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Multi-objective Global Optimization for Deformation Near a Hole in an Oxide Forming Alloy Foil Subjected to Thermal Cycling

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Abstract

The TBC (thermal barrier coating) systems provide protection against high temperature corrosion of the superalloy substrates in the gas turbine engines. However, the lateral growth of TGO (thermally-grown oxide) and the thermal expansion misfit between TGO and BC(bond coat) induce internal stress which can be sufficient to activate plastic deformation or buckling in TGO. In this paper, the analytic and optimization methods were applied for improving durability of the TBC system. First, an analytic method for obtaining the deformation results of TBC system was applied. In the following step, the analysis results were obtained for the experimental points selected by the D-optimal DOE method. Based on these analysis data, the fitting functions for showing the deformation of the TBC system were constructed using the response surface method. Finally, a multi-objective global optimization method was developed for upgrading durability of the TBC system. The developed analytic and optimization methods can be widely used to improve the performance of the TBC system for the gas turbine engines.

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Abbreviations

c i :

ith coefficient of response surface

C :

Objective of fitting function

D :

Diameter of the hole

E :

Error

e g :

TGO growth ratio

E :

Young’s modulus

f :

Objective function

G :

Shear modulus

h :

TGO thickness

H :

Error matrix

k :

Number of design variables

M :

Moment matrix

n :

Number of experimental points

p :

Pressure

R :

Radius of the hole

U :

Combined objective function

x :

Design variable

X :

Matrix composed of the design variables

y :

Fitting function

Δα :

CTE mismatch between TGO layer and substrate

μ g :

Increment of growth strain of TGO layer

ε θθ :

Strain on the interface between TGO and the substrate

σ rr_sub :

The stress of the substrate in the lateral direction

σY sub :

Yield strength of substrate

σY tgo :

Yield strength of TGO

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Authors and Affiliations

  1. Ulsan Ship and Ocean College, Ludong University, Yantai, Shandong, 264025, China

    Feng-Xun Li

  2. College of Mechanical and Electrical Engineering, Wenzhou University, Wenzhou, Zhejiang, 325035, China

    Zhen-Zhe Li

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  1. Feng-Xun Li
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Li, FX., Li, ZZ. Multi-objective Global Optimization for Deformation Near a Hole in an Oxide Forming Alloy Foil Subjected to Thermal Cycling. Int. J. of Precis. Eng. and Manuf.-Green Tech. 5, 261–269 (2018). https://doi.org/10.1007/s40684-018-0027-4

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  • DOI: https://doi.org/10.1007/s40684-018-0027-4

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