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An internal crack parallel to the boundary of a nonhomogeneous half plane under thermal loading. (English) Zbl 0773.73073
Summary: This paper considers the crack problem for a semi-infinite nonhomogeneous thermoelastic solid subjected to steady heat flux over the boundary. The crack faces are assumed to be insulated. The research is aimed at understanding the effect of nonhomogeneities of materials on stress intensity factors. By using the Fourier transform, the problem is reduced to a system of singular integral equations which are solved numerically. Results are presented illustrating the influence of the nonhomogeneity of the material on the stress intensity factors. Zero mode I stress intensity factors are found for some groups of the material constants, which may be interesting for the understanding of compositions of advanced functionally gradient materials.

##### MSC:
 74R99 Fracture and damage 74A15 Thermodynamics (mechanics of deformable solids)
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##### References:
 [1] Noda, N.; Tsuji, T.: Proc. first international symposium on functionally gradient materials. 339 (1990) [2] Noda, N.; Tsuji, T.: Trans. JSME. 57, 625 (1991) [3] Arai, Y.; Kobayashi, H.; Tamura, M.: Proc. FGM’91. 19 (1991) [4] N. NODA and Z. H. JIN, J. Thermal Stresses. In press. [5] Gradshteyn, I. S.; Ryzhik, I. M.: Tables of integrals, series and products. (1965) · Zbl 0918.65002