Determining patterns in thermoelastic interaction between a crack and a curvilinear inclusion located in a circular plate

A two-dimensional mathematical model of the thermoelastic state has been built for a circular plate containing curvilinear inclusion and crack, under action uniformly distributed temperature across entire piece-homogeneous plate. Using apparatus singular integral equations (SIEs), problem was reduced to system two first second kind on contours crack inclusion, respectively. Numerical solutions have obtained certain cases disk with an elliptical in outside as well within inclusion. These were applied determine stress intensity coefficients (SICs) at tops crack. Stress could later be used critical values which begins grow. Therefore, such reflects, some extent, destruction mechanism elements those engineering structures cracks that are operated thermal power industry and, therefore, is relevant. Graphic dependences shape built, its mechanical thermal-physical characteristics, distance This would make it possible analyze stresses neighborhood vertices, depending geometric factors. The study's specific results, given form plots, prove useful development rational modes operation structural plates hosting reported builds earlier models stationary problems conductivity thermoelasticity bodies cracks.