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Two-dimensional fractal-like finite element method for thermoelastic crack analysis. (English) Zbl 1167.74589

Summary: The fractal-like finite element method has been proved to be very efficient and accurate in two-dimensional static and dynamic crack problems. In this paper, we extend our previous study to include the thermal effect for two-dimensional isotropic thermal crack problems. Both the temperature intensity factor and thermal stress intensity factor can be calculated directly. The temperature distribution is first found, which is imposed thereafter as a thermal load in the elastic problem. The transformation function used in the study has been found analytically. The effects of different thermal loading on the thermal stress intensity factor are presented. The numerical examples are compared with the results from other methods and find to be in good agreement.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
74F05 Thermal effects in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
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