr Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approach
title_full_unstemmed Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approach
title_short Conversion between the numerical simulation and the calculation using the Deformation Energy Ratio approach
title_sort conversion between the numerical simulation and the calculation using the deformation energy ratio approach
topic The Deformation Energy Ratio approach
url http://www.sciencedirect.com/science/article/pii/S2215016125000688
work_keys_str_mv AT kirillgolubiatnikov conversionbetweenthenumericalsimulationandthecalculationusingthedeformationenergyratioapproach
AT frantisekwald conversionbetweenthenumericalsimulationandthecalculationusingthedeformationenergyratioapproach