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Using Discontinuity Method in Plane Thermoelastic Problems of Fracture Mechanics
Authors:A. S. Goltsev
Affiliation:1. Faculty of Mathematics and Information Technology , Donetsk National University , Donetsk , Ukraine a.goltsev@mail.donnu.edu.ua
Abstract:The boundary element method is used for solving stationary plane thermoelastic problem for heat-conductive crack. The influence functions for a segment with elementary discontinuities of temperature, its normal derivative (an analogue of heat flow) and displacements are obtained. The results of test problem correspond to a physical picture of the process. The illustrative problem is devoted to a question about the necessity to take into account the heat conductivity of cracks in the longitudinal direction in the thermoelastic problems of fracture mechanics. Recommendation for choosing thermal model of the cracks for metal structures is made.
Keywords:Discontinuity method  Fracture mechanics  Heat-conductive crack  Influence functions  Thermoelastic problems
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