Effect of local temperature field on retardation of curvilinear crack with allowance of plastic deformation
Keywords:
curvilinear crack, temperature field, end zone of plastic deformation, thermal stressesAbstract
We investigate the effect of a heat source on the development of curvilinear crack in the elongated plate in view of plastic deformations in the crack end zones. For retardate the curvilinear crack growth on the crack path in vicinity of the both ends by heating of domains S1 and S2 to temperature T0 are created zones of compressive stresses. The elastic-plastic problem for an infinite plate weakened by a curvilinear crack is considered. The crack faces outside of the end zones are free from external loads. The solution of this problem is obtained by the perturbation method and by reducing it to a boundary value problem of linear conjugation. The plane problem of the development of initial plastic deformation in the end vertices of curvilinear crack in elongated plate, when on the path of the crack growth has heated zone is solved. The basic relations describing the critical fracture diagram of the plate are obtained. The relations for the size of the end zones of plastic deformation and curvilinear crack opening at its end, depending on the applied load, the heat source intensity, the crack length, the geometric parameters of the heated zone are found. The dependence of the crack length on the applied tensile load, the heated zone intensity, as well as on the physical and geometrical plate parameters under monotonous loading is determined.
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