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A crack in functionally gradient materials under thermal shock. (English) Zbl 0792.73060
Summary: This paper deals with the problem of two bonded semi-infinite functionally gradient material plates with a crack at the interface under thermal shock loading conditions. All material properties are supposed to be exponentially dependent on the distance from the crack line. By using both the Laplace transform and the Fourier transform, the problem is reduced to a singular integral equation which is solved numerically. The stress intensity factor versus time for various material constants is calculated. The results show that by selecting the material constants appropriately, the stress intensity factor can be lowered substantially.

74R99 Fracture and damage
74G70 Stress concentrations, singularities in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)