Fracture mechanics solutions for interfacial cracks between compressible thin layers and substrates

Roberta Massabò*, Konstantin Ustinov, Luca Barbieri, Christian Berggreen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

The decohesion of coatings, thin films, or layers used to protect or strengthen technological and structural components causes the loss of their functions. In this paper, analytical, computational, and semi-analytical 2D solutions are derived for the energy release rate and mode-mixity phase angle of an edge-delamination crack between a thin layer and an infinitely deep substrate. The thin layer is subjected to general edge loading: axial and shear forces and bending moment. The solutions are presented in terms of elementary crack tip loads and apply to a wide range of material combinations, with a large mismatch of the elastic constants (isotropic materials with Dundurs’ parameters −1≤α≤1 and −0.4≤β≤0.4 ). Results show that for stiff layers over soft substrates ( α→1 ), the effects of material compressibility are weak, and the assumption of substrate incompressibility is accurate; for other combinations, including soft layers over stiff substrates ( α→−1 ), the effects may be relevant and problem specific. The solutions are applicable to edge- and buckling-delamination of thin layers bonded to thick substrates, to mixed-mode fracture characterization test methods, and as benchmark cases.
Original languageEnglish
Article number152
JournalJournal of Coatings Technology and Research
Volume9
Issue number3
Number of pages19
ISSN1547-0091
DOIs
Publication statusPublished - 2019

Bibliographical note

© 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

Keywords

  • Coatings
  • Delamination
  • Interfaces
  • Linear elastic fracture mechanics
  • Mixed-mode fracture
  • Phase angle
  • Sandwich
  • Soft materials substrates

Cite this

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title = "Fracture mechanics solutions for interfacial cracks between compressible thin layers and substrates",
abstract = "The decohesion of coatings, thin films, or layers used to protect or strengthen technological and structural components causes the loss of their functions. In this paper, analytical, computational, and semi-analytical 2D solutions are derived for the energy release rate and mode-mixity phase angle of an edge-delamination crack between a thin layer and an infinitely deep substrate. The thin layer is subjected to general edge loading: axial and shear forces and bending moment. The solutions are presented in terms of elementary crack tip loads and apply to a wide range of material combinations, with a large mismatch of the elastic constants (isotropic materials with Dundurs’ parameters −1≤α≤1 and −0.4≤β≤0.4 ). Results show that for stiff layers over soft substrates ( α→1 ), the effects of material compressibility are weak, and the assumption of substrate incompressibility is accurate; for other combinations, including soft layers over stiff substrates ( α→−1 ), the effects may be relevant and problem specific. The solutions are applicable to edge- and buckling-delamination of thin layers bonded to thick substrates, to mixed-mode fracture characterization test methods, and as benchmark cases.",
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note = "{\circledC} 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).",
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Fracture mechanics solutions for interfacial cracks between compressible thin layers and substrates. / Massabò, Roberta; Ustinov, Konstantin; Barbieri, Luca; Berggreen, Christian.

In: Journal of Coatings Technology and Research, Vol. 9, No. 3, 152, 2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Fracture mechanics solutions for interfacial cracks between compressible thin layers and substrates

AU - Massabò, Roberta

AU - Ustinov, Konstantin

AU - Barbieri, Luca

AU - Berggreen, Christian

N1 - © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

PY - 2019

Y1 - 2019

N2 - The decohesion of coatings, thin films, or layers used to protect or strengthen technological and structural components causes the loss of their functions. In this paper, analytical, computational, and semi-analytical 2D solutions are derived for the energy release rate and mode-mixity phase angle of an edge-delamination crack between a thin layer and an infinitely deep substrate. The thin layer is subjected to general edge loading: axial and shear forces and bending moment. The solutions are presented in terms of elementary crack tip loads and apply to a wide range of material combinations, with a large mismatch of the elastic constants (isotropic materials with Dundurs’ parameters −1≤α≤1 and −0.4≤β≤0.4 ). Results show that for stiff layers over soft substrates ( α→1 ), the effects of material compressibility are weak, and the assumption of substrate incompressibility is accurate; for other combinations, including soft layers over stiff substrates ( α→−1 ), the effects may be relevant and problem specific. The solutions are applicable to edge- and buckling-delamination of thin layers bonded to thick substrates, to mixed-mode fracture characterization test methods, and as benchmark cases.

AB - The decohesion of coatings, thin films, or layers used to protect or strengthen technological and structural components causes the loss of their functions. In this paper, analytical, computational, and semi-analytical 2D solutions are derived for the energy release rate and mode-mixity phase angle of an edge-delamination crack between a thin layer and an infinitely deep substrate. The thin layer is subjected to general edge loading: axial and shear forces and bending moment. The solutions are presented in terms of elementary crack tip loads and apply to a wide range of material combinations, with a large mismatch of the elastic constants (isotropic materials with Dundurs’ parameters −1≤α≤1 and −0.4≤β≤0.4 ). Results show that for stiff layers over soft substrates ( α→1 ), the effects of material compressibility are weak, and the assumption of substrate incompressibility is accurate; for other combinations, including soft layers over stiff substrates ( α→−1 ), the effects may be relevant and problem specific. The solutions are applicable to edge- and buckling-delamination of thin layers bonded to thick substrates, to mixed-mode fracture characterization test methods, and as benchmark cases.

KW - Coatings

KW - Delamination

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KW - Mixed-mode fracture

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