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Strain-gradient finite elasticity solutions to rigid bar pull-out test

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Abstract

The pull-out test is one of the common experiments to determine the bond strength. When the problem is modeled in the context of linear elasticity for a cylindrical reinforced concrete block, the resulting simplified 1-D model yields so-called pull-out paradox Rezaei et al. (Mech Res Commun 126:104015, 2022) due to extreme concentration of energy near the bar. Since the standard linear elasticity is not able to consider this high values of energy, the problem was investigated by strain-gradient elasticity solution in the work of Rezaei et al. (Mech Res Commun 126:104015, 2022) . In this study, to resolve the paradoxical solution, classical finite (i.e., St.-Venant–Kirchhoff model) and strain-gradient finite elasticity solutions are presented. Each mathematical model, assuming that the material is isotropic, is derived with the principle of minimum potential energy introducing appropriate strain energy. The numerical simulations are performed by the finite element method, and it is showed that numerical solution of each model converges well.

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Author information

Authors and Affiliations

  1. Engineering Faculty, International Telematic University UNINETTUNO, 00186, Rome, Italy

    Nasrin Rezaei & Luca Placidi

  2. Department of Architecture, Design and Urban Planning, University of Sassari, 07041, Alghero, Italy

    M. Erden Yildizdag & Emilio Turco

  3. Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, 34469, Istanbul, Turkey

    M. Erden Yildizdag

  4. Department of Civil and Environmental Engineering, Florida International University, Miami, FL, 33174, USA

    Anil Misra

Authors
  1. Nasrin Rezaei
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  2. M. Erden Yildizdag
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  3. Emilio Turco
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  4. Anil Misra
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  5. Luca Placidi
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Contributions

NR derived the formulations and performed the simulations. NR and MEY wrote the main manuscript. ET, AM, and LP supervised the study. All authors reviewed the manuscript.

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Correspondence to M. Erden Yildizdag.

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Rezaei, N., Yildizdag, M.E., Turco, E. et al. Strain-gradient finite elasticity solutions to rigid bar pull-out test. Continuum Mech. Thermodyn. 36, 607–617 (2024). https://doi.org/10.1007/s00161-024-01285-5

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