Abstract:To analyze the generalized thermoelastic problem in two-dimensional composite material, a new two-dimensional vertex-center finite volume method (CV-FVM) has been developed based on Lord-Shulman (L-S), Green-Lindsay (G-L) and traditional coupled theories. Using the staggered grid technique, the unknown variable is defined at the cell vertex, while the material property is defined at the cell center. The space terms of governing equations are discretized by bilinear quadrilateral element, and the time terms are discretized by Euler implicit formula. Thermal shock problem in infinite plate with homogeneous material is studied by CV-FVM. The results show that the present method can effectively capture the temperature jump and thermoelastic coupling characteristics at the front of the thermal wave and elastic wave. Then, the developed CV-FVM was used to study the thermal shock problem in composite with Ti-6Al-4V/ZrO2 with different material constant p, the results show that the value p=1 minimizes the maximum (tensile) stress applied at the middle of the functionally graded layer under L-S theory, and the value p=10 minimizes the maximum (tensile) stress under G-L and T-C theories. The effects of p on interfacial thermoelastic response is different under different coupling theories, one cannot conclude that a linear variation of the properties minimizes the maximum stress. The developed method can be used as an alternative tool for solving thermal wave and generalized thermoelastic problems.
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