Interface Delamination Analysis of Dissimilar Materials: Application to Thermal Barrier Coatings

Living reference work entry

Abstract

Recent progress of gas turbine technologies requires protection of superalloy components from harsh use environments. To satisfy this requirement, surface protection coatings have been developed. The coatings allow protection of superalloy substrate from use environments, which includes temperature. Among the coatings, thermal barrier coatings (TBCs) have been developed to protect high temperature metal components. TBCs are usually composed of oxide ceramic topcoat layer, metal or intermetallic bond coat layer, and substrate. Currently, yttria stabilized zirconia (YSZ) is believed the best material for TBCs. YSZ-TBCs reduce temperature of a metal component because of its low thermal conductivity and cooling of metal substrate, and allows safety operation of superalloy components.

List of Abbreviations

htbc:

Thickness of TBC layer

hs:

Thickness of substrate

htgo:

Thickness of thermally grown oxide (TGO) layer

h1, h2:

Thickness of coating layer (1) and substrate (2) for analytical model

Etbc:

Young’s modulus of TBC layer

Es:

Young’s modulus of substrate

Etgo:

Young’s modulus of TGO layer

μ:

Shear modulus

νtbc:

Poisson’s ratio of TBC layer

νs:

Poisson’s ratio of substrate

νtgo:

Poisson’s ratio of TGO layer

Pa:

Applied load

σa:

Applied stress

σtbc:

Stress of TBC layer

σs:

Stress of substrate

σtgo:

Stress of TGO layer

\( {\sigma}_{tbc}^T \):

Thermal expansion misfit stress of TBC layer

\( {\sigma}_s^T \):

Thermal expansion misfit stress of substrate

\( {\sigma}_{tgo}^T \):

Thermal expansion misfit stress of TGO layer

σxx:

Normal stress component

σyy:

Normal stress component

τxy:

Shear stress component

x, y, z:

Coordinates

u:

Displacement

ψ:

Phase angle at crack tip

ψss:

Steady state phase angle at crack tip

ϵ:

Bi-material constant

εtbc:

In plane strain of TBC layer

εs:

In plane strain of substrate

εtgo:

In plane strain of TGO layer

εa:

Applied strain

Ltbc:

Length of TBC layer

Ls:

Length of substrate

a:

Interface crack length

abuckle:

Crack length at buckling

Gss:

Steady stare strain energy release rate (calculated value)

G:

Strain energy release rate (calculated value)

G0:

Strain energy release rate at a ≅ 0

Γss:

Steady stare strain energy release rate (measured value)

Γc:

Critical strain energy release rate (measured value)

αtbc:

Thermal expansion coefficient of TBC layer

αs:

Thermal expansion coefficient of substrate

αtgo:

Thermal expansion coefficient of TGO layer

ΔT:

Temperature difference

Γ:

Strain energy release rate (measured value)

Ω:

Young’s modulus ratio Ω = Etbc/Es

η:

Thickness ratio η = htbc/hs

λ(a/Ltbc):

Nondimensional shape factor

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Katayanagi Advanced Research LaboratoriesTokyo University of TechnologyTokyoJapan
  2. 2.Materials Research and Development LaboratoryJapan Fine Ceramics CenterNagoyaJapan
  3. 3.Division of Systems Research, Faculty of EngineeringYokohama National UniversityYokohamaJapan

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