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.
Übersicht
Die Arbeit behandelt das Problem zweier beschichteter Platten aus einem Funktionalgradientenmaterial mit einem Riß entlang der Verbindungsfläche unter einer thermischen Schockbeanspruchung. Die Materialeigenschaften hängen exponentiell vom Abstand von der Bruchlinie ab. Durch kombinierte Anwendung der Laplace- und der Fourier-Transformation wird das Problem auf eine singuläre Integralgleichung reduziert, die numerisch gelöst wird. Daraufhin wird der Spannungsintensitätsfaktor als Funktion der Zeit für mehrere Sätze von Materialkonstanten berechnet. Es zeigt sich, daß der Spannungsintensitätsfaktor durch eine geeignete Wahl der Materialkonstanten beträchtlich reduziert werden kann.
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Noda, N., Jin, Z.H. A crack in functionally gradient materials under thermal shock. Arch. Appl. Mech. 64, 99–110 (1994). https://doi.org/10.1007/BF00789101
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DOI: https://doi.org/10.1007/BF00789101