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Analysis of thermoelastic response in a functionally graded infinite space subjected to a mode-I crack. (English) Zbl 1359.74060

Summary: This paper is concerned with the investigation of thermoelastic stresses, displacement and the temperature in a functionally graded (i.e. material with spatially varying material properties) infinite space weakened by a finite linear opening Mode-I crack. The crack is subjected to prescribed temperature and stress distribution in the context of Green-Naghdi theory of generalized thermoelasticity. The analytical expressions of the thermophysical quantities are obtained in the physical domain using the normal mode analysis. The solution to the analogous problem for homogeneous isotropic material is obtained by taking nonhomogeneity parameter suitably. Finally the results obtained are presented graphically to show the effect of nonhomogeneity on displacements, temperature and stresses for both types II and III of Green-Naghdi theory. It is found that a Mode-I crack influences strongly on the distribution of the field quantities with energy dissipation and without energy dissipation also.

MSC:

74F05 Thermal effects in solid mechanics
74R10 Brittle fracture
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