Academic Journal

Enhancing the Goldberg-Richard model with a calibrated influence factor for superior moment-curvature prediction in RC beams.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Enhancing the Goldberg-Richard model with a calibrated influence factor for superior moment-curvature prediction in RC beams.
Συγγραφείς: Ali, Safaa I., Al-Tikrity, Omar T. N., Khattab, Fatimah A. K., Hardan, Samah Ahmed
Πηγή: Research on Engineering Structures & Materials; Jun2026, Vol. 12 Issue 3, p2059-2069, 11p
Θεματικοί όροι: Concrete beams, Mathematical models, Dimensional analysis, Structural analysis (Engineering), Nonlinear regression
Περίληψη: The relationship between moment (M) and curvature (κ) is key to characterising nonlinear flexural behaviour of concrete members. This research develops a new method for enhancing predictive accuracy of the Goldberg and Richard (G-R) Power Law model for predicting the behaviour of concrete under compression using a newly developed calibrated influence factor (CIF). Although the G-R model can provide continuous representations of the nonlinearity of the material, predictive accuracy is limited by the complex nature of design variables for composite members. In order to improve predictive accuracy, dimensional analysis and multivariate nonlinear regression analyses were conducted available experimental database to create a dimension-less CIF based on the Material Interaction Index (MII), which represents the mechanical interaction between steel reinforcement and concrete. Use of the CIF in a closed-form sectional analysis provided a means to enhance the prediction of moment response at ultimate strength. Validation of the CIF was performed against two independent programs and beam test results; results showed the CIF provided significant reductions in mean absolute error (MAE), improvements in root mean square error (RMSE), and R² values greater than 0.99, while maintaining analytical efficiency for performance based design applications. [ABSTRACT FROM AUTHOR]
Copyright of Research on Engineering Structures & Materials is the property of MIM Research Group and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 194989413
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  Label: Title
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  Data: Enhancing the Goldberg-Richard model with a calibrated influence factor for superior moment-curvature prediction in RC beams.
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  Data: <searchLink fieldCode="AR" term="%22Ali%2C+Safaa+I%2E%22">Ali, Safaa I.</searchLink><br /><searchLink fieldCode="AR" term="%22Al-Tikrity%2C+Omar+T%2E+N%2E%22">Al-Tikrity, Omar T. N.</searchLink><br /><searchLink fieldCode="AR" term="%22Khattab%2C+Fatimah+A%2E+K%2E%22">Khattab, Fatimah A. K.</searchLink><br /><searchLink fieldCode="AR" term="%22Hardan%2C+Samah+Ahmed%22">Hardan, Samah Ahmed</searchLink>
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  Data: Research on Engineering Structures & Materials; Jun2026, Vol. 12 Issue 3, p2059-2069, 11p
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  Data: <searchLink fieldCode="DE" term="%22Concrete+beams%22">Concrete beams</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensional+analysis%22">Dimensional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+analysis+%28Engineering%29%22">Structural analysis (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+regression%22">Nonlinear regression</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The relationship between moment (M) and curvature (κ) is key to characterising nonlinear flexural behaviour of concrete members. This research develops a new method for enhancing predictive accuracy of the Goldberg and Richard (G-R) Power Law model for predicting the behaviour of concrete under compression using a newly developed calibrated influence factor (CIF). Although the G-R model can provide continuous representations of the nonlinearity of the material, predictive accuracy is limited by the complex nature of design variables for composite members. In order to improve predictive accuracy, dimensional analysis and multivariate nonlinear regression analyses were conducted available experimental database to create a dimension-less CIF based on the Material Interaction Index (MII), which represents the mechanical interaction between steel reinforcement and concrete. Use of the CIF in a closed-form sectional analysis provided a means to enhance the prediction of moment response at ultimate strength. Validation of the CIF was performed against two independent programs and beam test results; results showed the CIF provided significant reductions in mean absolute error (MAE), improvements in root mean square error (RMSE), and R² values greater than 0.99, while maintaining analytical efficiency for performance based design applications. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Research on Engineering Structures & Materials is the property of MIM Research Group and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.17515/resm2026-1620st0418rs
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 11
        StartPage: 2059
    Subjects:
      – SubjectFull: Concrete beams
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Dimensional analysis
        Type: general
      – SubjectFull: Structural analysis (Engineering)
        Type: general
      – SubjectFull: Nonlinear regression
        Type: general
    Titles:
      – TitleFull: Enhancing the Goldberg-Richard model with a calibrated influence factor for superior moment-curvature prediction in RC beams.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Ali, Safaa I.
      – PersonEntity:
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            NameFull: Al-Tikrity, Omar T. N.
      – PersonEntity:
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            NameFull: Khattab, Fatimah A. K.
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            NameFull: Hardan, Samah Ahmed
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 21489807
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              Value: 12
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              Value: 3
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            – TitleFull: Research on Engineering Structures & Materials
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