Transient thermal stress intensity factors for a crack in a semi-infinite plate of a functionally gradient material. (English) Zbl 0799.73055

Summary: A crack in a semi-infinite plate of a functionally gradient material is studied under thermal shock loading conditions. The crack faces are supposed to be completely insulated. All material properties are assumed to be exponentially dependent on the distance from the crack line parallel to the boundary of the plate. By using both the Laplace transform and the Fourier transform, the thermal and mechanical problems are reduced to two systems of singular integral equations which are solved numerically. The stress intensity factors vs time for various material constants are calculated. The results show that by selecting the material constants appropriately, the stress intensity factors can be reduced substantially.


74R99 Fracture and damage
74G70 Stress concentrations, singularities in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
44A10 Laplace transform
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