Stress analysis of functional gradient strip due to transient thermal heat

Abstract

The work is mainly focuses on the analysis of thermal gradients and its effect on thermal stresses in FGM (functional gradient material) grading-strip made up of TiC-Ni due to thermal heat with different rate: thermal shock, transient exponential and linear heat. In this paper, asymptotic analytical solution for exponential and linear heat will be investigated. Few models of material grading are considered: (a) models which depend on different volume content of TiC and (b) models with homogeneous layers. Thermal and mechanical properties of the material are assumed different along axis. It is assumed that Poisson's ratio and Young's modulus varies exponentially with the coordinate of the strip. The dependence on different material property idealizations is also investigated. As well for research maximum and minimal thermal stresses in paper compared laminated non-FGM and FGM strip. The maximum tensile stress obtained for FGM case. At the same time compressive stresses near heated surface for two-layered strip lager then for three-layered and less or absent for FGM strip. Heating/cooling opposite edge to thermal shocked ones leads to increase/decrease compressive stress in metal phase part in FGM and layered strip. At the beginning of heat the differences in compressive stress for thermal shock and exponential heat could differ in ten times. Compressive stress in linear heat case increase from beginning and stay stable as maximum from three heat cases as long as edge heat up to maximum temperature. The results obtained in this research paper allow us to analyze the validity of this method and to understand principles of thermal behavior on FGM-strip in a case of different conditions and different heat transfer rate.

The investigation of semi‐strip's stress state with a longitudinal crack

“…The substitution of the founded constants , = 0, 1, 2, = 0, 2 − 1 in the formulae (25), (26) and (19) completes the construction of the problem's solution in the second case.…”

“…The inverse transform (9) was applied to the components of (19) and the substitution of the displacement functions in the boundary conditions ( , 0) = ( ), ( + 0, ) = 0, ( + 0, ) = 0 reduces to the SSIE.…”

“…The system (23) is solved by the reduction method, which can be applied because the system (23) is quasi-regular. The substitution of the founded constants in the formulae (21), (22) and (19) completes the construction of the problem's solution in the first case.…”

“…Debonding fracture of a bimaterial strip with two interfaces is investigated subjected to concentrated forces and couples in [18]. The work [19] was focuses on the analysis of thermal gradients and its effect on thermal stresses in functional gradient material grading-strip due to thermal heat with different rate.…”