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Fracture analysis of a nonhomogeneous coating/substrate system with an interface under thermal shock

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Abstract

The work is devoted to establish a model for the interface problem of a nonhomogeneous coating/substrate system. In the model, according to the distribution of material properties, three types of interface problems are considered: (i) The material properties and their derivatives are continuous on the interface; (ii) the material properties are continuous, but their derivatives are discontinuous on the interface; and (iii) the material properties as well as their derivatives are discontinuous on the interface. In order to solve the complex interface problems, a transient interaction energy integral method (IEIM) is developed in this paper. The transient thermal stress intensity factors are evaluated using the IEIM combined with the finite element method and the finite difference method. The influences of the interface discontinuity and the geometric parameters on the transient TSIFs are investigated. Particularly, the crack growth behavior with different interface discontinuities is discussed.

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Abbreviations

λ :

Heat conductivity

α :

Thermal expansion coefficient

c :

Specific heat

E :

Young’s modulus

ρ :

Density

β :

Nonhomogeneity constants

T :

Temperature

u i :

Displacement

σ ij :

Stress

ε ij :

Strain

K I :

Mode-I TSIF

K II :

Mode-II TSIF

μ :

Shear modulus

ν :

Poisson’s ratio

S ijkl :

Flexibility tensor

I :

Interaction energy integral

K 0 :

Normalized factor

t n :

Normalized time

K 1C :

Local fracture toughness

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Authors and Affiliations

  1. Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Yanyan Zhang, Licheng Guo, Fengnan Guo & Suyang Zhong

  2. Shenyang University, Shenyang, 110000, People’s Republic of China

    Yanyan Zhang

Authors
  1. Yanyan Zhang
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  2. Licheng Guo
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  3. Fengnan Guo
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  4. Suyang Zhong
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Correspondence to Licheng Guo.

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Zhang, Y., Guo, L., Guo, F. et al. Fracture analysis of a nonhomogeneous coating/substrate system with an interface under thermal shock. Acta Mech 225, 2485–2500 (2014). https://doi.org/10.1007/s00707-014-1087-3

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  • DOI: https://doi.org/10.1007/s00707-014-1087-3

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