On the development of small-scale plastic strips from the point of intersection of microplastic deformation lines

1Kaminsky, AA, 2Kipnis, LA, 2Polischuk, TV
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
2Pavlo Tychyna Uman State Pedagogical University
Dopov. Nac. akad. nauk Ukr. 2019, 1:33-39
Section: Mechanics
Language: Ukrainian

The small-scale plastic prefracture zone at the point of intersection of microplastic deformation lines is determined. The problem on the plastic zone is reduced to the symmetric problem of the theory of elasticity for a
plane with four straight tangential displacement rupture lines emerging from its point. Two of them are semiinfinite, and two have a finite length. The exact solution of the problem is constructed by the Wiener—Hopf method.

Keywords: intersection of microplastic deformation lines, small-scale plastic prefracture zone, tangential displacement rupture lines, Wiener—Hopf method

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