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Wrinkling–buckling interaction in a hyperelastic bilayer with interfacial delamination under compression: critical load analysis and comparison with approximate models.

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Τίτλος: Wrinkling–buckling interaction in a hyperelastic bilayer with interfacial delamination under compression: critical load analysis and comparison with approximate models.
Συγγραφείς: Bogdanov, V. L.1 (AUTHOR) bogdanov@nas.gov.ua, Nazarenko, V. M.1 (AUTHOR) nazvm1@gmail.com, Kipnis, A. L.1 (AUTHOR) a.l.kipnis@gmail.com
Πηγή: International Journal of Fracture. May2026, Vol. 250 Issue 2, p1-19. 19p.
Θεματικοί όροι: *Mechanical buckling, *Bilayers (Solid state physics), *Strain energy, *Fracture mechanics, *Scientific method, *Stability theory, *Deformations (Mechanics)
Περίληψη: The aim of this study is to develop and apply a semi-analytical approach to determine the critical parameters of stability loss under compression of a bilayer consisting of a thin film on a semi-infinite substrate in the presence of an interface delamination of a given length. Using the methods of three-dimensional linearized stability theory, the corresponding boundary value problem is reduced to an eigenvalue problem with respect to the parameters of the compressive loading for a system of Fredholm integral equations of the first kind, which is solved numerically. Since the components of the bilayer are considered as hyperelastic materials with an arbitrary form of elastic potential, the obtained results cover a wide range of mechanical characteristics – both in the small and finite (large) deformation modes. Based on examples involving specific types of elastic potentials, the influence of the constitutive model on the critical parameters of stability loss is investigated. For cases of relatively short and relatively long delaminations, a comparison of the results obtained using the proposed approach is made with the results obtained using known approximate approaches used to estimate critical wrinkling and buckling deformations, respectively. In the case of intermediate-length delaminations, it is shown that due to the interaction of wrinkling and buckling mechanisms, the critical values of relative compression in the bilayer are significantly lower than those predicted by the approximate models. At the same time, the obtained results are in good agreement with the results of numerical simulations reported in previous studies and, thus, can be used to predict the onset of interfacial failure in compressed bilayers with thin films. [ABSTRACT FROM AUTHOR]
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  – Url: https://dx.doi.org/doi:10.1007/s10704-026-00912-3
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  Data: Wrinkling–buckling interaction in a hyperelastic bilayer with interfacial delamination under compression: critical load analysis and comparison with approximate models.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Fracture%22">International Journal of Fracture</searchLink>. May2026, Vol. 250 Issue 2, p1-19. 19p.
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  Data: *<searchLink fieldCode="DE" term="%22Mechanical+buckling%22">Mechanical buckling</searchLink><br />*<searchLink fieldCode="DE" term="%22Bilayers+%28Solid+state+physics%29%22">Bilayers (Solid state physics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Strain+energy%22">Strain energy</searchLink><br />*<searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink><br />*<searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br />*<searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Deformations+%28Mechanics%29%22">Deformations (Mechanics)</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The aim of this study is to develop and apply a semi-analytical approach to determine the critical parameters of stability loss under compression of a bilayer consisting of a thin film on a semi-infinite substrate in the presence of an interface delamination of a given length. Using the methods of three-dimensional linearized stability theory, the corresponding boundary value problem is reduced to an eigenvalue problem with respect to the parameters of the compressive loading for a system of Fredholm integral equations of the first kind, which is solved numerically. Since the components of the bilayer are considered as hyperelastic materials with an arbitrary form of elastic potential, the obtained results cover a wide range of mechanical characteristics – both in the small and finite (large) deformation modes. Based on examples involving specific types of elastic potentials, the influence of the constitutive model on the critical parameters of stability loss is investigated. For cases of relatively short and relatively long delaminations, a comparison of the results obtained using the proposed approach is made with the results obtained using known approximate approaches used to estimate critical wrinkling and buckling deformations, respectively. In the case of intermediate-length delaminations, it is shown that due to the interaction of wrinkling and buckling mechanisms, the critical values of relative compression in the bilayer are significantly lower than those predicted by the approximate models. At the same time, the obtained results are in good agreement with the results of numerical simulations reported in previous studies and, thus, can be used to predict the onset of interfacial failure in compressed bilayers with thin films. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1007/s10704-026-00912-3
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      – Code: eng
        Text: English
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        PageCount: 19
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    Subjects:
      – SubjectFull: Mechanical buckling
        Type: general
      – SubjectFull: Bilayers (Solid state physics)
        Type: general
      – SubjectFull: Strain energy
        Type: general
      – SubjectFull: Fracture mechanics
        Type: general
      – SubjectFull: Scientific method
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Deformations (Mechanics)
        Type: general
    Titles:
      – TitleFull: Wrinkling–buckling interaction in a hyperelastic bilayer with interfacial delamination under compression: critical load analysis and comparison with approximate models.
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            NameFull: Bogdanov, V. L.
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            NameFull: Nazarenko, V. M.
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 250
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              Value: 2
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            – TitleFull: International Journal of Fracture
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