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Thermodynamic formulation of gradient plasticity with hydrogen transport: grand-canonical potential approach for small deformation isotropic solids.

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Τίτλος: Thermodynamic formulation of gradient plasticity with hydrogen transport: grand-canonical potential approach for small deformation isotropic solids.
Συγγραφείς: Borokinni, A. S.1,2 (AUTHOR) aborokinni@oauife.edu.ng, Oguamanam, D. C. D.1 (AUTHOR) doguaman@torontomu.ca
Πηγή: Acta Mechanica. Sep2026, p1-20. 20p.
Θεματικοί όροι: *Thermodynamic potentials, *Material plasticity, *Deformations (Mechanics), *Heat conduction, *Thermodynamics, *Mass transfer, *Isotropic properties
Περίληψη: This paper presents a thermodynamically consistent, fully coupled thermo-chemo-mechanical framework governing hydrogen transport, heat conduction, and gradient plasticity. Departing from conventional Helmholtz free-energy formulations, the developed theory utilizes the grand-canonical potential as the primary thermodynamic potential. Microstructural length scale effects are incorporated via the Burgers tensor as a continuum measure of geometrically necessary dislocation (GND) densities. The governing macro- and micro-force balances are established using the principle of virtual power, while the laws of thermodynamics dictate the admissible constitutive equations and dissipation inequalities. Crucially, formulating the hydrogen transport balance in terms of the chemical potential via the grand-canonical approach yields a more computationally efficient governing equation in comparison with traditional concentration-based free-energy models. Under the assumptions of material isotropy and a quadratic grand-canonical potential, the framework reveals an energetic decoupling of the thermal and chemical fields from plastic strain gradients. Furthermore, the formulation provides a unified description of both interstitial and trapped hydrogen populations, establishing a rigorous theoretical foundation for subsequent numerical implementations. [ABSTRACT FROM AUTHOR]
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  – Url: https://dx.doi.org/doi:10.1007/s00707-026-04892-2
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  Data: Thermodynamic formulation of gradient plasticity with hydrogen transport: grand-canonical potential approach for small deformation isotropic solids.
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Sep2026, p1-20. 20p.
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a thermodynamically consistent, fully coupled thermo-chemo-mechanical framework governing hydrogen transport, heat conduction, and gradient plasticity. Departing from conventional Helmholtz free-energy formulations, the developed theory utilizes the grand-canonical potential as the primary thermodynamic potential. Microstructural length scale effects are incorporated via the Burgers tensor as a continuum measure of geometrically necessary dislocation (GND) densities. The governing macro- and micro-force balances are established using the principle of virtual power, while the laws of thermodynamics dictate the admissible constitutive equations and dissipation inequalities. Crucially, formulating the hydrogen transport balance in terms of the chemical potential via the grand-canonical approach yields a more computationally efficient governing equation in comparison with traditional concentration-based free-energy models. Under the assumptions of material isotropy and a quadratic grand-canonical potential, the framework reveals an energetic decoupling of the thermal and chemical fields from plastic strain gradients. Furthermore, the formulation provides a unified description of both interstitial and trapped hydrogen populations, establishing a rigorous theoretical foundation for subsequent numerical implementations. [ABSTRACT FROM AUTHOR]
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      – Type: doi
        Value: 10.1007/s00707-026-04892-2
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      – Code: eng
        Text: English
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        PageCount: 20
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      – SubjectFull: Thermodynamic potentials
        Type: general
      – SubjectFull: Material plasticity
        Type: general
      – SubjectFull: Deformations (Mechanics)
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      – SubjectFull: Heat conduction
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              M: 09
              Text: Sep2026
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              Y: 2026
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